MATH 1300 Quiz: MATH1300 Quiz 9 2015 Fall

• School: CU-Boulder
• Department: Mathematics
• Course: MATH 1300
• Professor: All

Document Summary

This quiz is due in class monday, april 20th: find f, g, h if (a) f(cid:48)(x) = , f (1/2) = 0 f (x) = 4 arcsin(x) + c. 0 = f (1/2) = 4 arcsin(1/2) + c = 4 /6 + c c = 2 /3 f (x) = 4 arcsin(x) 2 /3. (b) g(cid:48)(cid:48)(x) = , g(4) = 20, g(cid:48)(4) = 7 g(cid:48)(x) = 3x1/2/(1/2) + c. 7 = g(cid:48)(4) = 6(4)1/2 + c c = 5 g(x) = 6x3/2/(3/2) 5x + d. 0 = h(0) = 2e0 3 sin(0) + c(0) + d d = 2. 0 = h( ) = 2e 3 sin( ) + c( ) 2 c = 2(1 e )/ h(x) = 2ex 3 sin(x) + Area = f (x)dx = lim n f (xi) x by taking a limit of riemann sums. You may need the formulae k = n(n + 1) 2 k2 = n(n + 1)(2n + 1)