Express the complex number in trigonometric form. -5i (5 points)

Find a ⋅ b. a = 7i – 4j, b = 4i + 3j (5 points)

Find the center, vertices, and foci of the ellipse with equation 4×2 + 9y2 = 36. (5 points)

Express the complex number in trigonometric form. 5 – 5i (5 points)

Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5 (7 points)

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 (5 points)

Solve the triangle. A = 54°, b = 11, c = 8 (5 points)

Express the complex number in trigonometric form. 5 – 5i (5 points)

The position of an object at time t is given by s(t) = -9 – 5t. Find the instantaneous velocity at t = 4 by finding the derivative. (5 points)

Solve the triangle. A = 46°, a = 34, b = 27 (5 points)