A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4ar2 ) with respect to the radius r when r = 15: when r = 9:

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A: Solution written in details below

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A: Note: Since you have posted multiple sub parts. As per our policy we are allowed to solve the first…

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Q: Find the total differential, given: (b) \theta = arctan (y/x)

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Q: Question 9

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Q: Find the value of df dt for the following function : F (x, y) = xy? X= cost, y= sin t.

A: Given:- F(x, y) =xy2  x=cost, y=sint To find:- dF/dt

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Q: a/ tangent s lope rasinczo) ) when e zT 9. 父 A dy do 2 517 dる 2. fhe D not of tne above

A: Given,  r=sin (2θ) Recall:  Slope, m=dydx

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A: First obtain the derivative of the given equation as follows.

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A: Write the function of velocity in the form of variable time

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

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Q: th² (t) В V = 2

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Q: dy Given that y = find . dz'

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Q: dy Find for the following function dv y = In cosh v – tanh? v

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Q: Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given…

A: Consider the given equation

Q: Find the rate of change of volume at the t= 2 sec If ri=2t-1 hisim hi=3ť-t r2= 3t+1 h2=2m h2=4t-1…

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A: First we have to find the divergence of the given function.

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

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Q: ft (in -) is given by v =t - 2t + 5, where t is the time

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Q: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

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Q: The velocity v of a falling parachutist is given by v- gm/c (1 - o^-(c/m)t) where g- 9.8 m/s^2. For…

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Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

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