3 6 9 74670 find the mode median range

Spherical geometry would be use in the real world practical applications to navigation. Professions that would need to make it use is astronomy.

These professions make use of spherical geometry for making Spherical conic, Spherical distance, Spherical polyhedron, Half-side formula.

Spherical geometry is the geometry of the two-dimensional surface of a sphere. In this context the word "sphere" refers only to the 2 dimensional surface and other terms like "ball" or "solid sphere" are used for the surface together with its 3-dimensional interior.

An important geometry related to that of the sphere is that of the real projective plane; it is obtained by identifying antipodal points (pairs of opposite points) on the sphere.

Locally, the projective plane has all the properties of spherical geometry, but it has different global properties. In particular, it is non-orientable, or one-sided, and unlike the sphere it cannot be drawn as a surface in 3-dimensional space without intersecting itself.

Spherical geometry would be use in the real world practical applications to navigation. Professions that would need to make it use is astronomy.

These professions make use of spherical geometry for making Spherical conic, Spherical distance, Spherical polyhedron, Half-side formula.

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Answer:

3/4

Step-by-step explanation:

Finite-state machines for given inputs: (a) 0s multiple of 3: 3-state machine. (b) At least four 1s: 4-state machine. (c) Exactly one 1: 2-state machine. (d) Begins with 000: 3-state machine. (e) Second is 0, fourth is 1: 4-state machine. (f) 01 pairs or 2 1s + 0s: 3-state machine. (g) Ends in 110: 3-state machine.

To construct finite-state machines that act as recognizers for the given inputs, we can follow these guidelines:

(a) For the set of all strings where the number of 0s is a multiple of 3, we can use a finite-state machine with three states. Start with the initial state, and transition to the next state whenever a 0 is encountered. After three transitions, go back to the initial state. If the machine ends in the accepting state, output 1.
(b) For the set of all strings containing at least four 1s, we can use a finite-state machine with four states. Start with the initial state, and transition to the next state whenever a 1 is encountered. If the machine enters the final state after four transitions, output 1.

(c) For the set of all strings containing exactly one 1, we can use a finite-state machine with two states. Start with the initial state and transition to the final state when the first 1 is encountered. Output 1 only if the final state is reached.

(d) For the set of all strings beginning with 000, we can use a finite-state machine with three states. Start with the initial state and transition to the next state whenever a 0 is encountered. If the machine reaches the final state after three transitions, output 1.

(e) For the set of all strings where the second input is 0 and the fourth input is 1, we can use a finite-state machine with four states. Start with the initial state and transition to the next state based on the inputs. Output 1 only if the machine reaches the final state.

(f) For the set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two 1s followed by any number (including none) of 0s, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

(g) For the set of all strings ending in 110, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

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Finite-state machines (FSMs) can be constructed to act as recognizers for specific patterns in input strings. These are examples of how to construct FSMs as recognizers for different patterns in input strings. Each FSM is designed to produce an output of 1 when the input received matches the description provided.

Let's consider the given cases and construct FSMs for each one.

(a) The set of all strings where the number of Os is a multiple of 3:
To construct an FSM for this, we can keep track of the number of Os encountered so far. Initially, set the count to zero. When an O is encountered, increment the count by one. If the count becomes a multiple of 3, the FSM outputs 1; otherwise, it outputs 0. Reset the count to zero whenever a 1 is encountered.

(b) The set of all strings containing at least four 1s:
To create an FSM for this, we can keep track of the number of 1s encountered so far. Initially, set the count to zero. When a 1 is encountered, increment the count by one. If the count becomes equal to or greater than four, the FSM outputs 1; otherwise, it outputs 0.

(c) The set of all strings containing exactly one 1:
To build an FSM for this, we can have two states: a "no 1 encountered" state and a "1 encountered" state. Initially, start in the "no 1 encountered" state. Whenever a 1 is encountered, transition to the "1 encountered" state. If another 1 is encountered in the "1 encountered" state, transition to a third "more than one 1 encountered" state. In this case, the FSM outputs 0. Otherwise, if no additional 1s are encountered, the FSM outputs 1.

