Question

Use the following equation for problems 21) through 23). $I = \int_{-2}^{4} \cos(0.5x) dx$ 21) (3 points) Use the Multiple Application of the Trapezoid Rule with n=3 to evaluate the integral above. The estimate of the integral is... a. 2.20 b. 2.35 c. 2.52 d. 2.79 e. None of the above (actual answer is 3.20) 22) (3 points) Use Simpson's Rule Integration to evaluate the previous integral with an individual increment step size of 2. What does this estimation of the integral equal? a. 3.427 b. 3.468 c. 3.559 d. 3.672 e. None of the above 23) (5 points) Use the Three-Point Gauss Quadrature equation to solve the integral above. What would your estimate of the integral be? a. 3.452 b. 3.503 c. 3.572 d. 3.664 e. None of the above.

          Use the following equation for problems 21) through 23).
$I = \int_{-2}^{4} \cos(0.5x) dx$
21) (3 points) Use the Multiple Application of the Trapezoid Rule with n=3 to evaluate the integral
above. The estimate of the integral is...
a. 2.20
b. 2.35
c. 2.52
d. 2.79
e. None of the above (actual answer is 3.20)
22) (3 points) Use Simpson's Rule Integration to evaluate the previous integral with an individual
increment step size of 2. What does this estimation of the integral equal?
a. 3.427
b. 3.468
c. 3.559
d. 3.672
e. None of the above
23) (5 points) Use the Three-Point Gauss Quadrature equation to solve the integral above. What
would your estimate of the integral be?
a. 3.452
b. 3.503
c. 3.572
d. 3.664
e. None of the above.

Use the following equation for problems 21) through 23).
I = ∫-2^4cos(0.5x) dx
21) (3 points) Use the Multiple Application of the Trapezoid Rule with n=3 to evaluate the integral
above. The estimate of the integral is...
a. 2.20
b. 2.35
c. 2.52
d. 2.79
e. None of the above (actual answer is 3.20)
22) (3 points) Use Simpson's Rule Integration to evaluate the previous integral with an individual
increment step size of 2. What does this estimation of the integral equal?
a. 3.427
b. 3.468
c. 3.559
d. 3.672
e. None of the above
23) (5 points) Use the Three-Point Gauss Quadrature equation to solve the integral above. What
would your estimate of the integral be?
a. 3.452
b. 3.503
c. 3.572
d. 3.664
e. None of the above.

Added by Eduardo W.

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