A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform thickness. If the ice melts at the uniform rate of 10cm3/min. how fast is the thickness decreasing at the instant when it is 2cm thick? Show detailed solution. (Draw the illustration of the given problem)

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A: Please see the below picture for detailed solution.

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A: Given limx→∞ 9x4+x2x4+5x2-x+6

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A: See this solution in below

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A: We can solve this as follows:

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A: B only Integrals by Substitutions

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Q: Sketch the space curve. Function r(t) = (5 sin t, 3t, 5 cos t) 1.0 0.5 0.0 0.0 -0.5 -1.0 -5 N 0.5…

A: Please see the below picture for detailed solution.

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A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

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Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j - k, find: (iii)A. (B+C)and (A + B).C (iv)…

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Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Solution is given below:

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A: topic- equation of tangent line to curve

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A: See this solution in below

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A: we know that u.v =uvcosθfor unit vector u=v=1given θ=π4

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A: We have to find out derivative

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A: To evaluate the integral.

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Q: Consider lim (x,y) → (0, 0) xy 20 X (see figure). 20 20 (a) Determine (if possible) the limit along…

A: Here to determine, lim(x,y)→(0,0)x2+y2xy