please help asap!!
Application 19. Determine the derivative of the following & simplify (within reason): 18 Marks] a) y = sin(cosx) b) y = In(sin(e)) c) y = 4cscx

Answer:

24/25

Step-by-step explanation:

Please see the attached image.

The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.

Answer: 24/25

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

Learn more about the domain here:

https://brainly.com/question/28135761

#SPJ4

Answer:

put one point at (2, -4) and the other at (0, -1)

you can find the second point using the slope -3/2

Answer:

3/50 of a gallon

Step-by-step explanation:

50 / 1 = 3 / x

cross-multiply:

50x = 3

x = 3/50

Answer:

-6

Step-by-step explanation:

-6 is the answer .

Hope it helps you

Answer:

-6

Step-by-step explanation:

The y-intercept of the graph is located at (0, 0). So, the value of c is 0.

What is graph?

A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points, called vertices or nodes, which are connected by lines or curves, called edges or arcs. The vertices represent the variables, while the edges represent the relationship between them.

To find the y-intercept of the graph of y = -7x + 140y, we need to substitute x = 0 into the equation and solve for y. This will give us the y-coordinate of the point where the graph intersects the y-axis.

Substituting x = 0, we get:

y = -7(0) + 140y

y = 140y

Simplifying the equation, we get:

139y = 0

Dividing both sides by 139, we get:

y = 0

Therefore, the y-intercept of the graph is located at (0, 0). So, the value of c is 0.

To learn more about graph visit:

https://brainly.com/question/19040584

#SPJ1

Answer:

c = 6

Step-by-step explanation:

Answer:

First, rearrange the equation so you can get the like terms together

3c=23-5

3c=18

c=18/3

c=6

Step-by-step explanation:

I hope this is the answer, and if it helped give me brainliest

The percentage of the total hours did Andrea work is,

⇒ 27.1%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of hours to work is,

⇒ 5.8 + 8.1 + 7.3 + 8.7 hours

⇒ 29.9 hours

Here, Andre work 8.1 hours.

Hence, The percentage of the total hours did Andrea work is,

⇒ 8.1 / 29.9 × 100

⇒ 27.1%

Thus, The percentage of the total hours did Andrea work is,

⇒ 27.1%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

Answer:

b) 1/2

because 2 dies will have 12 faces

Answer:

cheapt

Step-by-step explanation:

Answer:

k=-9

Step-by-step explanation:

k-8+8=-17+8

k=-9

Step-by-step explanation:

k-8=17

k-8+8=17+8

k=25

Answer:

The grade of this sixth and (final) test would be 91.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

Given:

In triangle ABC,  a = 6, c = 4, and B = 75°.

To find:

The measure of b.

Solution:

According to the Law of Cosine:

\(b^2=a^2+c^2-2ac\cos B\)

Substituting the given values in the above formula, we get

\(b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)\)

\(b^2=36+16-48(0.2588)\)

\(b^2=52-12.4224\)

\(b^2=39.5776\)

Taking square root on both sides, we get

\(b=\sqrt{39.5776}\)

\(b=6.291073\)

\(b\approx 6.29\)

The measure of side b is 6.29 units.

Therefore, the correct option is B.

Answer:

y=-x

Step-by-step explanation:

Slope of the line = -1

Parallel line slope = -1, y intercept 0

y = -x

:]

Answer:

19.4

Step-by-step explanation:

4/x=7/34, 7x = 136, x=19.43, x = 19.4

Function f(x) approaches to ∞ as x approaches to 2 from left and from the right.

