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Calc 2 6.5

 

<== Calculus 2
Number Question Answer
See the work

1.

 

 

 

 

 

Given the following integral and value of n,
approximate the following integral using the methods indicated
a=1; b=0; e^(-5x^2)dx, n=4
(a) Trapezoidal Rule
(b) Midpoint Rule
(c) Simpson's Rule

 

(a) 0.44030931706227
(b) 0.44139447427
(c) 0.440906212647058
The work

Point Cost: 4

2.

 

 

 

A radar gun was used to record the speed of a runner
during the first 5 seconds of a race (see table). Use
Simpson’s rule to estimate the distance the runner covered
during those 5 seconds.

40.49
The work

Point Cost: 3

3.

 

 

 

Approximate the definite integral


using 4 subintervals of equal length and

(a) midpoint rule
(b) trapezoidal rule
(c) Simpson's rule
(a) 20
(b) 20
(c) (56/3)
The work

Point Cost: 3