The volume of the sphere is increasing at the rate of 6 cubic centimeters per hour. At what rate is its surface area increasing (in square centimeters per hour) when the radius is 47 centimeters?

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A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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A: log65x-5=4

Q: 2. L{t7}

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A: given  u has initial point (8,6) and terminal point is (-6,12)vector u=terminal point -initial point…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: A detailed solution is given below.

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Q: Differential Calculus Differentiate the following: • y = x5 - ex In(x) • y = 6ex - 7x ● • y = 2ex -…

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Q: z = 8x² + 8y² + 18 nearest the plane 8y - 3x - 7z = 0.

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Q: Solve the following equations. I. Separating the variables 1 x(y - 3) dx dy PERSONAL TUTOR = 4y =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: C. Evaluate the following inverse Laplace transforms. 2. L-1 0-¹ ((+3)+-3-²-23) { 6

A: Given L-1{ 6( s + 3 )4 - ( 2s - 1 )s2 - 2s } Formula used L-1{ 1sn } = tn-1( n-1 )!

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A: Given system of equation 2x - 4y - 3z = -2 y = x3 - 3 -2x + 2y -4z = 2