The absolute values are separated into two function given as,

                 |a|  = {  a  ,  if a≥0   and  -a  ,  if <0}

The expression that we have been given is

    f(x) = 4|x/(x^2 – 4)|

the absolute expression can split in following two ways which are

      |x/(x^2 - 4)| =  {-[x/(x^2 – 4)]  ,  if x<2       and  [x/(x^2 – 4 )]  if  x≥2}

a) Lim x -> 2-  f(x)  =  lim x -> 2-     4{-[x/(x^2 – 4)]}

                            =   lim x -> 2-    4[x/(4 - x^2 )]

                            =  4[2/(4 – 4)]

                             = 8/0

                            = ∞  (because something divide by 0 is infinite)

b)  Lim x -> 2+  f(x)  =  lim x -> 2+    4[x/(x^2 – 4)]

                             =  4[2/(4 – 4)]

                             = 8/0

                            = ∞  (because something divide by 0 is infinite)

Hence f(x) approaches to ∞ as x approaches to 2 from the left and from the right.

Learn more about limit function here : https://brainly.com/question/23935467

#SPJ9

Answer:

I have made it in above picture

hope it helps

Answer:

D. (5x-4)(3x + 2)

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Let us consider the black paint in the mixture = 7x

and white paint in the mixture = 12x

total quantity of mixture = 600ml

according to the question , black : white paint = 7 : 12

quantity of black paint = \(\frac{7}{19}\) × 600= 221.052

quantity of white paint =  \(\frac{12}{19}\) × 600 = 378.94

{ 221.052ml black paint + 378.94 ml white paint = 599.99 ml grey paint }

Ans :- It would be 221.052 ml of black paint

Point ( 0 , -27 ) on the line and  ( -9 , 0 ) are not on the line

Given :

Madison is reeling in her string at a steady rate the linear equation 3y - 9x = -81 can be used to find y the number of feet of kite string she still needs to reel in after x seconds .

Points ( 0 , -27 )

when x = 0

3y - 9 * 0 = -81

3y - 0 = -81

3y = -81

y = -81 / 3

y = -27

so point ( 0 , -27 ) on the line .

when y = 0

3 * 0 - 9x = -81

0 - 9x = -81

-9x = -81

x = 81/9

x = 9

so ( -9 , 0 ) are not on the line

Learn more about the equation here:

https://brainly.com/question/29657983

#SPJ4

The correct answer is D. an approximation of the time and expense of the research report.

A research request agreement typically includes all of the following items:

A. the scales for the measures: This refers to the specific measurement scales or instruments that will be used to collect data in the research.

B. the decision problem confronting the manager: This outlines the specific problem or issue that the research aims to address and provide insights for decision-making.

C. the target population from which a sample will be drawn: This defines the specific group or population that the research will focus on and from which a representative sample will be selected.

D. an approximation of the time and expense of the research report: This item is not typically included in a research request agreement. The time and expense of the research report are usually discussed separately during project planning and budgeting.

Therefore, the correct answer is D. an approximation of the time and expense of the research report.

To know more about typically refer here:

https://brainly.com/question/6069522#

#SPJ11

The value of the integral ∫(2 - y^2) ds over the right half of the circle x^2 + y^2 = 4 is 2θ + sin(2θ) + C, where θ represents the angle parameter and C is the constant of integration.

The value of the integral ∫(2 - y^2) ds over the right half of the circle x^2 + y^2 = 4 can be calculated using appropriate parameterization and integration techniques.

To evaluate this integral, we can parameterize the right half of the circle by letting x = 2cosθ and y = 2sinθ, where θ ranges from 0 to π. This parameterization ensures that we cover only the right half of the circle.

Next, we need to express ds in terms of θ. By applying the arc length formula for parametric curves, we have ds = √(dx^2 + dy^2) = √((-2sinθ)^2 + (2cosθ)^2)dθ = 2dθ.

Substituting the parameterization and ds into the integral, we obtain:

∫(2 - y^2) ds = ∫(2 - (2sinθ)^2) * 2dθ = ∫(2 - 4sin^2θ) * 2dθ.

Simplifying the integrand, we get ∫(4cos^2θ) * 2dθ.

