Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integrals with the specified value of n. (Round your answers to six decimal places.) a) \int_{0}^{12}\sqrt{y}*cos(y)dy, n=8
i. the Trapezoidal Rule:
ii. the Midpoint Rule:
iii. Simpson's Rule:
b) \int_{0}^{4}ln(8+e^x)dx, n=8
i. the Trapezoidal Rule:
ii. the Midpoint Rule:
iii. Simpson's Rule:

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State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

Type the correct answer in each box, round your answers to the nearest integer 20 25 30 in the figure, the perimeter of hexagon abcdef is approximately w units, and its area is square units