Chapter A4, Problem 38E

Derive an 0(h¹) five-point formula to approximate f'(x) that uses f(x − h), f(x), ƒ (x + h), ƒ (x + 2h), and f(x + 3h)

Prove with solutions

· Use integration by parts to evaluate (6xe*dx. -7x A) (7x+1)(6e7*) бе +C 49 B) -7x е +C 7 C) (6e7") -7x бе +C 49 D) x( 6e +C 7 E) -7x e +C 7

In the region in the first quadrant bounded by f(x) = 4x - x2 and the x-axis, what are the lower & upper boundaries or the limits of integration and intersections of the curve bounded by f(x) = 4x - x2 and the x-axis?

In integrating the function f(3x + 5)(cosdr using integration by parts, what would you choose for your u? u = 3x + 5 Option 1 u = cos O Option 2 u = 3 Option 3 u = 4sin Option 4

Show that f(x1, x2) = 2 - (x1 - 1)^2 - e^x2^2 is concave.

what is the integration of x2+4x2+1/ x6 +2x4+x2