Quiz

Question 1 · medium

Find the linearization of f(x) = x^3 at a = 2.

Question 2 · easy

Use linearization of sqrt(x) at a=16 to estimate sqrt(17).

Question 3 · easy

Find dy for y = x^4 when x = 1, dx = 0.02.

Question 4 · challenge

Estimate sin(pi/6 + 0.01) using linearization. (sin(pi/6)=1/2, cos(pi/6)=sqrt(3)/2.)

Question 5 · medium

A cube's side is 6 cm ± 0.1 cm. Estimate error in volume.

Question 6 · easy

Estimate (0.98)^3 using linearization at a=1.

Question 7 · easy

Find the relative error in area A = pi*r^2 if the relative error in r is 1%.

Question 8 · medium

Find the linearization of f(x) = 1/sqrt(x) at a = 4.

Question 9 · medium

Use linearization of 1/x at a=5 to estimate 1/5.2.

Question 10 · easy

State what dy = f'(x) dx approximates geometrically.