(d) The set of all strings beginning with 000:
To create an FSM for this, start in an initial state. When a 0 is encountered, transition to a second state. If two consecutive 0s are encountered in the second state, transition to a third state. Finally, if a third 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

(e) The set of all strings where the second input is 0 and the fourth input is 1:
To construct an FSM for this, start in an initial state. When the first input is read, transition to a second state. In the second state, transition to a third state if the second input is 0. In the third state, transition to a fourth state if the third input is not 0. Finally, in the fourth state, if the fourth input is 1, the FSM outputs 1; otherwise, it outputs 0.

(f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os:
To create an FSM for this, we can have multiple states to represent different scenarios. We start in an initial state and transition to a second state when a 0 is encountered. In the second state, transition back to the initial state if a 1 is encountered. If a 1 is encountered in the initial state, transition to a third state. In the third state, transition to a fourth state if an O is encountered. Finally, if an O is encountered in the fourth state, the FSM outputs 1; otherwise, it outputs 0.

(g) The set of all strings ending in 110:
To construct an FSM for this, start in an initial state. Transition to a second state if a 1 is encountered. In the second state, transition to a third state if a 1 is encountered again. Finally, if a 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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The equation for the inverse variation between y and x is given by y = k/x, where k is the constant of proportionality. When y = 6 and x = 5, we can use these values to find the constant of proportionality and establish the specific inverse variation relationship.

In inverse variation, the relationship between two variables, y and x, can be expressed by the equation y = k/x, where k is the constant of proportionality. This means that as x increases, y decreases, and vice versa, while their product remains constant.

To find the constant of proportionality (k) in this problem, we use the given information: y = 6 when x = 5. Plugging these values into the inverse variation equation, we get 6 = k/5. To solve for k, we can cross-multiply and find that k = 6 * 5 = 30.

Therefore, the equation for the inverse variation between y and x is y = 30/x. This equation signifies that as x increases or decreases, y will vary inversely in such a way that their product remains constant at 30. For instance, when x = 10, y = 30/10 = 3, and when x = 15, y = 30/15 = 2, satisfying the inverse variation relationship.

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Answer:

(8,6×10^-3) (8×10^-1)

=(0,0086). ( 0.8)

Answer:

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

Answer:

120?

Step-by-step explanation:

Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: \(x + y = 240\)

To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. \(x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y\) Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.

Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.

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Statistics indicate that 45% of all small businesses fail after three years. This is a concerning statistic for entrepreneurs who are considering starting their own business.

It is important for potential business owners to understand the reasons why small businesses fail and take steps to mitigate these risks. Some common reasons for failure include poor management, insufficient funding, lack of market demand, and competition.

One way to mitigate these risks is by having a solid business plan in place that includes a realistic assessment of the market, a clear understanding of the competition, and a plan for securing financing. Additionally, having a strong risk tolerance and the ability to adapt to changing market conditions can also increase the chances of success for small businesses.

Ultimately, the key to success for small businesses is a combination of careful planning, strong management, and a willingness to take calculated risks.

One of the contributing factors to this failure rate is the business owner's risk tolerance (3) B), which may lead them to take on more financial obligations than they can handle. Additionally, securing proper financing (4) D) is crucial for the success and growth of a small business, and a lack of adequate funding may contribute to the high failure rate.

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Answer:

a.-8,-5,0,2,6

Step-by-step explanation:

We have to find the list which shows the integers in order from least to greatest.

We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.

a.-8,-5,0,2,6

-8<-5<0<2<6

Hence, it is true.

b.0,2,-5,6,-8

-8 least and 6 is greatest

Therefore, it is false.

c.-5,-8,0,2,6

It is false.

d.0,-8,-5,2,6

It is false.

Option a is true,

Answer:

There is only one shape who is similar to A which is the pink one.

Step-by-step explanation:

The correct option is C. The combination and permutations rules do not apply because repetition is allowed and numbers are selected with replacement. The multiplication counting rule applies to this problem.

With repetition, neither the combination rule nor the mutation rule can be utilized. This is due to the fact that the permutations rule is a rule for taking sets that are not ordered and putting them in a particular order (permutations). The formula for permutations with repetition is nr, where n is the number of options available and r is the number of items you choose. Since order is important in this case, the permutation formula applies and repetition is permitted, so the permutation rule with various items applies to this problem. Since n=10 and r=4, the number of permutations is 104 = 10,000.

