Compute the given improper integral. Enter the exact value of the answer. 1 Vx2 - 16 Question Help: Video B Written Example Message instructor Submit Question X Question 12 C 0/1 pt 9 18 @ Details Score on last try: 0 of 1 pts. See Details for more. You can retry this question below Find the volume of the solid generated by revolving about the x-axis the region under the curve y = from : = 9 to x = co. If the answer does not exist, enter DNE. Otherwise, give an exact value. Questin L JU . Find a function y(z) such that Ayy' = x and y(4) = 2. y = Question Help: Video @ Writter For the series \\ ( 1)" Submit Question n=1 3n07 + 6 calculate the sum of the first 3 terms, $3. Include four decimal places in your answer. Question 6 S3- Now find a bound for the error. Solve the differential equation TerrorI S -=1+x. Use the initial condition y(1) = 2. Express y" in terms of . y" = Question Help: Video Written Example Message instructor Submit Question Question 7 0/1 pt 9 20 Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 + 15x *> 0 cy2 with the initial condition y(1) = 2. y = 8 Write the alternating series 6 + 10 9 27 + 81 . using sigma notation. n = 1 By the alternating series test, the series 3 (-1) * +1 k_1 k(k + 2) converges. Find its sum as a reduced fraction. 3 First, find the partial fraction decomposition of k(k + 2) to write a telescoping series. k ( k + 2 ) Then find the limit of the partial sums. Enter your answer for the sum as a reduced fraction. 3(-1) *+1 ki k ( k + 2 )