Suppose that the supply of x units of a product at price p dollars per unit is given by the following. p = 20 + 70 In(6x + 2) (a) Find the rate of change of supply price with respect to the number of units supplied. dp dx (b) Find the rate of change of supply price when the number of units is 33. (c) Approximate the price increase associated with the number of units supplied changing from 33 to 34.

Q: Suppose the cost function of a product is given as C=3q -0.0014³. If the cost is increasing at a…

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Q: Suppose that a companys sales volume, y (in thousands of units) is related to its advertising…

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Q: 1. Use the Difference Quotient to find the instantaneous rate of change of 2. f(x) = -5x2 - x at x…

A: We have to find the instantaneous rate of change using difference quotient we have  f(x)=-5x2-xat…

Q: Suppose the supply of x units of a product at price p dollars per unit is given by p = 20 + 40…

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Q: Suppose that the profit (In dollars) from the sale of Kisses and Kreams is given by P(x, y) = 15x +…

A: Sale of Kisses Kreams is given by P(x, y)=15x+6.5y-0.004x2-0.015y2 where, x is the number of pounds…

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A: Given,          The monthly output at the Olek Carpet Mill is Qx=15,000+2x2 units , (40 ≤ x ≤ 60)…

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: (a) p=20+30 ln(4x+1)so,dpdx=0+304x+1ddx4x+1dpdx=304x+14dpdx=1204x+1

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

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Q: Suppose that a companys sales volume, y (in thousands of units) is related to its auvertising…

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

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Q: Suppose the total cost function, in dollars, for the production of x units of a product is given by…

A: To find instantaneous rate of change , take derivative with respect to x…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: Given that a company can produce 12,000 units when the number of hours of skilled labor y and…

Q: Assume that the rate of change of air pressure with altitude (distance above the earth) is…

A: Topic:- Differential equation

Q: If the demand for q units of a product priced at $p per unit is described by the equation. p= 400 /…

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Q: For the function y= 9x^2+8x+4,at the point x=4, find the following (A) the slope of the tangent to…

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Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs4. Find the rate of…

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

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) =…

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Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 V29 +…

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Q: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

A: Given,The constant rate of change of y with respect to x = -2.5.We know that,Slope = rate of change…

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A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

Q: 8. What is the rate of change of the slope of the tangent line to the curve y =x – 3x2 +1 when x =…

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Q: Suppose x and y are functions of third variable t. In the equation +y²=45, what are the values of…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units, (40 < x< 60) where x is the…

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Q: can be sold at a price of $p. for  x = cube root of 9,000 - p^4 (close cube root), find the rate of…

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

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Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: Given,          Suppose that the supply of x units of a product at price p dollars per unit is given…

Q: currently 49 workers, find the instantaneous rate of change of monthly output with respect to the…

A: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60)  , where x…

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

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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 instantaneous rate of change for each function at the given value: . ƒ(x) = x2 + 2x at x =…

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Q: Find the average rate of change and the equation of the secant line for 2x f (x) = from -1 to 3. x²…

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Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

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Q: Find the equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

Q: Suppose that f(x) = 5x² – 4. (A) Find the slope of the line tangent to f(x) at x = 5. (B Find the…

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Q: If f (x) = x + 3x2, find the average rate of change from, x- -2 to x = 2.

A: Consider the provided function, fx=x3+3x2 Find the average rate of change from x=-2 to x=2. Use the…

Q: What is the equation of the line that crosses the y-axis at 2 and h. a unit rate of ?

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

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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: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: 2. For a certain rectangle the length of one side is always three times the length of the other…

A: Let length of the rectangle be "x"       breadth of the rectangle be "y"     let "x" be the longer…

Q: If a ball is dropped from a height of 2304 feet, then its height in feet above the ground is given…

A: Given that, if a ball is dropped from a height of 2304 feet, then its height in feet above the…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A:

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: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Exponential Growth Model

The relation that represents an exponential function is: