File name: Calculus 2 Problems And Solutions Pdf

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👉Calculus 2 Problems And Solutions Pdf

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Calculus II Practice Problems 2: Answers 1. Solve the initial value problem: 4y 3y ex y 0 7 Answer. First solve the homogeneous equation, which can be written as dy 3 y 3 4 dx, which . Calculus II Practice Final Exam, Answers 1. Differentiate: a) f x ln sin e2x. Answer. This is an exercise in the chain rule: f x 1 sin e2x cos e2x 2e2x 2e2x cot e2x b) g x xtan 1 x2. Answer. . >80% Items Are New · Returns Made Easy · Make Money When You Sell · Top BrandsPopular Links: Geometric · Educational · Casual · Plus Size · Adjustable · Project · Long. Sep 12, · Find a set of practice problems for the Calculus II notes with links to the solutions. The problems cover topics such as integration techniques, improper integrals, applications of integrals, parametric equations and polar coordinates. SOLUTION: We can see the region in question below. x2)2 (x2 + 1)2 dx. 1. (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the line x = 3. Do not evaluate the integral. 2. MULTIPLE CHOICE: Circle the best answer. an improper integral?. Calculus II Practice Problems 1: Answers 1. Solve for x: a) 6x 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 c) ln2 x 1 ln2 x 1 ln2 8 Answer. Since the difference of logarithms is the logarithm of the quotient, we. Calculus II Practice Problems 2: Answers 1. Solve the initial value problem: 4y 3y ex y 0 7 Answer. First solve the homogeneous equation, which can be written as dy 3 y 3 4 dx, which has the solution y Ke 4 x. We try y ue 3 in the original equation. The left hand side is 4y 3y 4 ue 3 4 x 3ue 3 4 x 4u e 3 4 x 3ue 3 4 x 3ue 3 4 x 4u e 3 4 x. Calculus II Final Exam Practice Problems 1. (a) Sketch the conic section. Find and label any foci, vertices, and asymptotes. (x−3) −9y2 =36 (b) Find the equation of the ellipse with foci (0, 2) and semi-major axis length 3. 2. (a) Find the area of one petal of the rose r = 4sin(3). SOLUTION: We can see the region in question below. x2)2 (x2 + 1)2 dx. 1. (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the line x = 3. Do not evaluate the integral. 2. MULTIPLE CHOICE: Circle the best answer. an improper integral?.