{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Math151OldSolsConics

# Math151OldSolsConics - QUIZ ON CHAPTER 13 SOLUTIONS MATH...

This preview shows pages 1–3. Sign up to view the full content.

QUIZ ON CHAPTER 13 SOLUTIONS MATH 151 – SPRING 2003 – KUNIYUKI 100 POINTS TOTAL When graphing, be reasonably accurate, and clearly indicate orientation. Use as many arrowheads as appropriate. Clearly indicate x - and y -intercepts, endpoints, and extreme points when feasible. 1) Find a rectangular equation for the curve described by: x t y t t = + = - 2 3 4 in R (4 points) y t t y = - fi = - 4 4 Together with x t = + fi = - ( ) + = - + 2 3 x y x y y 4 3 or 8 19 2 2 2) Find a rectangular equation in x and y that has the same graph as the polar equation r 2 6 = sec csc q q . (6 points) r r r r r 2 2 2 6 6 1 1 6 6 = = = ( ) ( ) = = sec csc cos sin cos sin cos sin q q q q q q q q xy y x 6 or = 6 Note: The graph of this is a hyperbola.

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

View Full Document
3) Sketch the graph of C using the grid below, where C is described by: x t y t t = = < < cos sec 2 2 p p (10 points) Clues: Because sec cos 2 2 1 x x = , the rectangular equation is y x = 1 2 (note that we have an even function of x here). Its unrestricted graph is: As t increases from p 2 to p (excluding the endpoints themselves), cos t stays negative; in particular, it decreases from 0 to –1 (excluding 0 and –1, themselves).
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}