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Exam 1 Practice Problems - Calculus I | MATH 1501, Exams of Calculus

Georgia Institute of Technology - Main CampusCalculus

Material Type: Exam; Class: Calculus I; Subject: Mathematics; University: Georgia Institute of Technology-Main Campus; Term: Fall 2005;

Typology: Exams

2011/2012

Uploaded on 04/23/2012

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koofers-user-9i1 🇺🇸

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Sample Test 1A, Math 1501F, Fall 2005 Problem 1. Let f(z) = V5a—4 and g(x) = |jz-1) (2) Compute (f 0 9)(2); (b) Find the largest possible domain for f og. Problem 2. Answer the following questions on limits. {a) Give a precise definition of the meaning of the statement limy +. fl@=ah (b) Give an ¢— 6 proof that lim, _a(z? - 1) =3. Problem 3. Compute the following limits, if they exist. Show your work. _ wtte—2 (¢) fim eet @ lm tan(3z) x0 2a? + ba" Problem 4. Let 1, #<0 we, O —1. Problem 6. Find the indicated derivatives. d tt (—) $ (gen): df{u e ) é(fa-at a 5 ©) ga @e-2"). Problem 7. An object moves along the z-axis. Its position at time t > 0 is given by a(t) = 44 — 6¢? — 15t. Determine the time interval(s), if any, during which the object is (a) moving right {b) moving left and slowing down.