{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Math151OldSolsConics

Math151OldSolsConics - QUIZ ON CHAPTER 13 SOLUTIONS MATH...

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

View Full Document Right Arrow Icon
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.
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
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).
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}