Use the indicated methods to solve the following problems with nonuniform grids. A hot-air balloon is launched
Question:
Use the indicated methods to solve the following problems with nonuniform grids.
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
g(t) = 3.49t3 - 43.21t2 + 142.43t - 1.75.
Estimate the elevation of the balloon after five minutes using this polynomial.
Step by Step Answer:
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett