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The exam consists of eight problems, each worth 20 points. No calculators are allowed in the exam. Please write neatly, and please justify your answers. You are free to use any trigonometric identities that you remember without justi cation. Partial credit will be given for partial attempts.
12 wrz 2019 · We will derive formulas to convert between cylindrical coordinates and spherical coordinates as well as between Cartesian and spherical coordinates (the more useful of the two). Here is a set of practice problems to accompany the notes for Paul Dawkins Calculus II course at Lamar University.
This collection of solved problems covers elementary and intermediate calculus, and much of advanced calculus. We have aimed at presenting the broadest range of problems that you are likely to encounter—the old chestnuts, all the current standard types, and some not so standard. Each chapter begins with very elementary problems.
CALCULUS 2 MATH 2300 FALL 2018 Name PRACTICE EXAM SOLUTIONS Please answer all of the questions, and show your work. You must explain your answers to get credit. You will be graded on the clarity of your exposition! Date: December 12, 2018. 1
Calc II: Practice Final Exam 1 PART I. Integration. 1. Compute the following integrals. (a) Z (lnx)2dx Integrate by parts twice, the rst time choose: f= (lnx)2; g= 1 and the second time choose: f= lnx; g= 1: Then Z (lnx)2dx= x(lnx)2 2 Z x lnx x dx= x(lnx)2 2fxlnx Z x 1 x dxg= x(lnx)2 2xlnx+ 2x+ C: (b) Z dx x2 p 4x2 + 1 Perform the trig ...
Practice Problems 1: Answers 1. Solve for x: a) 6x 362 x Answer. Since 36 62, the equation becomes 6x 62 2 x, so we must have x 2 2 x which has the solution x 4 3. b) ln3 x 5 Answer. If we exponentiate both sides we get x 35 243. c) ln2 x 1 ln2 x 1 ln2 8 Answer. Since the difference of logarithms is the logarithm of the quotient, we rewrite ...
16 lis 2022 · Here are a set of practice problems for the Series and Sequences chapter of the Calculus II notes. If you’d like a pdf document containing the solutions the download tab above contains links to pdf’s containing the solutions for the full book, chapter and section.
