# How do you find parametric equations and symmetric equations for the line through #(3, −2, 5)# and parallel to the line #x + 3 = y/2 = z − 2#?

The symmetric form is:

The parametric forms are:

Rewrite in symmetric form:

By signing up, you agree to our Terms of Service and Privacy Policy

Parametric equations for the line are:

x = 3 + t y = -2 + 2t z = 5 + t

Symmetric equations for the line are:

(x - 3) / 1 = (y + 2) / 2 = (z - 5) / 1

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you differentiate the following parametric equation: # x(t)=t^2-t, y(t)=t^3-t^2+3t #?
- What is the arclength of #f(t) = (sqrt(t^2-t^3),t^3-t^2)# on #t in [-1,1]#?
- What is the derivative of #f(t) = (tcos^2t , t^2sin^2t-cost ) #?
- The motion of the particle is given parametrically by #x(t)=3t^2-3#, #y(t)=2t^2# for t is greater than or equal to 0, how do you find the speed of the particle at t=1?
- How do you differentiate the following parametric equation: # x(t)=e^t-t, y(t)=tant-sect #?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7