Calculus Answers

Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 3.

Find the center, vertices, and foci of the ellipse with equation.

x squared divided by 81 plus y squared divided by 225 equals 1

Write the sum using summation notation, assuming the suggested pattern continues.

5 - 15 + 45 - 135 + ...

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 36 and 2304, respectively.

Find an explicit rule for the nth term of the sequence.

2, -8, 32, -128, ...

Determine whether the sequence converges or diverges. If it converges, give the limit.

11, 22, 44, 88, ...

Find the first six terms of the sequence.

a1 = -3, an = 2 ● an-1

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <7, 2>, v = <21, 6>

Find the dot product, a • b.

a = 6i + 5j, b = -5i + 4j

Solve the triangle.

A = 48°, a = 32, b = 27