AP Precalc AB Sem2 Exam: Quiz 5

Give the rectangular coordinates for the point.

(7, 4π/3)

• (7/2, 7√3/2)

• (-7/2, -7√3/2)

• (-7/2, 7/2)

• (-7√3/2, -7/2)

• 3√3 - 3i

• -3√3 + 3i

• 3√3 + 3i

• -3√3 - 3i

• √14(cos π/4 + i sin π/4)

• √14(cos 5π/4 + i sin 5π/4)

• √14(cos 7π/4 + i sin 7π/4)

• √14(cos 3π/4 + i sin 3π/4)

The graph of a polar equation is given. Select the polar equation for the graph.

• r = 4 + cos(4θ)

• r = 4 cos(4θ)

• r = 4 sin(4θ)

• r = 4 cos(8θ)

The graph of a limacon curve is given. Determine which equation is correct for the graph.

• r = 2 + 2 sin θ

• r = 1 - 3 sin θ

• r = 2 - 2 sin θ

• r = 3 - 2 sin θ

Select the polar equation for the graph.

• r = 4 + cos θ

• r = 2 + 3 cos θ

• r = 2 + 2 cos θ

• r = 3 + 2 cos θ

The graph of a polar equation is given. Select the polar equation for the graph.

• r = -2

• r sin θ = -2

• r = -4 sin θ

• r = -4 cos θ

f(θ) = 2 - 4 cos θ Find the average rate of change of f between θ = π/3 & θ = 2π/3

• π/12

• 12/π

• -π/12

• -12/π