The volume V of a right circular cylinder is given by the formula V = 1/3ar²h where r is the radius and h is the height. a. Find a formula for the instantaneous rate of change of V with respect to h if h changes and r remains constant. b. Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remains constant. c. Suppose thath has a constant value of 4 inch, but r varies. Find the rate of change of V with respect to r at the point where r is 6 inch d. Suppose that r has a constant value of 8 inch, but h varies. Find the instantaneous rate of change of V with respect to h at the point where h = 10 inch.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.