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F. [7 pts] A standard graphing calculator cannot evaluate integrals with unspecified parameters like r and h. However, such a calculator can be used to
F. [7 pts] A standard graphing calculator cannot evaluate integrals with unspecified parameters like r and h. However, such a calculator can be used to check your work. One method is as follows. Suppose that we measure that a = 3 and b = 6, where a and b are the measurements defined on the previous page. Do the following. i. Calculate r and h when a = 3 and b = 6 and write them in the space below. h =_ ii. Technology can be used to evaluate / 8xhyr2 - y2 dy for the values for r and h you found. Plug in these values, then fill in the sentence below. The integral that I am evaluating is To evaluate this integral, I used and found that to 3 decimal places, the volume of the donut is iii. Substitute the values for r and h into your answer for Part D and write down this expression. Then, use technology to evaluate it to 3 decimal places. Note that if you simply write down the result from ii. and it is not consistent with your response to Part B, you will receive 0 points for Part C. iv. Are your answers to Parts ii. and iii. consistent? Explain they they should or should not be
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