Find the equation of tangent and normals to the following curves at the indicated points on them : x sin 2y = y cos 2x at (π/4, π/2)

Answer:

14/3

Step-by-step explanation:

4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3

This expression yields: 4x^8 = 4 * (1/4)^(8/3)

If the expression 4x^3 is equal to 1 for some value of x, we can find the value of x by solving the equation:

4x^3 = 1

Dividing both sides of the equation by 4, we get:

x^3 = 1/4

Taking the cube root of both sides, we find:

x = (1/4)^(1/3)

Now, to determine the value of the expression 4x^8 for the same value of x, we substitute the value of x into the expression:

4x^8 = 4 * ((1/4)^(1/3))^8

Simplifying this expression yields:

4x^8 = 4 * (1/4)^(8/3)

Further simplification depends on whether you want an exact answer or an approximation. If you need an approximate value, please provide the desired level of precision.

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This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to, and if two columns are the same, then the matrix does not change the area or volume of the space.

According to Theorem 3 in Chapter 3, if two rows or two columns in a square matrix are the same, then the determinant of that matrix is 0. This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to. If two rows or two columns are the same, then the matrix does not change the area or volume of the space, so the determinant is 0.

To show this, let's consider a square matrix A with two identical rows:

A = [a1, a2, a3; a1, a2, a3; b1, b2, b3]

The determinant of A can be found using the formula:

det(A) = a1 * det([a2, a3; b2, b3]) - a2 * det([a1, a3; b1, b3]) + a3 * det([a1, a2; b1, b2])

Since the first two rows are the same, the first two determinants in this formula will be the same:

det([a2, a3; b2, b3]) = det([a1, a3; b1, b3])

So the formula simplifies to:

det(A) = a1 * det([a2, a3; b2, b3]) - a2 * det([a2, a3; b2, b3])

= (a1 - a2) * det([a2, a3; b2, b3])

Since a1 = a2, the determinant is 0:

det(A) = 0

The same is true for two identical columns. The determinant will also be 0 in that case. This is because the determinant is a measure of how much the matrix changes the area or volume of the space it is applied to, and if two columns are the same, then the matrix does not change the area or volume of the space.

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Last year, the profit for the clothing is - 1.8 million

Profit can be described as the gain gotten by an organization for the sale of a product.

The profit for last year is $2.3 million

This year the profit was 4.1 million

Therefore profit last year can be calculated as follows

= $2.3 million - $4.1 million

= - 1.8 million

Hence the the profit last year for the clothing is - 1.8 million

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Answer:

I believe the answer is

f = 25m + 12

Answer: f = 12 - 1/25m

Step-by-step explanation:

I did the quiz!

Answer:

0.07 mph

Step-by-step explanation:

divide the speed value by 44.704

Answer:

3 cm / second to miles / hour

3 cm =  1.8641 x 10^-5 miles

1 second = 0.000277777 hours

1.8641 x 10^-5 miles / 0.000277777 hours  

= 0.067108 miles per hour

Answer is .07 mph

http://www.1728.org/convvel.htm

(That is a good velocity converter).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The statement "alpha = beta" means that the two variables "alpha" and "beta" have the same value. This is know as equality in mathematics.

It's important to note that "alpha" and "beta" are just placeholder names for variables, and without context, it's impossible to determine what they represent. They could be representing any type of data, such as numbers, strings, or objects.

For example, if we have two variables:

alpha = 10

beta = 10

Then, the statement "alpha = beta" is true, because both variables have the value of 10. However, if we have:

alpha = "hello"

beta = "world"

Then, the statement "alpha = beta" is false, because the two variables have different values ("hello" and "world", respectively).

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Answer:

Step-by-step explanation:

1 in is 35 feet

1.25 * 35= 43.75 feet

Answer:

43.75

Step-by-step explanation:

1.25 * 35 = 43.75

Answer:

10/4

15/6

20/8

Step-by-step explanation:

Answer:4

Step-by-step explanation:

H= 2*26/5+8

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

(a) If your entire portfolio is now composed of stock a and you can add some of only one stock to your portfolio, you would choose stock D of corr(a, d) = .45.

(b) No, the answer to (a) would not change.

(c) No, you would not change your answers to parts a and b if the T-Bill rate is 8%.

A- Since all stocks have the same expected rate of return and standard deviation, we choose the stock that will result in the lowest risk. This leads to the intuitive result that the desired addition would be the stock with the lowest correlation with Stock A, which is Stock D.
B- The answer to (a) would not change, at least as long as investors are not risk lovers.

C- Treasury Bills (T-bills) 1.3 Treasury bills or T-bills, which are money market instruments, are short-term debt instruments issued by the Government of India. Treasury bills are zero coupon securities and pay no interest.

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A- Since all stocks have the same expected rate of return and standard deviation, we choose the stock that will result in the lowest risk. This leads to the intuitive result that the desired addition would be the stock with the lowest correlation with Stock A, which is Stock D.

B- The answer to (a) would not change, at least as long as investors are not risk lovers.

C- Treasury Bills (T-bills) 1.3 Treasury bills or T-bills, which are money market instruments, are short-term debt instruments issued by the Government of India. Treasury bills are zero coupon securities and pay no interest.

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

The greatest possible value of k such that n is divisible by 5k is 39.

Any number that cannot be divided by two is considered an odd number. For instance, 25 is strange because it cannot be split by 2. A integer is considered to be divisible by two if its last digit is any of the following: 0, 2, 4, 6, or 8.

To find the greatest possible value of k such that n is divisible by 5k, we need to determine the highest power of 5 that divides n.

The product of the odd numbers from 99 to 199, inclusive, can be expressed as:

n = 99 * 101 * 103 * ... * 197 * 199

To find the power of 5 that divides n, we need to determine the number of factors of 5 in the product.

A factor of 5 is introduced for every multiple of 5 in the product. We need to count the multiples of 5 in the range from 99 to 199.

The largest multiple of 5 in that range is 195, which is 39 * 5.

Therefore, there are 39 multiples of 5 in the product.

To find the highest power of 5 that divides n, we divide 39 by k and find the largest possible integer value for k.

The largest possible value of k is the largest factor of 39.

The factors of 39 are 1, 3, 13, and 39.

Since we are looking for the greatest possible value of k, the answer is 39.

Therefore, the greatest possible value of k such that n is divisible by 5k is 39.

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Follow these procedures to calculate the mean absolute deviation.

1. Determine the data's mean by adding all of the values and dividing by the number of values in the data set.

2. Subtract the mean from each of the data points.

3. Make each difference a good one.

4. Add up all of the positive differences.

5. Subtract this total from the amount of data values in the collection.

This is the  mean absolute deviation.

A data set's average absolute deviation is the sum of its absolute departures from a central point. It is a statistical dispersion or variability summary statistic.

The average distance between the values in a data collection and the set's mean is described by mean absolute deviation. A data collection with a mean average deviation of 3.2, for example, has values that are 3.2 units away from the mean on average.

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Answer: 1,200 and 1,100

Step-by-step explanation:

For to the nearest hundred

1,183 = 1,200

1,145 = 1,100

Let's recall what are the symbols

The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Answer:

up

Step-by-step explanation:

a is positive

The translation of the sentence to an equation is 7 1/9 = 2 4/5 + m

From the question, we have the following parameters that can be used in our computation:

seven and one ninth equals two and four fifths plus m

The number is represented with m

So, the statement remains unchanged as follows

seven and one ninth equals two and four fifths plus m

seven and one ninth means 7 1/9

So, we have the following representation

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals two and four fifths plus m

two and four fifths means 2 4/5

So, we have the following representation

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals 2 4/5 plus m

Lastly, plus and equals can be represented as + and =

This gives

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 = 2 4/5 + m

Hence, the equation is 7 1/9 = 2 4/5 + m

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Complete question

Translate the sentence into an equation.

seven and one ninth equals two and four fifths plus m

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

answer to the question

graph

Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

Hey there!

m(4 + 7)

= 1m(4 + 7)

DISTRIBUTE m WITHIN the PARENTHESES

= m(4) + m(7)

= 4(m) + 7(m)

= 4(1m) + 7(1m)

= 4m + 7m

COMBINE the LIKE TERMS

= 11m

Therefore, your answer is: 11m

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2. More time spent on homework results in higher grades.

Step-by-step explanation:

The more time spent on homework pays off in higher grades. If this is incorrect my apologies.

More weight on one side of a balance scale will tip the scale in that direction is relationship is an example of causation.

Causation is the capacity of one variable to influence another.

Causation means that a change in one variable results in a change in another variable.

More weight on one side of a balance scale will tip the scale in that direction.

In this case, adding more weight to one side of the scale will directly cause it to tip in that direction.

There is a correlation between the variables, but it's not necessarily a direct cause-and-effect relationship.

The more education a person has, the more they read suggests that education and reading are correlated, but having more education doesn't necessarily cause a person to read more.

Hence,  More weight on one side of a balance scale will tip the scale in that direction is an example of causation.

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Answer:

no

Step-by-step explanation:

-5.5=-55/10=-11/2

-11/2 is not an integer because it is not a whole number. even if it is negative, as long as it is in fraction form it is not an integer. therefore rachel is not correct

The number of elements in regions I, III, and A\ {}B are 31, 48, and 12, respectively.

We can use the Venn diagram and the given information to solve for the number of elements in each region.

Region I: The number of elements in region I is equal to the number of elements in set A minus the number of elements in the intersection of set A and set B. This is given by $n(A) - n(A \cap B) = 38 - 12 = \boxed{31}$.

Region III: The number of elements in region III is equal to the number of elements in set B minus the number of elements in the intersection of set A and set B. This is given by $n(B) - n(A \cap B) = 41 - 12 = \boxed{48}$.

Region A\{}B: The number of elements in region A\{}B is equal to the number of elements in the universal set minus the number of elements in set A, set B, and the intersection of set A and set B. This is given by $n(U) - n(A) - n(B) + n(A \cap B) = 70 - 38 - 41 + 12 = \boxed{12}$.

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Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.