Imagine slicing through a sphere with a plane (sheet of paper). the smaller piece produced is called a spherical cap. its volume is v= πh2(3r−h) /3, where r is the radius of the sphere and h is the thickness of the cap. find dr/dh for a spherical cap with a volume of 5π/ 3 m3. evaluate this derivative when r=2 m and h=1 m. what is the expression for dr /dh? and evaluate this derivative when r= 2m and h = 1m.

Answers; a) 135 degree’s b) 30 degree’s c) 180 or 0 degree’s d) 90 degree’s

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Use a calculator to verify that σ(x) = 62, σ(x2) = 1034, σ(y) = 644, σ(y2) = 93,438, and σ(x y) = 9,622. compute r. (enter a number. round your answer to three decimal places.) as x increases from 3 to 22 months, does the value of r imply that y should tend to increase or decrease? explain your answer. given our value of r, y should tend to increase as x increases. given our value of r, we can not draw any conclusions for the behavior of y as x increases. given our value of r, y should tend to remain constant as x increases. given our value of r, y should tend to decrease as x increases.