{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

165E2-F2010 - MA 165 EXAM 2 Fall 2010 Page 1/4 NAME 16...

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

View Full Document Right Arrow Icon
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
Image of page 2
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.

Unformatted text preview: MA 165 EXAM 2 Fall 2010 Page 1/4 NAME / 16 STUDENT ID / 31 /27 RECITATION INSTRUCTOR / 26 RECITATION TIME /100 DIRECTIONS 1. Write your name, 10—digit PUID, recitation instructor’s name and recitation time in 9" 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. . N0 books, notes, calculators or any electronic devices may be used on this exam. (16) 1 . Find the derivatives of the following functions. (It is not necessary to simplify). (a) y: 41+2zzs+a23 (1» res) = as (c) y = tan2 (390) (d) y = [1n(1 + 63)]2 MA 165 EXAM 2 Fall 2010 Name —___ Page 2/4 (6) 2. The position function of a particle is given by s = t3 — (4.5)t2 —— 7t, t 2 0. (a) When does the particle reach a velocity of 5 m/sec? (b) When is the acceleration 0? (6) 3. Find 3—: by implicit differentiation, if sina: + cosy = sinmcosy. ME“ II (8) 4. Find the equation of the tangent line to the curve (32 + 21123; — y2 + :t a 2 at the point (1,2). (6) 5. Use a linear approximation to estimate 6—0'015. (5) 6. Find the differential dy of y = ln(sec a: + tan MA 165 EXAM 2 Fall 2010 Name (9) 7. Find the exact value (in radians) of (a) sin—1P?) (c) Sin—1(sin 3571) (6) 8. Simplify the expression sin(2 sin‘l(a7)) and write it in terms of a; without using trigono- metric and inverse trigonometric functions. (12) 9. Find the derivatives of the following functions. (It is not necessary to simplify). (a) y = sin“1 (V sin 03) (b) :t/ = tan—1(Sin—lh/93» mina: (0) 11:3; MA 165 EXAM 2 Fall 2010 Name W Page 4/4 (13) 10. Gravel is being dumped from a conveyer belt at a rate of 30 ft3 / min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? (13) 11. An airplane is flying at 150 ft/sec at an altitude of 2000 ft in a direction that will take it directly over the observer at the ground level. Find the rate of change of the angle between the line from the observer to the plane and the horizontal, when the plane is directly over a point on the ground that is 2000 ft from the observer. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern