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Need help with problem 63 pls

Need help with problem 63 pls

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Need help with problem 63 pls
FIGURE 2.33 Normal mean air temperatures at Fairbanks, Alaska, plotted as data points, and the approximating sine function. (Exercise 60) J, y = f(u is negative. Wh g'(-5) and f'(g T 69. The derivative c -2 <x< 3.5. 61. Particle motion The position of a particle moving along a coordi- V1 + 4t , with s in meters and t in seconds. Find nate line iss = the particle's velocity and acceleration at t = 6 sec. for h = 1.0, C cluding negat 62. Constant acceleration Suppose that the velocity of a falling body is v = kVs m/sec (k a constant) at the instant the body has fallen sm from its starting point. Show that the body's acceleration is Explain this 70. The derivative constant. Then, on the 63. Falling meteorite The velocity of a heavy meteorite entering Earth's atmosphere is inversely proportional to Vs when it is s km from Earth's center. Show that the meteorite's acceleration is inversely proportional to s2. for h = 1.0. What do you 64. Particle acceleration A particle moves along the x-axis with veloc- ity dx/dt f(x)f' (x). T The curves in Ex f(x). Show that the particle's acceleration is sajous figures. In quadrant where equations of the 65. Temperature and the period of a pendulum For oscillations of small amplitude (short swings), we may safely model the relationship between the period T and the length L of a simple pendulum with the equation 71. y L. T = 2T
Transcribed Image Text:FIGURE 2.33 Normal mean air temperatures at Fairbanks, Alaska, plotted as data points, and the approximating sine function. (Exercise 60) J, y = f(u is negative. Wh g'(-5) and f'(g T 69. The derivative c -2 <x< 3.5. 61. Particle motion The position of a particle moving along a coordi- V1 + 4t , with s in meters and t in seconds. Find nate line iss = the particle's velocity and acceleration at t = 6 sec. for h = 1.0, C cluding negat 62. Constant acceleration Suppose that the velocity of a falling body is v = kVs m/sec (k a constant) at the instant the body has fallen sm from its starting point. Show that the body's acceleration is Explain this 70. The derivative constant. Then, on the 63. Falling meteorite The velocity of a heavy meteorite entering Earth's atmosphere is inversely proportional to Vs when it is s km from Earth's center. Show that the meteorite's acceleration is inversely proportional to s2. for h = 1.0. What do you 64. Particle acceleration A particle moves along the x-axis with veloc- ity dx/dt f(x)f' (x). T The curves in Ex f(x). Show that the particle's acceleration is sajous figures. In quadrant where equations of the 65. Temperature and the period of a pendulum For oscillations of small amplitude (short swings), we may safely model the relationship between the period T and the length L of a simple pendulum with the equation 71. y L. T = 2T
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