A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the rate of change of its radius when the radius 15 in? (b). What is the rate of change of its diameter when the radius is 15 in?

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A: use angular speed formula for finding one .

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A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2 cha...

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A: f(x)=9x3+57x2+66x+30Take f(x)=0⇒9x3+57x2+66x+30=0find the values of x to get the zeros of the functi...

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Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

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A: Solution is given below:

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A: ----------------------------------------------------------------------------- fx = exsinx-1f'x= exsi...

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A: Number

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A: We have to find the number of values of r which satisfies the equation.

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Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

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Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your a...

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Q: Find the solution of the given initial value problem. cos t y%3D t 1 y' y(T) = 0, t >0 - t-1 y(t)

A: The given equation is; y'-y/t =cost/t-1; y(π)=0.

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A: Given:        Absolute convergence:          A series ∑an converges absolutely if ∑an converges.    ...

Q: 1. Find the following limit, if it exists. lim (z.1)-(0.0) V2 + y? +1-1

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Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C f...

A: Here we have to evaluate I=∫dxx-10x-15  

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A: Follow next step

Q: Solve the given differential equation. All solutions should be found. dy 3a? - 8y -y 8x+3ry dx NOTE:...

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