The total profit (in dollars) from the sale of x calendars is P(x) = 22x - 0.08x2 - 400 Find the marginal profit of 40 calendars to approximate additional profit from the sale of the 41st calendar. (Round to the nearest 2 decimal places, if needed)

Q: The marginal cost of producing the xth box of light bulbs is 5 + x2 /1,000 dollars. Determine how…

A: We are given that, marginal cost of producing the xth box of light bulbs is 5+x21000 dollars.

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Find the…

A: To find the marginal revenue we find dr/dx

Q: Suppose the revenue (in dollars) from the sale of x units of a product is given byR(x) =36x2 + 45x2x…

A: we have to find marginal revenue where revenue function is given by

Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: In the least-squares line ŷ = 5 − 3x, what is the value of the slope? In the least-squares line ŷ =…

A: Determine the value of slope. Slope: The slope of a least squares regression line is interpreted as…

Q: A book publisher estimates that the marginal cost ofproducing a particular title (in dollars/book)…

A:

Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: The given function of production cost is To find average rate of change of total cost ,use formula

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…

A: Slope of the tangent is obtained by dy/dx

Q: Solve for the slope of the functions at the points specified using the limit definition of slope of…

A: Consider the function  f(x) = 12x2− 9x + 15 point (−2, 81).

Q: What is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4 ?

A: To find what is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4

Q: A company estimates that the daily cost (in dollars) of producing x chocolate bars is given by C(x)…

A: Given that  C(x) = 930 + 0.03x + 0.0004x2

Q: The Karachi city transit system carries 24800 bus riders per day for a fare of $1.85. The city…

A: Given: Karachi city transit system carries 24800 bus riders per day for a fare of $1.85. A survey…

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,         The total cost in dollars from the production of x printers is given by…

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.65 -…

A: Given,           A company estimates that the marginal cost in dollars per item of producing…

Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

A:

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A:

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 23, find…

A:

Q: What is the slope of the line tangent to the graph of g(x)=1/x at x=1?

A: Given that ,         g(x)=1x          find slope of tangent at x=1

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 49, find…

A:

Q: The marginal cost of producing the xth box of light bulbs is  6 + x2/1,000 dollars per box.…

A: Given: The marginal cost of producing the xth box of light bulbs is

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Suppose total cost in dollar from the production of x printers is given byC(x) =…

Q: slope m of the line tangent

A:

Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

A:

Q: Find the average rate of change of g(x) = 3x² – 2 between the points (-4,46) and (3,25) -

A:

Q: A company estimates that the marginal cost (in dollars per item) of producing a items is 1.92…

A:

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Find the average rate of change of h1x2 = x2 - 2x + 3:(a) From - 1 to 1(b) From 0 to 2(c) From 2 to…

A: Since it is known that the average rate of change can be calculated using the formula…

Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: The slope of the tangent line to the graph of the function y = 8Vx – 2 at (4, 14) is 2.00 3.50 -3.50…

A:

Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

A:

Q: Find average rate-2x^2+3x+5. X=-3 to x =9

A:

Q: The marginal cost of producing the xth box of light bulbs is 7 + x2 dollars per box. Determine how…

A:

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.84 −…

A: Marginal cost is the derivative of total cost.  Therefore total cost C(x) can be obtained by…

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

A:

Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

A:

Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 4x − 5x2…

A:

Q: At a certain factory, the marginal cost is 3(q - 4)2 dollars per unit when the level of production…

A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of…

Q: The marginal cost of producing the xth box of light bulbs is  5 + x2/1,000  dollars per box.…

A:

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: aximum profit is d to nearest integer.)

A: Given R(q)=90q-0.5q2 and C(q)=13q+600

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 0.006x. If…

A:

Q: find the slope of the line tangent tothe graph of ƒ(x) = 5 at P(1, 5).

A: We know the slope of the tangent line to the curve y = f(x) is dy/dx.

Q: A company estimates that the marginal cost (in dollars per item) of producing : items is 1.92 –…

A:

Q: Suppose to tal cost indollars from the production of X printers is given by C/X=.000xt o005x²+28X+…

A: