For a certain animal, the surface area S of the body is related to the body's weight W according to  S=kW2/3 where k is a constant. Find the rate of change of the body's surface area in terms of the rate of change of the body's weight.

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Q: amount

A: Please refer to the image below

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A: We will use derivative as rate of change

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A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: How do you solve?

A: Given, Side of square= x x(t)= 3t+1 Therefore, Area= (3t+1)*(3t+1) A(t)= 9t²+6t+1

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A:

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Q: What is the rate of change of y with respect to x for this function?

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A: →Rate of change of function f(x) is given by df(x)dx→Average rate of change of f(x) in the interval…

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A: We will find the rate of change in surface area as following .

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A: Formula:  Area=length times height A(t)=t(6t+5)

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Q: 1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the…

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Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

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A: we have to find average rate of change of f(x) between [2+h,2] using formula mentioned above

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A: As per guideline we have to solve one question Please repost other question again

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A: Answer is mentioned below

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A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of…

Q: For the function y = x2 , compute the average rate of change between x = 0 and x = 3.

A: Given : The function is y = x2 and x = 0 and x = 3 .

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A: First I have written about rate of decrease in radius and then written the formula of Surface Area…

Q: A spherical balloon is deflated at a rate of 10 cm3 s-1. Find the rate change of the surface area…

A: given: A spherical balloon is deflated at a rate of 10 cm3s-1. we have to find the rate change of…

Q: In some chemical reactions,the rate at which the amount of a substance changes with time…

A:

Q: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

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A: 625 gal. water drains from the pool.

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A:

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A: the volume of the sphere is given by ..............(1)

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Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…

A: Given  R(x) = 0.25(1 + x)4

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A: Given : V= 32π/3 cm3              dV/dt = 8 cm3 /sec

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A: Given

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A:

Q: Given the function f(x) = x which of the following is a valid formula for the instantaneous rate of…

A: The given function fx=x23 The instantaneous rate of change is given by limh→0fa+h-fah

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A: Write the equation of the surface area of sphere solve it as per given in step 2