{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Practice Exam 3 - PRACTICEEXAM#3 Math185,Chapters10&11...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
PRACTICE EXAM #3 Math 185, Chapters 10 & 11 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Parametric equations and and a parameter interval for the motion of a particle in the xy - plane are given. Identify the particle ʹ s path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. 1) x = 9t 2 , y = 3t, - ∞ ≤ t ≤ ∞ x -5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1 -1 -2 -3 -4 -5 1) 2) x = 2t + 3, y = 6t + 6, - ∞ ≤ t ≤ ∞ x -5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1 -1 -2 -3 -4 -5 2) 1
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Find an equation for the line tangent to the curve at the point defined by the given value of t. 3) x = t + cos t, y = 2 - sin t, t = π 6 3) 4) x = 8t 2 - 5, y = t 3 , t = 1 4) Find the value of d 2 y/dx 2 at the point defined by the given value of t. 5) x = t + 3 , y = - t, t = 22 5) Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t), y = g(t)at the given value of t. 6) 2x + 4x 3/2 = t 3 + t, y(t + 1) - 4t y = 9, t = 0 6) 7) x = t sin t + t, y cos t + y = 2t, t = π 2 7) 2
Image of page 2
Find the length of the curve.
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}