The marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation. - 314 C'(x) =x Find the cost of printing 123 more posters when 17 have already been printed. The cost of printing 123 more posters when 17 have already been printed is $ (Round to the nearest cent as needed.)

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

A:

Q: The cost of producing 5-galln water bottles is given by c(q)=0.005q2 +2q+1000 If 2000 5-gallon water…

A:

Q: For the function fo-4+53+ 445, find the slope of the tangent ine at N 2

A: The function is given by f(x) = 4x3+53x+445 To evaluate: The slope of the tangent line to the graph…

Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

Q: (a) What is the marginal cost when r = 25 and r = 70? S %3D

A:

Q: 2x +1 Find the slope of the line tangent to the graph of y = 5x at x = 1. 4

A:

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

A:

Q: Consider a company that has fixed costs of $8,300 and a marginal cost of $28 per item. What is the…

A: A company that has a fixed costs of $8,300 and a marginal cost of $28 per item.

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

A:

Q: What is the slope of the tangent line to f (x) = 2" +1 at x = 2? O a) 1.5 O b) 3.2 c) 5.1 d) 2.8

A: Solution

Q: The demand Q for butter is related to the price P by the equation Q. P1/2 = 38. Find dQ/dP by…

A: Given: The given equation is: Q·P12=38

Q: Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x)…

A:

Q: For what value(s) of x does the graph of f(x) = 6x³ + 9x² – 216x %3D e a horizontal tangent?

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

Q: Suppose a manufacturer expects her monthly revenue (in dollars) for a video game to be…

A: The marginal revenue is given by the derivative of the revenue function.

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Ex2.) Find the equation of the line tangent - 4x* +11x to f(x) = and parallel to the line y +4x =…

A:

Q: osts per week for producing z night vision goggles is given by C (x) = 50 %3D roducing the 301st…

A: We have to choose the correct answer from the given options according to the given information

Q: The marginal profit obtained by selling x dollars of automobile insurance can be modelled by dP…

A: We will use the method of integration to calculate the change in profit.

Q: 20. What is the instantaneous slope of y at x = 2? %3D -1 1 112

A:

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: If total revenue is R=50Q – 2Q2. At what value of Q will marginal revenue be 18?

A: Given revenue = 50Q - 2Q2 We have to find the value of Q if revenue is 18

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: We will find f'(x) using the product rule and the chain rule.

Q: 40. For what value(s) of x does fAx) = (x - 4x – 5) have a horizontal tangent?

A: 40.) f(x) = (x² - 4x - 5)³  So, f'(x) = 3•(x² - 4x - 5)²•(2x - 4) So, f'(x) = 6•(x² - 4x - 5)²•(x -…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

A:

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

A:

Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

A:

Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

A:

Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: The marginal revenue of a company is given by R'(x) = 100 + 20x + 3x2, %3D where x is amount of…

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: For the curve y = 5x – 2x3, if x .6 increases at the rate of 2 units/s, then find the rate of change…

A: We are given the curve: y=5x-2x3 Slope (m)=dydx=5-6x2 Rate of change of slope  = dmdt=0-12xdxdt Now…

Q: z is jointly proportional to the square of x and the square of y. If z=364 when x=6 and y=5, find z…

A:

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: The marginal revenue of the xth box of flash cards sold is 300e-0.005x dollars per box. Find the…

A: The marginal revenue of the xth box of flashcards sold is 300e-0.005x dollars per box

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: The cost of producing 5-gallon water bottles is given byC(q) = 0.005q2 + 2q + 1000.If 2000 5-gallon…

A: Average marginal cost is the ratio of marginal cost and q

Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

A: We know that slope (m) of the tangent to the curve y=f(x) is :  m=dydx We have y=3x5+2x3+13x2+5

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

A:

Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: The marginal revenue of the xth box of flash cards sold is 300e-0.005x dollars per box. Find the…

A:

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300…

A: Answer: The solution is as given below:

Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: nd an equation of the tangent to the curve f(x) = /x+ 8 that has slope %D 4 А. 1 y = X. В. 1 y 7x+3…

A:

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

A: