Question
9) Find the tangent line approximation T to the graph of f at the given point. Then complete the table. (Round your answer to four
9) Find the tangent line approximationTto the graph offat the given point. Then complete the table. (Round your answer to four decimal places.)
f(x) = 5/x^2, (5,1/5)
T(x) =
x | 4.9 | 4.99 | 5 | 5.01 | 5.1 |
f(x) | |||||
T(x) |
10) According to Kepler's Third Law, the periodT(in days) of a satellite moving in a circular orbitxmi above the surface of the earth is given by
T= 0.0588(1+x/3959)^(3/2)
Suppose that a communications satellite is moving in a circular orbit26,000mi above the earth's surface. Because of friction, the satellite drops down to a new orbit25,500mi above the earth's surface. Estimate the decrease in the period of the satellite to the nearest one-hundredth hour. hours
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