Using the double-angle identity cos^2θ = (1 + cos(2θ))/2, we can rewrite the integrand as ∫(2 + 2cos(2θ)) * 2dθ.

Now, we can integrate term by term. The integral of 2dθ is 2θ, and the integral of 2cos(2θ)dθ is sin(2θ). Therefore, the evaluated integral becomes:

2θ + sin(2θ) + C,

where C represents the constant of integration.

In conclusion, the value of the integral ∫(2 - y^2) ds over the right half of the circle x^2 + y^2 = 4 is given by 2θ + sin(2θ) + C.

To learn more about Integration, visit:

https://brainly.com/question/27746495

#SPJ11

Answer: 42

Step-by-step explanation:

10+8^3/10

Exponets first

8^3=512

Then Divide

512/16=32

Finally add

32+10=42

Use Order of Operations

Answer:

\(6^\frac{1}{10}\)

Remember that

The length of the diagonal of the inscribed square is equal to two times the radius of the circle

In this problem

The radius is 2 units

therefore

The length of the diagonal is 4 units

Answer:

x -1

Step-by-step explanation:

-(-x + 1)

Distribute the minus sign

- 1 * -x  + -1 (-x)

x -1

Steps to solve:

-(-x + 1)

~Distribute the negative sign

(- * -x) + (- * 1)

~Simplify

x - 1

Best of Luck!

The value of x when the tangents intersect is 24.

The theorem of tangent intersection states that the the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's use the theorem to find the value of x in the circle as follows:

61 = 1 / 2 × ((10x + 1) - (5x - 1))

61 = 1 / 2 × (10x - 5x + 1 + 1)

61 = 1 / 2 × (5x + 2)

61 = 1 / 2 (5x + 2)

61 = 5 / 2 x + 1

61 - 1 = 5 / 2 x

60 = 5 / 2 x

cross multiply

5x = 120

divide both sides by 5

x = 120 / 5

x = 24

learn more on tangent intersection here: https://brainly.com/question/21481562

#SPJ1

Answer:

b. option Is the correct answer

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

The journal enetry,

Debit cash is $67,000

Debit discount on payable is $670

Credit bonds payable is $66,330

(Recorded on bonds )

Debit Interest expense is $46,90

Debit discount on bonds payable is $46.9

credit cash is $4643.1..

Bonds payable

Bonds issued when the market price equals the standard rate are issued at face value. In other words, the cash received is face value.

Interest paid on the par Bond includes only the indicated. Interest rate calculated based on the number of annual payments.

We have given that

face amount, F = $67,000

Annually paid interest= $67,000

rate of bond, r = 7%

time bond, n = 10 year

market bond of interest= 7%

Coupon ammount = 7% of 67000 =$ 4690

we have to calculate bond issue and first interest payment .

bond price= C×[1 - (1 + r)⁻ⁿ] /r + F/(1+r)ⁿ

= 4690[ 1 - (8)¹⁰]/7 + 67000/(8)¹⁰

=669.99 + 0.000062 = 669.9901 ~ 670

Interest Expense = Principal * Rate * Time

=> Interest Expense = $67,000×7% ×1

= $46,90

discount or primum on bond payable

= interest expense - $66,330×7% × 1

= $46,90- $4643.1 = $46.9

date General

General journal debit credit

January, cash $67,000 $66,330

2024 Bonds

payable

Discount on

bond $670

payable

December

31, cash $4643.1

2024 interest

expense $46,90

Discount on

bond $46.9

payable

To learn more about interest expense, refer:

https://brainly.com/question/12553420

#SPJ4

Complete Question:.Pretzelmania, Inc., issues 7%, 10-year bonds with a face amount of $67,000 for $67,000 on January 1, 2024. The market interest rate for bonds of similarrisk and maturity is 7%. Interest is paid annually on December 31.Record the bond issue and first interest payment on December 31 . (If no entry is required for a transaction/event, select "No journal entry required" in thefirst account