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The problem involves finding the distance from a given point (12, 14, 1) to the y-z plane. The distance can be determined by finding the perpendicular distance from the point to the plane.

The equation of the y-z plane is x = 0, as it does not depend on the x-coordinate. We need to calculate the perpendicular distance between the point and the plane.

To find the distance from the point (12, 14, 1) to the y-z plane, we can use the formula for the distance between a point and a plane. The formula states that the distance d from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0 is given by the formula:

d = |Ax₀ + By₀ + Cz₀ + D| / √(A² + B² + C²)

In this case, since the equation of the y-z plane is x = 0, the values of A, B, C, and D are 1, 0, 0, and 0 respectively. Substituting these values into the formula, we can calculate the distance from the point to the y-z plane.

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The given data can be entered into an Excel sheet as shown below: Excel Sheet Given data can be used to create a chart in Excel as shown below: Excel Chart The above chart shows the sales data for the year 1992. As it can be observed from the chart, the sales

Then the sales decreased and remained constant for the remaining months. Based on the given data, the sales increased from January to May, with the highest sales in May. Then the sales decreased and remained constant for the remaining months. The chart shows the sales data for the year 1992. To create an Excel sheet: Step 1: Open Excel and select a new blank workbook.

Step 2: Enter the headings Month and Total Sales in cell A1 and B1, respectively. Step 3: Enter the months from January to November in column A from cells A2 to A12.Step 4: Enter the sales data for each month in column B, from cells B2 to B12.Step 5: Once the data is entered, select cells A1:B12.Step 6: Click on Insert from the menu bar and select the appropriate chart type. Step 7: A chart is created based on the data entered, which can be formatted as required. To create the chart: Step 1: Select the data to be included in the chart. Step 2: Click on Insert from the menu bar and select the appropriate chart type. Step 3: Once the chart is inserted, it can be formatted as required. To edit the chart: Step 1: Click on the chart to select it. Step 2: Click on Chart Tools from the menu bar. Step 3: The chart can be edited using the various options available under Chart Tools.

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Answer:

56%

Step-by-step explanation:

divide 14/25 = 0.56

Answer:

58.9871 rounded to the second decimal place is 58.98.

Step-by-step explanation:

The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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Answer: D: 2/3

Step-by-step explanation: the numbers you can get is 2, 1, 3, or 5, and the chance of rolling a certain number on a die is 1/6, so for 4 numbers it would be 4/6.

Tell me if I’m wrong

Sample space=6

Getting 2 or an odd no

Probability

p(E)

Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

Step-by-step explanation:

I'm assuming that you need to pick the correct solution set using the given inequality. Let's solve this much like we would an equation, ubt taking into account that the sign shown is a less than sign. This implies that the dot over whatever x is less than is not filled in. So forget a and c since those dots are filled in. Let's see which one, b or d, is the answer we need.

5x + 28 < 13 and

5x < 13 - 28 and

5x < -15 so

x < -3. The choice you're looking for is d. Each line on that graph represents 3 units.

Answer:

55 ÷ 11 +5 × 19 × 2 =195

If you take turns in filling each gap then at one point you can get the answers.

Brainliest pls if it is correct! And hope it helps!

The term that describes -8/27 is ;

A rational number.

A rational number is a number formed when two interger

(a) To find the probability that one randomly selected bulb of this type survives 2.5 years of use, we need to convert the time from years to hours.

Since there are 365 days in a year and 24 hours in a day, 2.5 years is equal to 2.5 * 365 * 24 = 21,900 hours.

Next, we standardize the lifetime value using the mean and standard deviation given. The z-score for 21,900 hours can be calculated as (21,900 - 13) / 1.5 = 14,600 / 1.5 ≈ 9,733.33.

Using a standard normal distribution table or calculator, we can find the probability associated with the z-score of 9,733.33. The probability is extremely close to 1, indicating that the bulb is very likely to survive 2.5 years of use.

(b) To find the probability that at least one in two bulbs of this type will survive 2.5 years of use, we can use the complement rule. The probability that none of the bulbs survive is the complement of at least one bulb surviving.

Since the bulbs are independent, the probability that a single bulb does not survive is given by 1 - P(survival of one bulb), which is approximately 1 - 1 = 0.

