3. Given that f(x) = 3x +3 and g(x) = 2x -6. Determine g[f(x)] %3!

Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and…

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

A:

Q: Find the critical points of the given function. 1 a) f(x) = -√24/3+2¹/ +2-2/3

A: Since multiple questions are asked, I am answering first question

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F…

A: To find the foraging time

Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

A:

Q: Find the critical points of the following function. f(x) = 5x2 + 3x - 1

A: Do the first derivative and then set it to zero gives us the desired value.

Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: Consider the following. = -0.1s3 + 6s² + 400 Find the amount s of advertising (in thousands of…

A: The point of diminishing returns refers to the inflection point of a return function or the maximum…

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: If the total revenue function for a blender is R(x) = 28x − 0.01x2 where x is the number of units…

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Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

A:

Q: For a short run production function q=10lnL if L=5 and the wage rate is $3 the extra cost of to…

A: Answer:----.               Date:----3/10/2021

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: Suppose that the demand x (in units) for a product is x = 5,000 – 50p, where p dollars is the market…

A: Given expenditure is: E=5000p-50p2

Q: Show that f(x) = ln xn /x is a decreasing function for x &gt; e and n &gt; 0.

A: Given function is, But, Hence,

Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

A:

Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

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Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Mark the critical points on the following graph. x^5 e^−x^2/4 , 5

A: Critical Points: those points on a graph at which a line drawn tangent to the curve is horizontal or…

Q: A firm’s short-run production function is given by Q = 30L2− 0.5L3 Find the value of L which…

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. Given the profit function P(x) = 500x –- where 100 x is number of units sold. Find x to get…

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Q: The following are the prices of shares of XYZ Co. Ltd. from Monday Price Day Thursday Price 200 160…

A:

Q: The critical value of the given function is = 3x2 + 18x + 2

A: The critical value of the function y = f(x)  is the value of x for which f'(x) = 0 or f'(x) is not…

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: 3 In a community in which R elderly people and people with comorbidities are susceptible to a…

A:

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: Suppose that the demand x (in units) for a product is x = 16,500 – 150p, where p dollars is the…

A: It will be max where dE/dp will be 0.

Q: Calculate G' (-2) to 3 significant figures where G(x) = (4x – 2)1º (-4x² + 3x + 4)12

A:

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

A:

Q: Suppose that the demand x (in units) for a product is x = 7,500 − 150p, where p dollars is the…

A: Given demand function x (in units) for a product  x=7500-150p where p dollars is the market price…

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: Determine the value of k so that the rate of change of the function f (x) = 4x² + kx – 7 is 7 when…

A: Answer

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

A: