please do numbers 5-8. Show work. L 38% 2:09 AM QUESTION 5 1 points Use Simpsons

Question

please do numbers 5-8. Show work.

L 38% 2:09 AM QUESTION 5 1 points Use Simpsons Rule with n 4 to estimate the length of the arc of the curve with equations 7). Round your answer to four decimal places 1, from (1 4,2) to (2 1.1 a. 14.824 b. 7.2041 c. 1 5.8306 O d. 6.5706 e. None of these QUESTION 6 1 points The position function of a particle is given by rt) (St St. St 100t When is the speed a minimum? t 10 t+ 20 QUESTION 7 1 points Find the a of a particle w h the following posi on function 2, 4t a(t) 4 QUESTION 8 1 points Find the domain of the vector functio rt) NE Int t-3 (0,9) u (9, oo (0, 3) U(3, 9) u (9, co) (0, 3) (3, oo) QUESTION 9 1 points

Explanation / Answer

6.

r = (5t^2, 5t, 5t^2 - 100t)

v = dr/dt = (10t, 5, 10t - 100)

v will be minimum when dr/dt = 0

10t = 0, which gives t = 0

10t - 100 = 0, which gives t = 10

Correct option is B and D

7.

r = (2t^2 - 2, 4t)

v = dr/dt = (4t - 0, 4)

a = dv/dt = (4, 0)

a = 4 i

Correct option is D.

8.

Domain of fx = 9*sqrt t

t >= 0

Domain of fy = (1/(t - 3))

t = R - {3}

Domain of fz = ln t

t > 0

Combining all domain of given function:

Domain = (0, 3) U (3, infinity)

Correct option is D.

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