Chapter 8.3, Problem 81E

Find the cost function if the marginal cost function is C'(x) = 3x-4 and the fixed cost is $9. C(x) = ☐

For the power series ∞ (−1)" (2n+1)(x+4)” calculate Z, defined as follows: n=0 (5 - 1)√n if the interval of convergence is (a, b), then Z = sin a + sin b if the interval of convergence is (a, b), then Z = cos asin b if the interval of convergence is (a, b], then Z = sin a + cos b if the interval of convergence is [a, b], then Z = cos a + cos b Then the value of Z is -0.502 0.117 -0.144 -0.405 0.604 0.721 -0.950 -0.588

H-/ test the Series 1.12 7√2 by ratio best 2n 2-12- nz by vitio test en

Hale / test the Series 1.12 7√2 2n by ratio best 2-12- nz by vico tio test en - プ n2 rook 31() by mood fest 4- E (^)" by root test Inn 5-E 3' b. E n n³ 2n by ratio test ٤ by Comera beon Test (n+2)!

Evaluate the double integral ' √ √ (−2xy² + 3ry) dA R where R = {(x,y)| 1 ≤ x ≤ 3, 2 ≤ y ≤ 4} Double Integral Plot of integrand and Region R N 120 100 80- 60- 40 20 -20 -40 2 T 3 4 5123456 This plot is an example of the function over region R. The region and function identified in your problem will be slightly different. Answer = Round your answer to four decimal places.

Find Te²+ dydz 0 Write your answer in exact form.

xy² Find -dA, R = [0,3] × [−4,4] x²+1 Round your answer to four decimal places.

Find the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help? Read It Watch It SUBMIT ANSWER [-/4 Points] DETAILS MY NOTES SESSCALCET2 8.3.513.XP. Consider the following series. 00 Σ n = 1 1 6 n° (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) Sn + + Los f(x) dx ≤s ≤ S₁ + Jn + 1 + Lo f(x) dx ≤s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s≈s is less than 0.0000001. On > 11 n> -18 On > 18 On > 0 On > 6 Need Help? Read It Watch It

√5 Find Lª³ L² y-are y- arctan (+) dy dydx. Hint: Use integration by parts. SolidUnderSurface z=y*arctan(1/x) Z1 2 y 1 1 Round your answer to 4 decimal places.