Therefore, the probability that none of the two bulbs survive is 0 * 0 = 0. The complement of this is 1, so the probability that at least one bulb survives is 1.

(c) To determine the number of bulbs needed to guarantee 99.99% reliability that at least one can light the room after 3 years, we need to find the minimum number of bulbs such that the probability of all bulbs failing is less than or equal to 0.01%.

Using the formula for the probability of all bulbs failing, which is (1 - P(survival of one bulb))^n, we can set up the equation (1 - 0.9999)^n ≤ 0.0001.

Taking the natural logarithm of both sides, we have n * ln(0.0001) ≤ ln(1 - 0.9999), and solving for n, we find n ≥ ln(1 - 0.9999) / ln(0.0001).

Calculating this expression, we get n ≥ 35,877.

Therefore, at least 35,877 bulbs of this type need to be installed in the room to guarantee 99.99% reliability that at least one can light the room after 3 years.

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Answer:

32

Step-by-step explanation:

Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

To understand how to derive the perimeter of \(\triangle AEC\), recall the following related to centroid of a triangle in reference to the image in the attachment below:

Also, note that:

We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles \(\triangle AEC\):

G = centroid  (given)

AB = 6 units (given)

FA = 5 units (given)

EA = EC (equal sides of isosceles triangle)

EF = FA = 5 units

EA = EF + FA

EA = 5 + 5

EA = 10 units

EC = EA (equal sides of isosceles)

EC = 10 units

AB = CB = 6 units

AC = AB + CB

AC = 6 + 6

AC = 12 units

Perimeter of triangle AEC = AC + EA + EC

Perimeter of triangle AEC = 12 + 10 + 10 = 32 units

Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

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The domain of the relation is 0 ≤ x ≤ 4 and the range of the relation is all real numbers  (-∞, ∞)

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We know that Domain : the set of possible x-values (the "input" values)

And also, we know that Range : the set of y-values (the "output" values)

In the given graph we have attached below, the domain of the relation is 0 ≤ x ≤ 4

The range = all real numbers (-∞, ∞)

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We have shown that cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ and c > 0.

To show that cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ, and c>0, we will use the CDF method:

1. Define the transformation: Let Y = cX be a function of the random variable X, where c > 0.

2. Find the CDF of Y: We want to find P(Y ≤ y), which is equal to P(cX ≤ y) or P(X ≤ y/c).

3. Express CDF of Y in terms of X: Since P(X ≤ y/c) is the CDF of X at y/c, we have FY(y) = FX(y/c).

4. Find the PDF of X: The exponential distribution has the PDF fX(x) = λ * exp(-λx) for x ≥ 0.

5. Differentiate the CDF of Y to find its PDF: To find fY(y), we differentiate FY(y) with respect to y. Using the chain rule, we have:

fY(y) = d(FX(y/c))/dy = fX(y/c) * (1/c)

6. Substitute the PDF of X: Now, we replace fX(y/c) with its exponential form λ * exp(-λ(y/c)):

fY(y) = (λ * exp(-λ(y/c))) * (1/c)

7. Simplify the expression: fY(y) = (λ/c) * exp(-λ(y/c))

This is the PDF of an exponential distribution with parameter λ/c. Therefore, cX is exponential with parameter λ/c when X is an exponential random variable with parameter λ and c > 0.

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Given the equation:

You know that the derivative with respect to "x" is:

• The Slope-Intercept Form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

In this case, to find the slope of the tangent line, you need to substitute the coordinates of the point given in the exercise, into the derivative found in Part A. Then, knowing that:

You get:

Substitute the slope and the coordinates of the point into this equation:

Then:

Solve for "b":

Therefore, you can write this equation of the tangent line:

• In order to find the equation of the line normal line at the same point, you need to

remember that it is perpendicular to the tangent line.

By definition, the slopes of perpendicular lines are opposite reciprocal. Therefore, knowing the slope of the tangent line, you can determine that the slope of the normal line is:

You can simplify as follows:

Knowing the point given in the exercise and the slope of the normal line, you can substitute them into this equation and solve for "b":

Then, you get:

Finally, knowing the slope and the y-intercept, you can write the equation of the normal line:

Hence, the answer is:

• Equation of the tangent line:

• Equation of the normal line: