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Math Calculus Calculus, Single Variable: Early Transcendentals (3rd Edition)

Free fall Use geometry and the figure given in Exercise 35 to estimate how far Felix fell in the first 20 seconds of his free fall. Free fall On October 14, 2012, Felix Baumgartner stepped off a balloor capsule at an attitude of a most 39 km above Earth’s surface and began his free fall. His velocity in m/s during the fall is given in the figure. It is claimed that Felix reached the speed of sound 34 seconds into his fall and that he continued to fall at supersonic speed for 30 seconds. ( Source: http://www.redbullstratos.com) a. Divide the interval [34, 64] into n – 5 subintervals with the gridpoints x 0 – 34, x 1 – 40, x 2 – 46, x 3 – 52, x 4 – 58, and x 3 = 64. Use left and right Riemann sums to estimate how far Felix fall while travelling at supersonic speed. b. It is claimed that the actual distance that Felix fell at supersonic speed was approximately 10.495 m. Which estimate in part (a) produced the more accurate estimate? c. How could you obtain more accurate estimates of the total distance fallen than those found in part(a)?

Free fall Use geometry and the figure given in Exercise 35 to estimate how far Felix fell in the first 20 seconds of his free fall. Free fall On October 14, 2012, Felix Baumgartner stepped off a balloor capsule at an attitude of a most 39 km above Earth’s surface and began his free fall. His velocity in m/s during the fall is given in the figure. It is claimed that Felix reached the speed of sound 34 seconds into his fall and that he continued to fall at supersonic speed for 30 seconds. ( Source: http://www.redbullstratos.com) a. Divide the interval [34, 64] into n – 5 subintervals with the gridpoints x 0 – 34, x 1 – 40, x 2 – 46, x 3 – 52, x 4 – 58, and x 3 = 64. Use left and right Riemann sums to estimate how far Felix fall while travelling at supersonic speed. b. It is claimed that the actual distance that Felix fell at supersonic speed was approximately 10.495 m. Which estimate in part (a) produced the more accurate estimate? c. How could you obtain more accurate estimates of the total distance fallen than those found in part(a)?

Solution Summary: The author calculates the distance at which Felix fell while travelling at supersonic speed in the first 20 seconds of his free fall using geometry in Exercise 35.

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Calculus, Single Variable: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134766850

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 5.1, Problem 36E

Free fall Use geometry and the figure given in Exercise 35 to estimate how far Felix fell in the first 20 seconds of his free fall.

Free fall On October 14, 2012, Felix Baumgartner stepped off a balloor capsule at an attitude of a most 39 km above Earth’s surface and began his free fall. His velocity in m/s during the fall is given in the figure. It is claimed that Felix reached the speed of sound 34 seconds into his fall and that he continued to fall at supersonic speed for 30 seconds. (Source: http://www.redbullstratos.com)

a. Divide the interval [34, 64] into n – 5 subintervals with the gridpoints x₀ – 34, x₁ – 40, x₂ – 46, x₃ – 52, x₄ – 58, and x₃ = 64. Use left and right Riemann sums to estimate how far Felix fall while travelling at supersonic speed.

b. It is claimed that the actual distance that Felix fell at supersonic speed was approximately 10.495 m. Which estimate in part (a) produced the more accurate estimate?

c. How could you obtain more accurate estimates of the total distance fallen than those found in part(a)?

Chapter 5.1, Problem 36E, Free fall Use geometry and the figure given in Exercise 35 to estimate how far Felix fell in the

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Chapter 5.1, Problem 35E

Chapter 5.1, Problem 37E

Chapter 5 Solutions

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Ch. 5.1 - What is the displacement of an object that travels...Ch. 5.1 - Prob. 2QC Ch. 5.1 - If the interval [1, 9] is partitioned into 4...Ch. 5.1 - Prob. 4QC Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - The velocity in ft/s of an object moving along a...Ch. 5.1 - Prob. 6E

Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Approximating displacement The velocity in ft/s of...Ch. 5.1 - Approximating displacement The velocity in ft/s of...Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Approximating displacement The velocity of an...Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Free fall On October 14, 2012, Felix Baumgartner...Ch. 5.1 - Free fall Use geometry and the figure given in...Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Sigma notation Express the following sums using...Ch. 5.1 - Prob. 48E Ch. 5.1 - Sigma notation Evaluate the following expressions....Ch. 5.1 - Evaluating sums Evaluate the following expressions...Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Explain why or why not Determine whether the...Ch. 5.1 - Prob. 60E Ch. 5.1 - Prob. 61E Ch. 5.1 - Prob. 62E Ch. 5.1 - Prob. 63E Ch. 5.1 - Prob. 64E Ch. 5.1 - Identifying Riemann sums Fill in the blanks with...Ch. 5.1 - Prob. 66E Ch. 5.1 - Prob. 67E Ch. 5.1 - Prob. 68E Ch. 5.1 - Approximating areas Estimate the area of the...Ch. 5.1 - Prob. 70E Ch. 5.1 - Displacement from a velocity graph Consider the...Ch. 5.1 - Flow rates Suppose a gauge at the outflow of a...Ch. 5.1 - Prob. 73E Ch. 5.1 - Displacement from velocity The following functions...Ch. 5.1 - Prob. 75E Ch. 5.1 - Prob. 76E Ch. 5.1 - Prob. 77E Ch. 5.1 - Prob. 78E Ch. 5.1 - Prob. 79E Ch. 5.1 - Prob. 80E Ch. 5.1 - Prob. 81E Ch. 5.2 - Suppose f(x) = 5. What is the net area of the...Ch. 5.2 - Sketch a continuous function f that is positive...Ch. 5.2 - Prob. 3QC Ch. 5.2 - Let f(x) = 5 and use geometry to evaluate...Ch. 5.2 - Prob. 5QC Ch. 5.2 - Prob. 6QC Ch. 5.2 - What does net area measure?Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Use the graph of y = g(x) to estimate 210g(x)dx...Ch. 5.2 - Suppose f is continuous on [2, 8]. Use the table...Ch. 5.2 - Suppose g is continuous on [1, 9]. Use the table...Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Suppose 13f(x)dx=10 and 13g(x)dx=20. Evaluate...Ch. 5.2 - Use graphs to evaluate 02sinxdx and 02cosxdx.Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Use geometry to find a formula for 0axdx, in terms...Ch. 5.2 - If f is continuous on [a, b] and abf(x)dx=0, what...Ch. 5.2 - Prob. 17E Ch. 5.2 - Approximating net area The following functions are...Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Approximating net area The following functions are...Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Approximating definite integrals Complete the...Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Identifying definite integrals as limits of sums...Ch. 5.2 - Prob. 38E Ch. 5.2 - Prob. 39E Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Net area and definite integrals Use geometry (not...Ch. 5.2 - Prob. 44E Ch. 5.2 - Net area and definite integrals Use geometry (not...Ch. 5.2 - Prob. 46E Ch. 5.2 - Net area from graphs The accompanying figure shows...Ch. 5.2 - Prob. 48E Ch. 5.2 - Net area from graphs The accompanying figure shows...Ch. 5.2 - Prob. 50E Ch. 5.2 - Properties of integrals Use only the fact that...Ch. 5.2 - Prob. 52E Ch. 5.2 - Properties of integrals Suppose 03f(x)dx=2,...Ch. 5.2 - Prob. 54E Ch. 5.2 - More properties of integrals Consider two...Ch. 5.2 - Prob. 56E Ch. 5.2 - Using properties of integrals Use the value of the...Ch. 5.2 - Prob. 58E Ch. 5.2 - Net area from graphs The figure shows the areas of...Ch. 5.2 - Prob. 60E Ch. 5.2 - Net area from graphs The figure shows the areas of...Ch. 5.2 - Prob. 62E Ch. 5.2 - Definite integrals from graphs The figure shows...Ch. 5.2 - Definite integrals from graphs The figure shows...Ch. 5.2 - Prob. 65E Ch. 5.2 - Definite integrals from graphs The figure shows...Ch. 5.2 - Use geometry and properties of integrals to...Ch. 5.2 - Use geometry and properties of integrals to...Ch. 5.2 - Explain why or why not Determine whether the...Ch. 5.2 - Approximating definite integrals with a calculator...Ch. 5.2 - Prob. 71E Ch. 5.2 - Approximating definite integrals with a calculator...Ch. 5.2 - Prob. 73E Ch. 5.2 - Prob. 74E Ch. 5.2 - Midpoint Riemann sums with a calculator Consider...Ch. 5.2 - Prob. 76E Ch. 5.2 - Prob. 77E Ch. 5.2 - Prob. 78E Ch. 5.2 - Limits of sums Use the definition of the definite...Ch. 5.2 - Prob. 80E Ch. 5.2 - Limits of sums Use the definition of the definite...Ch. 5.2 - Prob. 82E Ch. 5.2 - Limits of sums Use the definition of the definite...Ch. 5.2 - Prob. 84E Ch. 5.2 - Limits of sums Use the definition of the definite...Ch. 5.2 - Prob. 86E Ch. 5.2 - Prob. 87E Ch. 5.2 - Prob. 88E Ch. 5.2 - Prob. 89E Ch. 5.2 - Prob. 90E Ch. 5.2 - Prob. 91E Ch. 5.2 - Prob. 92E Ch. 5.2 - Prob. 93E Ch. 5.2 - Prob. 94E Ch. 5.2 - Prob. 95E Ch. 5.2 - Prob. 96E Ch. 5.2 - Prob. 97E Ch. 5.2 - Prob. 98E Ch. 5.3 - In Example 1, let B(x) be the area function for f...Ch. 5.3 - Verify that the area function in Example 2c gives...Ch. 5.3 - Prob. 3QC Ch. 5.3 - Prob. 4QC Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Let f(x) = c, where c is a positive constant....Ch. 5.3 - The linear function f(x) = 3 x is decreasing on...Ch. 5.3 - Prob. 6E Ch. 5.3 - Explain in words and express mathematically the...Ch. 5.3 - Why can the constant of integration be omitted...Ch. 5.3 - Evaluate ddxaxf(t)dt and ddxabf(t)dt, where a and...Ch. 5.3 - Explain why abf(x)dx=f(b)f(a).Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Area functions The graph of f is shown in the...Ch. 5.3 - Prob. 14E Ch. 5.3 - Area functions for constant functions Consider the...Ch. 5.3 - Prob. 16E Ch. 5.3 - Area functions for the same linear function Let...Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 24E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 26E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 30E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 32E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 34E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 36E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 40E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 42E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 44E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 46E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 48E Ch. 5.3 - Prob. 49E Ch. 5.3 - Prob. 50E Ch. 5.3 - Definite integrals Evaluate the following definite...Ch. 5.3 - Prob. 52E Ch. 5.3 - Prob. 53E Ch. 5.3 - Prob. 54E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 56E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Definite integrals Evaluate the following definite...Ch. 5.3 - Prob. 60E Ch. 5.3 - Definite integrals Evaluate the following...Ch. 5.3 - Prob. 62E Ch. 5.3 - Prob. 63E Ch. 5.3 - Prob. 64E Ch. 5.3 - Prob. 65E Ch. 5.3 - Prob. 66E Ch. 5.3 - Prob. 67E Ch. 5.3 - Prob. 68E Ch. 5.3 - Prob. 69E Ch. 5.3 - Prob. 70E Ch. 5.3 - Areas of regions Find the area of the region...Ch. 5.3 - Prob. 72E Ch. 5.3 - Prob. 73E Ch. 5.3 - Prob. 74E Ch. 5.3 - Derivatives of integrals Simplify the following...Ch. 5.3 - Prob. 76E Ch. 5.3 - Derivatives of integrals Simplify the following...Ch. 5.3 - Prob. 78E Ch. 5.3 - Derivatives and integrals Simplify the given...Ch. 5.3 - Prob. 80E Ch. 5.3 - Derivatives of integrals Simplify the following...Ch. 5.3 - Prob. 82E Ch. 5.3 - Derivatives and integrals Simplify the given...Ch. 5.3 - Prob. 84E Ch. 5.3 - Prob. 85E Ch. 5.3 - Prob. 86E Ch. 5.3 - Matching functions with area functions Match the...Ch. 5.3 - Prob. 88E Ch. 5.3 - Prob. 89E Ch. 5.3 - Prob. 90E Ch. 5.3 - Prob. 91E Ch. 5.3 - Prob. 92E Ch. 5.3 - Prob. 93E Ch. 5.3 - Prob. 94E Ch. 5.3 - Prob. 95E Ch. 5.3 - Prob. 96E Ch. 5.3 - Prob. 97E Ch. 5.3 - Prob. 98E Ch. 5.3 - Prob. 99E Ch. 5.3 - Prob. 100E Ch. 5.3 - Prob. 101E Ch. 5.3 - Prob. 102E Ch. 5.3 - Prob. 103E Ch. 5.3 - Prob. 104E Ch. 5.3 - Prob. 105E Ch. 5.3 - Prob. 106E Ch. 5.3 - Prob. 107E Ch. 5.3 - Prob. 108E Ch. 5.3 - Prob. 109E Ch. 5.3 - Prob. 110E Ch. 5.3 - Prob. 111E Ch. 5.3 - Cubic zero net area Consider the graph of the...Ch. 5.3 - Prob. 113E Ch. 5.3 - Prob. 114E Ch. 5.3 - Prob. 115E Ch. 5.3 - Prob. 116E Ch. 5.3 - Fresnel integral Show that the Fresnel integral...Ch. 5.3 - Prob. 118E Ch. 5.3 - Prob. 119E Ch. 5.4 - If f and g are both even functions, is the product...Ch. 5.4 - Prob. 2QC Ch. 5.4 - Prob. 3QC Ch. 5.4 - Prob. 1E Ch. 5.4 - Prob. 2E Ch. 5.4 - Prob. 3E Ch. 5.4 - Prob. 4E Ch. 5.4 - Prob. 5E Ch. 5.4 - Prob. 6E Ch. 5.4 - Is x12 an even or odd function? Is sin x2 an even...Ch. 5.4 - Prob. 8E Ch. 5.4 - Prob. 9E Ch. 5.4 - Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.4 - Prob. 13E Ch. 5.4 - Prob. 14E Ch. 5.4 - Prob. 15E Ch. 5.4 - Prob. 16E Ch. 5.4 - Symmetry in integrals Use symmetry to evaluate the...Ch. 5.4 - Symmetry in integrals Use symmetry to evaluate the...Ch. 5.4 - Symmetry in integrals Use symmetry to evaluate the...Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.4 - Prob. 23E Ch. 5.4 - Prob. 24E Ch. 5.4 - Average values Find the average value of the...Ch. 5.4 - Prob. 26E Ch. 5.4 - Prob. 27E Ch. 5.4 - Average values Find the average value of the...Ch. 5.4 - Prob. 29E Ch. 5.4 - Prob. 30E Ch. 5.4 - Average values Find the average value of the...Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - Average elevation The elevation of a path is given...Ch. 5.4 - Average velocity The velocity in m/s of an object...Ch. 5.4 - Average velocity A rock is launched vertically...Ch. 5.4 - Average height of an arch The height of an arch...Ch. 5.4 - Average height of a wave The surface of a water...Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Mean Value Theorem for Integrals Find or...Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Explain why or why not Determine whether the...Ch. 5.4 - Prob. 46E Ch. 5.4 - Gateway Arch The Gateway Arch in St. Louis is 630...Ch. 5.4 - Prob. 48E Ch. 5.4 - Prob. 49E Ch. 5.4 - Symmetry of composite functions Prove that the...Ch. 5.4 - Prob. 51E Ch. 5.4 - Symmetry of composite functions Prove that the...Ch. 5.4 - Average value with a parameter Consider the...Ch. 5.4 - Prob. 54E Ch. 5.4 - Problems of antiquity Several calculus problems...Ch. 5.4 - Prob. 56E Ch. 5.4 - Symmetry of powers Fill in the following table...Ch. 5.4 - Prob. 58E Ch. 5.4 - Prob. 59E Ch. 5.4 - A sine integral by Riemann sums Consider the...Ch. 5.5 - Find a new variable u so that 4x3(x4+5)10dx=u10du.Ch. 5.5 - Prob. 2QC Ch. 5.5 - Prob. 3QC Ch. 5.5 - Prob. 4QC Ch. 5.5 - Prob. 5QC Ch. 5.5 - Review Questions 1. On which derivative rule is...Ch. 5.5 - Prob. 2E Ch. 5.5 - Prob. 3E Ch. 5.5 - Find a suitable substitution for evaluating...Ch. 5.5 - Prob. 5E Ch. 5.5 - If the change of variables u = x2 4 is used to...Ch. 5.5 - Substitution given Use the given substitution to...Ch. 5.5 - Prob. 8E Ch. 5.5 - Substitution given Use the given substitution to...Ch. 5.5 - Prob. 10E Ch. 5.5 - Prob. 11E Ch. 5.5 - Prob. 12E Ch. 5.5 - Prob. 13E Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 24E Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - x9sinx10dx Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Indefinite integrals Use a change of variables or...Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Definite integrals Use a change of variables or...Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Definite integrals Use a change of variables or...Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Definite integrals Use a change of variables or...Ch. 5.5 - Definite integrals Use a change of variables or...Ch. 5.5 - Prob. 56E Ch. 5.5 - Definite integrals Use a change of variables or...Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - 01x1x2dx Ch. 5.5 - Prob. 66E Ch. 5.5 - Prob. 67E Ch. 5.5 - Prob. 68E Ch. 5.5 - 02x316x4dx Ch. 5.5 - Prob. 70E Ch. 5.5 - Prob. 71E Ch. 5.5 - Prob. 72E Ch. 5.5 - Prob. 73E Ch. 5.5 - Prob. 74E Ch. 5.5 - Prob. 75E Ch. 5.5 - Prob. 76E Ch. 5.5 - Prob. 77E Ch. 5.5 - Prob. 78E Ch. 5.5 - Prob. 79E Ch. 5.5 - Prob. 80E Ch. 5.5 - Prob. 81E Ch. 5.5 - Prob. 82E Ch. 5.5 - Prob. 83E Ch. 5.5 - Prob. 84E Ch. 5.5 - Prob. 85E Ch. 5.5 - Prob. 86E Ch. 5.5 - Prob. 87E Ch. 5.5 - Prob. 88E Ch. 5.5 - Prob. 89E Ch. 5.5 - Prob. 90E Ch. 5.5 - Prob. 91E Ch. 5.5 - Prob. 92E Ch. 5.5 - Prob. 93E Ch. 5.5 - Prob. 94E Ch. 5.5 - Prob. 95E Ch. 5.5 - Prob. 96E Ch. 5.5 - Prob. 97E Ch. 5.5 - Prob. 98E Ch. 5.5 - Morphing parabolas The family of parabolas y =...Ch. 5.5 - Prob. 100E Ch. 5.5 - Prob. 101E Ch. 5.5 - Prob. 102E Ch. 5.5 - Average value of sine functions Use a graphing...Ch. 5.5 - Prob. 104E Ch. 5.5 - Prob. 105E Ch. 5.5 - Prob. 106E Ch. 5.5 - Prob. 107E Ch. 5.5 - Prob. 108E Ch. 5.5 - Prob. 109E Ch. 5.5 - Prob. 110E Ch. 5.5 - Prob. 111E Ch. 5.5 - Prob. 112E Ch. 5.5 - Prob. 113E Ch. 5.5 - Prob. 114E Ch. 5.5 - Substitution: scaling Another change of variables...Ch. 5.5 - Multiple substitutions If necessary, use two or...Ch. 5.5 - Prob. 117E Ch. 5.5 - Prob. 118E Ch. 5.5 - Prob. 119E Ch. 5 - Explain why or why not Determine whether the...Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Use the tabulated values of f to estimate the...Ch. 5 - Estimate 144x+1dx by evaluating the left, right,...Ch. 5 - Prob. 6RE Ch. 5 - Estimating a definite integral Use a calculator...Ch. 5 - Prob. 8RE Ch. 5 - Prob. 9RE Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Sum to integral Evaluate the following limit by...Ch. 5 - Prob. 15RE Ch. 5 - Properties of integrals The figure shows the areas...Ch. 5 - Prob. 17RE Ch. 5 - Prob. 18RE Ch. 5 - Prob. 19RE Ch. 5 - Prob. 20RE Ch. 5 - Prob. 21RE Ch. 5 - Prob. 22RE Ch. 5 - Prob. 23RE Ch. 5 - Prob. 24RE Ch. 5 - Prob. 25RE Ch. 5 - Prob. 26RE Ch. 5 - Prob. 27RE Ch. 5 - Prob. 28RE Ch. 5 - Prob. 29RE Ch. 5 - Prob. 30RE Ch. 5 - 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Find...Ch. 5 - Prob. 100RE Ch. 5 - Prob. 101RE Ch. 5 - Prob. 102RE Ch. 5 - Prob. 103RE Ch. 5 - Prob. 104RE Ch. 5 - Prob. 105RE Ch. 5 - Prob. 106RE Ch. 5 - Prob. 107RE Ch. 5 - Prob. 108RE Ch. 5 - Prob. 109RE Ch. 5 - Prob. 110RE Ch. 5 - Prob. 111RE Ch. 5 - Prob. 112RE Ch. 5 - Prob. 113RE Ch. 5 - Prob. 114RE Ch. 5 - Prob. 115RE Ch. 5 - Prob. 116RE Ch. 5 - Prob. 117RE

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Velocity of a Ferris Wheel Use Figure 7 as a model of the Ferris wheel called Colossus that is built in St. Louis in 1986. The diameter of the wheel is 165 feet. A brochure that gives some statistics associated with Colossus indicates that it rotates at 1.5 revolutions per minute and also indicates that a rider on the wheel is traveling at 10 miles per hour. Explain why these two numbers, 1.5 revolutions per minute and 10 miles per hour, cannot both be correct.
Astronomy Use the result of Exercise 53 to show that the minimum distance (perihelion) from the sun to the planet is r=a1e and the maximum distance (aphelion) is r=a1+e.
Which A winch of radius 2 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15 s, find the speed at which the load is rising.

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Trigonometry - Harmonic Motion - Equation Setup; Author: David Hays;https://www.youtube.com/watch?v=BPrZnn3DJ6Q;License: Standard YouTube License, CC-BY

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