A hot-air balloon is launched from an elevation of 5400 ft
Chapter 7, Problem 33(choose chapter or problem)
A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, its vertical velocity is computed using a device (called a variometer) that measures the change in atmospheric pressure. The vertical velocities at selected times are shown in the table (with units of ft/min). a. Use the Trapezoid Rule to estimate the elevation of the balloon after five minutes. Remember that the balloon starts at an elevation of 5400 ft. b. Use a right Riemann sum to estimate the elevation of the balloon after five minutes. c. A polynomial that fits the data reasonably well is g1t2 = 3.49t3 - 43.21t2 + 142.43t - 1.75. Estimate the elevation of the balloon after five minutes using this polynomial.
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