Input and output notation is given for two functions The profit generated by the sale of c computer chips is P(c) dollars. The number of computer chips a manufacturer produces during t hours of production is C(t) chips. (a) Determine whether the pairs of functions can be combined by function composition. O Yes O No If the pair of functions can be combined by function composition, draw and label its input/output diagram thours C C(t) computer chips The functions cannot be combined by function composition P P(C(t)dollars c chips t hours P(c) dollars P(t) dollars C C C(P(c)) chips C(P(tdollars (b) If the pair of functions can be combined by function composition, choose the function notation for the new function OP(c) the profit in dollars generated by the sale of c computer chips O C(P(t)) the cost aftert hours of production O P(C(t)) the profit generated from the sale of computer chips produced after t hours O C(t)the number of chips a manufacturer has produced after t hours of production O The functions cannot be combined by function composition.

Q: For the linear model, do the following. The profit is f(x) = 3x - 2.5 thousand dollars when x hundre...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Determine the location and value of extreme values of f on the given interval, if they exist.   Type...

A: Given information:The given function is  

Q: Question Help Use the division algorithm to rewrite the improper fraction as the sum of a quotient a...

A: Given that, the improper fraction is

Q: Let g(x)=x^2+3. Find a function f that produces the given composition.  (f o g) (x) = x^2

A: Given information:The given function is  

Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...

A: a. Integrate the given indefinite integral with respect to x as follows.

Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

Q: For  y= (x^4/4)-(x^3/3)-2   (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function  

Q: For the function y=x-1/3x^3 (a) Find the coordinates of the relative maxima, relative minima or hori...

A: (a) The function is given as

Q: Hi, I am trying to understand the factoring in the explicit solution of the attached integration pro...

A: Factor x5 as follows.

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: Kindly help

A: Refer to the question, we have to calculate the Taylor series for the provided function,

Q: Given the function s(t)= -16t2 + 128t, what is the average velocity at time interval [1,2]? Then mak...

A: The given function is,

Q: Maximize f(x, y, z) = 2x + 7y +9z on the sphere x + y+z = 67. Additional Materials eBook

A: f(x,y,z) = 2x + 7y + 9z and g(x,y,z) = x2 + y2 + z2 Approach:We will make use of the method of Lagra...

Q: find the exact length of the curve of the equation below, show all work y = ln(sec(x)), with a range...

A: First, we find the dy/dx

Q: For the function, do the following. n(x)6x2-9x 14 (a) Describe the end behavior verbally. Select Sel...

A: The function is n(x)= 6x2-9x+14

Q: Solve the absolute value inequality. Express the answer using interval notation. 5 − |2x + 9| ≤ 2  ...

A: We need to find the interval of x for which the following inequality holds good,

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing   f(x) = -2 ...

A: First, we find f'(x).

Q: domain of  a.radical(5-x) - radical(x2-9) b. radical(-x3+5x2+9x-45)

A: a). Given 

Q: find the domain of this function f(x)= 1/4+e^x

A: The given function is:

Q: 2ex/2 dx = 0 1 (e-1) 1 (e-1) e 1 2(e-) 4(e

A: Given:The integral is 

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of  the cylinder y=6x2 for 0 ≤ x ≤ 4​, 0 ≤ z ≤ 2​.Let's parameter...

Q: A company posted costs of 72 billion euros and a profit of 123 billion euros during the same quarter...

A: (a)Given information:Total cost is 72 billion euros.Profit is 123 billion euros.To find the company’...

Q: An epidemiologist finds that the percentage N(t) of susceptible children who were infected on day t ...

A: The percentage of susceptible children who were infected by measles outbreak on day t during the fir...

Q: factor 4t^2-3t-27

A: The general form of a quadratic equation is,

Q: Use the range given for theta to determine solutions to each equation Sin(theta) = (1/3), 0 < or ...

A: Since theta is varying from 0 to pi and sin(theta) = 1/3, given equation has exactly two solutions i...

Q: The question says: "Put each fractional expression into standard form by rationalizing the denominat...

A: In denominator you have one 2 under 4th root. To get rid of 4th root you need three more 2s. 

Q: For the given 2D flow fields: Find the divergence Sketch the velocity field a) v(x,y)=(vx(x,y), vy...

A: To find the divergence and sketch the velocity field of the following 2D flow fields.(a) v(x,y)=(vx(...

Q: The function f(x) =|x+20| - |x-20| is one to one on the domain -20<= x <=20. a. True b False c...

A: The given function can be rewritten as shown below:

Q: Activity 6 Related Rates of 96 fi/min . How fast is the 11. A spherical hot air balloon is inflated ...

A: Firstly, we find dr/dt by using the formula of volume of sphere .We differentiate V with respect to ...

Q: What are the correct steps for evaluating any one-sided infinite limit?

A: To find the limit of a function at infinity and correct steps for one sided limit of a function at i...

Q: How can I get the result? Which is the result?

A: we are given a graph and locate direction

Q: How do you set up the line integral for y=x(6-x) boundary?

A: The vector field is given by,

Q: Please answer the last question and show work. Thank you!

A: The following information are available in the question.

Q: 12.5.45 Write the partial fraction decomposition of the given rational expression. 5x+ 3 4 X -9x 2 5...

A: The given rational expression is,

Q: How do you find the roots of the equation f(x)=e-x-(x+4)/5 without a graph?

A: Note that intersection of line and exponential curve is a single point which is root of those two. T...

Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...

A: Given function is, 

Q: Which is the result?

A: We are given a function as 

Q: It's been close to 6 years since I took Calculus 1. Can someone explain in detail how to evaluate th...

A: We need to evaluate the definite integral,

Q: How do I show the correct solution for the differential equation? I know the answer is D.

A: First we separate the variables 

Q: Differentiate y = (s - sqrt(s) ) / s^2   I don't understand what happens on step 3 of the screenshot...

A: Here use quotient rule of differentiation which is,

Q: Simplify the radical expression: sqrt (9a3) + sqrt (a): I applied property #1, which separates the f...

A: To simplify the radical expression sqrt (9a3) + sqrt (a).

Q: For the following function f, find the antiderivative F that satisfies the given condition.   F(v) =

A: First, we find the general solution using integration. 

Q: How can I get the result? Which is the result?

A: To find the equation of the tangent line approximation T to the graph of f at the given point.The gi...

Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: For the following function f, find the antiderivative F that satisfies the given condition. 2 f(v)= ...

A: Given, 

Q: The table shows the number of people in North America who use email as a part of their jobs North Am...

A: Calculation:a)By using an online linear regression calculator, the linear model for the number of No...

Q: The question asks to, "evaluate the limit using an appropriate substitution."

A: Calculation: