165E1-F2007

# 165E1-F2007 - (6 MA 165 EXAM 1 Fall 2007 Page 1/4 NAME Page...

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

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (6) MA 165 EXAM 1 Fall 2007 Page 1/4 NAME Page 1 / 12 STUDENT ID Page 2 /30 Page 3 / 25 RECITATION INSTRUCTOR Page 4 / 33 RECITATION TIME TOTAL /100 DIRECTIONS 1. Write your name, 10~digit PUID, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3 and 4. . The test has four (4) pages, including this one. . Write your answers in the boxes provided. . You must show sufﬁcient work to justify all answers unless otherwise stated in the problem. Correct answers with inconsistent work may not be given credit. . Credit for each problem is given in parentheses in the left hand margin. . No books, notes, calculators or any electronic devices may be used on this exam. 2. If f(a:) : ﬂ and 9(22) = . Find all values of :r in the interval [0, 27r] that satisfy the equation sec 1‘ = 2 sin :12. E; 1 , find the functions f o g and g o f and their domains. \$— (f o 9W) ll domain : (90f)(\$) domain : MA 165 EXAM 1 Fall 2007 Page 2/4 (6) 3. Find a formula for the inverse of f(m) 2 2:173 + 3. (4) 4. Solve the equation 6290+3 — 7 : 0 for :13. an? if :1: S 2 ~ . . . , , ﬁnd the value of the constant c for which hm f(a:) 0 ~— 51: if a: > 2 w—+2 A C‘. v C! 7. Hm) :{ exists. (1 ll (6) 6. Find the equations of the vertical and horizontal asymptotes of the graph of 11:2 + 4 2:2 — 1' y: Vertical asymptotes Horizontal asymptotes (8) 7. Find the exact numerical value of the following: (a) 621113 : —ln4) _ (c) tan(7re (d) cos(ln l) : MA 165 EXAM 1 Fall 2007 Page 3/4 (15) 8. For each of the following, fill in the boxes below with a ﬁnite number, or one of the symbols +00, ~00, or DNE (does not exist). It is not necessary to give reasons for your answers. (2 + h,)3 - 8 <2» ,l ’ : <0) \$432)— H4 , 7r (d) lim 1:2 Sin ~ : m—H) j; I — 1 (e) lirn J:— : (3—H) x2(:I;+ 3) (4) 9. True or False. (Circle T or F) (a) The function f(a:) : Ia: — 1| is continuous at :2: : 1. T F (b) The function f(m) = is differentiable at a: 2 O. T F (c) The function f(a:) : is differentiable at x = —1. T F (d) The function g(:1:) = 111(33 — 1) is continuous at w = 0. T F 23: (6) 10. Find an equation of the tangent line to the curve y 2 at the point (1,1). \$+1 MA 165 EXAM 1 Fall 2007 Page 4/4 1 . . (11) 11. Find the derivative of the function f : —2 using the deﬁnition of the derivative x f’ : ’lLirn) (0 credit for using a formula for the derivative). —+ (6) 12. For What values of x is the tangent line to the curve y = 3:132 — 1 parallel to the line :1: — 2y 2 —2. (16) 13. Find the derivatives of the following functions. (It is not necessary to simplify). 1 NF (a) 11:752— (b) y = (1 — e“) tanx. l 1+sin\$ x+cosaf ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

165E1-F2007 - (6 MA 165 EXAM 1 Fall 2007 Page 1/4 NAME Page...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online