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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?
-Find the particular solution using the Method of Undetermined Coefficients - Use the complementary and particular to find the general solution - know what to do if the complementary and the particular overlap
does the solution of the differential equation with initial conditiony(−2) = 0 look like? Draw a rough sketch of the solution on the slope field below. You do not need to solve
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 ).
Quiz yourself with questions and answers for Calculus 2 Final Exam Review, so you can be ready for test day. Explore quizzes and practice tests created by teachers and students or create one from your course material.
Answer. The solution of the homogeneous equation is yh & Acos 8x Bsin 8x) To find a particular solution, try yp ae5x, to find 25a 8a e5x e5x, so a 1 33. Thus our solution is y & 1 33 e5x Acos 8x Bsin 8x * Now, the equations for the initial conditions are 4 +& 1 33 A 0 5 33 8B giving us the solution y 1 33 e5x 131 33 cos &8x 5 33 & 8 sin 8x)
Practice Problems for Final Exam - Page 3 of 7 For problems 41 through 49, write an integral that gives the arc length of each given curve. Compute the integral if possible.
