Concept explainers
Nonuniform grids Use the indicated methods to solve the following problems with nonuniform grids.
33. 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 limes 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
Estimate the elevation of the balloon after five minutes using this polynomial.
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Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
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