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43. A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, the 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). 1 1.5 3.5 4 t(min) 100 120 150 110 90 80 Velocity (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.

43. A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, the 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). 1 1.5 3.5 4 t(min) 100 120 150 110 90 80 Velocity (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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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43. A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, the 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). 1 1.5 3.5 4 t(min) 100 120 150 110 90 80 Velocity (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 – 43.21t? + 142.43t – 1.75. Estimate the elevation of the balloon after five minutes using this polynomial.
Transcribed Image Text:43. A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, the 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). 1 1.5 3.5 4 t(min) 100 120 150 110 90 80 Velocity (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 – 43.21t? + 142.43t – 1.75. Estimate the elevation of the balloon after five minutes using this polynomial.
41-44. Nonuniform grids Use the indicated methods to solve the following problems with nonuniform grids. 41 A surling iron is plugged into an outlet at time t = 0. Its temperature T in degrees Fahrenhe
Transcribed Image Text:41-44. Nonuniform grids Use the indicated methods to solve the following problems with nonuniform grids. 41 A surling iron is plugged into an outlet at time t = 0. Its temperature T in degrees Fahrenhe
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