BackDrag racer acceleration The fastest drag racers can reach a speed of 330 mi/hr over a quarter-mile strip in 4.45 seconds (from a standing start). Complete the following sentence about such a drag racer: At some point during the race, the maximum acceleration of the drag racer is at least _____ mi/hr/s. .
a. Use the Intermediate Value Theorem to show that the equation has a solution in the given interval.
x=cos x; (0,π/2)
Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.
1/203
Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.
√146
Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.
ln 1.05
Suppose f is differentiable on (-∞,∞), f(1) = 2, and f'(1) = 3. Find the linear approximation to f at x = 1 and use it to approximate f (1.1).
Suppose f is differentiable on (-∞,∞) and the equation of the line tangent to the graph of f at x = 2 is y = 5x -3. Use the linear approximation to f at x = 2 to approximate f(2.01).
Use linear approximation to estimate f (3.85) given that f(4) = 3 and f'(4) = 2.
Use linear approximation to estimate f (5.1) given that f(5) = 10 and f'(5) = -2.
Suppose f is differentiable on (-∞,∞) and f(5.01) - f(5) = 0.25.Use linear approximation to estimate the value of f'(5).
Suppose f is differentiable on (-∞,∞), f(5.99) = 7, and f(6) = 7.002. Use linear approximation to estimate the value of f'(6).
Linear approximation Find the linear approximation to the following functions at the given point a.
f(x) = 4x² + x; a = 1
Linear approximation Find the linear approximation to the following functions at the given point a.
g(t) = √(2t + 9); a = -4
Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.
e⁰·⁰⁶
Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.
1/³√510