Reference no: EM13242705
Evaluate the integral (1-6)
![249_Evaluate the integral.png](https://secure.expertsmind.com/CMSImages/249_Evaluate%20the%20integral.png)
7. Determine whether the improper integral is convergent or divergent. If it converges, find its value.
![967_Evaluate the integral1.png](https://secure.expertsmind.com/CMSImages/967_Evaluate%20the%20integral1.png)
8. Find the length of the curve, y = 2x3/2 , from x = 0 to x = 1
In exercises 9 and 10, determine whether the sequence converges or diverges. If it converges, find the limit.
![1820_Evaluate the integral2.png](https://secure.expertsmind.com/CMSImages/1820_Evaluate%20the%20integral2.png)
In exercises 11-14, determine whether the series converges or diverges. Indicate the test(s) that you use to support your conclusion.
![2101_Evaluate the integral3.png](https://secure.expertsmind.com/CMSImages/2101_Evaluate%20the%20integral3.png)
15. Find the values of x for which the series converges. Check endpoints.
![496_Evaluate the integral4.png](https://secure.expertsmind.com/CMSImages/496_Evaluate%20the%20integral4.png)
16. Find the first four terms of the Taylor series of /(x) = e at a = 1.
In exercises 17 and 18, solve the differential equation.
![1820_Evaluate the integral5.png](https://secure.expertsmind.com/CMSImages/1820_Evaluate%20the%20integral5.png)
19. Solve the initial-value problem.
![1614_Evaluate the integral6.png](https://secure.expertsmind.com/CMSImages/1614_Evaluate%20the%20integral6.png)
20. Find the general solution of the nonhomogeneous differential equation,
y'' + 3y' - 10y = e4x
Suggestion: use the method of undetermined coefficients.
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