Question

1) a. For what values of t does x=4t3-12t2+5 & y=t3-9t2+24t+1 have horizontal and vertical tangent...

1) a. For what values of t does x=4t3-12t2+5 & y=t3-9t2+24t+1 have horizontal and vertical tangent lines?

b. **Find parametric & rectangular equations for the tangent line at t= -1.**

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the parametric equations x = 5 - t^2 , y = t^3 - 48t a....
Consider the parametric equations x = 5 - t^2 , y = t^3 - 48t a. Find dy dx and d 2y dx2 , and determine for what values of t is the curve concave up, and when is it concave down. b. Find where is the tangent line horizontal, and where is it vertical.
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t <...
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t < ∞. (a) Find all of the points where the tangent line is vertical. (b) Find d2y/dx2 at the point (1, 4). (c) Set up an integral for the area under the curve from t = −2 to t = −1. (d) Set up an integral for the length of the curve from t=−1 to t=1.
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find...
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find the values for t where the tangent lines are horizontal on the parametric curve. For the horizontal tangent lines, you do not need to find the (x,y) pairs for these values of t. Find the values for t where the tangent lines are vertical on the parametric curve. For these values of t find the coordinates of the points on the parametric curve.
Consider the parametric curve defined by x = 3t − t^3 , y = 3t^2 ....
Consider the parametric curve defined by x = 3t − t^3 , y = 3t^2 . (a) Find dy/dx in terms of t. (b) Write the equations of the horizontal tangent lines to the curve (c) Write the equations of the vertical tangent lines to the curve. (d) Using the results in (a), (b) and (c), sketch the curve for −2 ≤ t ≤ 2.
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3...
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3 sin(t), t ∈ [0, 2π) Part a: (2 points) Give an equation relating x and y that represents the curve. Part b: (4 points) Find the slope of the tangent line to the curve when t = π 6 . Part c: (4 points) State the points (x, y) where the tangent line is horizontal
Q1/ At what point on the curve x = 3t2 + 8, y = t3 −...
Q1/ At what point on the curve x = 3t2 + 8, y = t3 − 9 does the tangent line have slope 1 2 ? Q2/At what point on the curve x = 6t2 +1, y = t3 − 1 does the tangent line have slope 1 2 ?
Find parametric equations for the rectangular equation y = e^x + 9 using the parameter t...
Find parametric equations for the rectangular equation y = e^x + 9 using the parameter t = dy/dx . Verify that at t = 1, the point on the graph has a tangent line with slope 1
Using MatLab 2. Given the parametric equations x = t^3 - 3t, y = t^2-3: (a)...
Using MatLab 2. Given the parametric equations x = t^3 - 3t, y = t^2-3: (a) Find the points where the tangent line is horizontal or vertical (indicate which in a text line) (b) Plot the curve parametrized by these equations to confirm. (c) Note that the curve crosses itself at the origin. Find the equation of both tangent lines. (d) Find the length of the loop in the graph and the area enclosed by the loop. 3. Use what...
For the parametric curve x(t) = 2−5cos(t), y(t) = 1 + 3sin(t), t ∈ [0,2π) Part...
For the parametric curve x(t) = 2−5cos(t), y(t) = 1 + 3sin(t), t ∈ [0,2π) Part a: Give an equation relating x and y that represents the curve. Part b: Find the slope of the tangent line to the curve when t = π/6 . Part c: State the points (x,y) where the tangent line is horizontal.
Consider the parametric curve given by the equations: x = tsin(t) and y = t cos(t)...
Consider the parametric curve given by the equations: x = tsin(t) and y = t cos(t) for 0 ≤ t ≤ 1 (a) Find the slope of a tangent line to this curve when t = 1. (b) Find the arclength of this curve
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT