Calculus Answers

Graph each pair of parametric equations.
x = 2t
y = t + 5, -2 ≤ t ≤ 3

Graph each pair of parametric equations.
x = 7 sin t + sin 7t
y = 7 cos t + cos 7t

Graph each pair of parametric equations.
x = 3 sin3t
y = 3 cos3t

The position of an object at time t is given by s(t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivative

Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit of 1 divided by the quantity x minus 10 as x approaches 10 from the left

Find the limit of the function algebraically.

limit as x approaches negative four of quantity x squared minus sixteen divided by quantity x plus four

Find the limit of the function by using direct substitution.

limit as x approaches zero of quantity x squared plus four

Find the derivative of f(x) = negative 9 divided by x at x = -12.

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 3 cos 5θ

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 3 - 4 sin θ