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12 Problems on Integration and Algorithm - 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

koofers-user-ij0
koofers-user-ij0 🇺🇸

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Sample Test 3A, Math 1501F,-Fall 2005 Problem 1. Let f(z) = sin(e) cos(z) ~ 3sin(e) + 2¢ for 0 < x < 27. Find the critical mimbers of f'and the lotal extréme.values. Problem 2.4 pentagori with ‘a perimeter of. 30 inches is to: be constructed by adjoiiting: an equilateral triangle to-4-rectazigle. ‘Find-the dimensions 6f the réctangle and the triangle that: will-maximize the area of the pentagon, Problem 3. Let f(z) = 554. Sketch the graph of the function following the detailed algorithm. Problem. 4, Bvaluate-the definite integrals (a) f : (x + 3) a; ) [ (Va = va) ax a/& (c) ;, 2sec"(x)de. Problern.5. Sketch the region ‘bounded by: the curves 4a = 4y ~ y? and 4z— y = O-arid find its area. Problenr.6. Sketch the région 9 bounded-by the curves ¢ = yand z = y4+-2 and use the shell method to find the volume of the solid genérated by. revolving 2 about the y-axis.