Questions from General Calculus

Q: Use a linear approximation (or differentials) to estimate the given

Use a linear approximation (or differentials) to estimate the given number. 100.5

Q: A lighthouse is located on a small island 3 km away from

A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the sho...

Q: Use a linear approximation (or differentials) to estimate the given

Use a linear approximation (or differentials) to estimate the given number. e0.1

Q: Use a linear approximation (or differentials) to estimate the given

Use a linear approximation (or differentials) to estimate the given number. cos 29°

Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. Sin(x + y) = 2x - 2y, (π, π)

Q: Explain, in terms of linear approximations or differentials, why the

Explain, in terms of linear approximations or differentials, why the approximation is reasonable. sec 0.08 ≈ 1

Q: Explain, in terms of linear approximations or differentials, why the

Explain, in terms of linear approximations or differentials, why the approximation is reasonable. 4.02 ≈ 2.005

Q: Explain, in terms of linear approximations or differentials, why the

Explain, in terms of linear approximations or differentials, why the approximation is reasonable. 1 9.98 ≈ 0.1002

Q: Let f (x) = (x – 1)2

Let f (x) = (x – 1)2 g(x) = e-2x and h(x) = 1 + ln(1 - 2x) (a) Find the linearizations of f, t, and h at a = 0. What do you notice? How do you explain what happened? (b) Graph f, t, and h and their li...

Q: The edge of a cube was found to be 30 cm with

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a)...