• Use a midpoint Riemann sum approximation with 4 rectangles to approximate the area under the graph of $f(x) = \frac{7}{x}$ from $a = 3$ to $b = 7$.
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Consider the function f(x) = 8x + 7 over [0, 2] a) Approximate the area under the curve on the given interval using left Riemann Sums with n=4 rectangles. [6 points] b) Calculate the exact area under the curve on the given interval either using appropriate geometric formulas or an appropriate definite integral. [6 points]
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Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. f(x) = e^x + 7 from x = -2 to x = 2 (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. The area, approximated using the left endpoints, is (Round to two decimal places as needed.)
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