152mt1review-w20-1.pdf - Math 15200: Exam 1 Review Exam 1...

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Math 15200: Exam 1 ReviewExam 1 will be given in class onFriday, 1/31.It will cover all of chapter 5 (sections5.1-5.9) as well as section 6.1 in our textbook.1.Riemann Sums1. Use a Riemann sum with six rectangles (all of equal width) to estimate the value ofZ30sin(x3)dxusing(a) right endpoints(b) midpoints2. Consider the partitionP={-3,-1,1,2,3}of the interval [-3,3] and letf(x) = 4-x2.Calculate the upper sumUf(P) and the lower sumLf(P).3. Suppose thatZbaf(x)dx= 3 and thatZba2g(x)dx=-4. Leth(x) =f(x) +g(x). Is itpossible for an upper sumUh(P) to be negative?4. During a test, the driver of a car traveling at a speed of 70 ft/sec starts breaking until thecar stops. The velocity of the car is recorded in the table below:t(sec)012345v(ft/sec)7045301690Approximately how far did the car travel during the test?Use the velocities at the leftendpoints. Is this an underestimate or an overestimate of the actual distance traveled?

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Term
Fall
Professor
townsend
Tags
Riemann sum, 2 g, Riemann, 70 ft

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