Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations x = , y =, z = t²+1, from (1,4,2) to (2,1,17). Round your answer to four decimal places.

a. 14.824
b. 7.2041
c. 15.8306
d. 6.5706
e. None of these


c. 15.8306

Mathematics

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Provide an appropriate response.The standard normal probability density function is defined by f(x) = e- x2/2.  (a) Show that dx = .(b) Use the result in part (a) to show that the standard normal probability density function has mean 0.

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Mathematics

Use the quadratic formula to solve the quadratic equation.y2 - 108 = 3y

A. 12, -9 B. 12, 9 C. -12, 9 D. -12, 1

Mathematics

Find the solution of the Factor Game with the given product and sum numbers.product # = -48and sum # = +2

A. 8 and 6 B. - 8 and - 6 C. 8 and - 6 D. - 8 and 6

Mathematics

Solve the problem.A rumor is spreading across a college campus that there will be no final exams for any classes this semester. At 8 a.m. today, 7 people have heard the rumor. Assume that after each hour, 3 times as many students have heard the rumor. So, for example, 21 people will have heard the rumor by 9 a.m. Let f(t) represent the number of people who have heard the rumor t hours after 8 a.m.i) Find an equation for f.ii) Use f to predict the number of students who will have heard the rumor by 2 p.m.

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Mathematics