Average Cost The average cost (in dollars) to manufacture x hundred small toys is A(x) = 0.025.x – 0.15x? + 5x + 45. Use the differential to approximate the changes in the average cost for the following changes in x. (a) 5 to 6 (b) 10 to 11

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A: The Heat Loss H from a person's body is given by the function: H=3310v-v+10.45

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A: Given, Radius of shell, r=100 cm Thickness of shell, dr=0.1 cm To find: Volume of shell

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A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +…

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A: Given, R=48x-1.5x2                     X=15

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A: Given C=0.025x2+7x+2

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A: S=0.02235h0.42246w0.51456, Where h is height in cm, w is weight in kg.

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or…

A: Approximation using derivative

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Q: fiind the first and second derivative of square root 2t

A: We find the derivative by applying the formula of derivation.

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Q: Find the differential of the function. y = sqrt(2-t^6)

A: Find the differential of the function. y = sqrt(2-t^6)

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A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

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A: Given that: The dependent variable changes from 10 cm 10.05 cm So, dr=10.05-10=0.05  cm

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

A: Rx=45x-0.5x2, Cx=6x+10, when x=30 and dxdt=15 units per day

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A: We use linear approximation method

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Q: Function x-Value C = 0.025x2 + 2x + 9 X = 10 dC = dollars AC = dollars

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

A: Answers of this given question is  a) rate of change of total revenue will be (dRdt) = 200$/day…

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Q: he demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x is…

A: The demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x…

Q: The revenue R (in dollars) for a company selling x units is R = 700x - 0.1x2. dR (a) Find the…

A: Use differential

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Q: The revenue R (in dollars) for a company selling x units is R = 700x − 0.1x2. (a) Find the marginal…

A: a) R = 700x - 0.1x2 dRdx= 700 - o.1× 2x  dRdx  = 700 - 0.2x