
T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
if x < 1 f(x) = { * if x > 1 Evaluate the definite integral. [ºs(x)dx f(x) dx Evaluate the integral –9|x? – 4x|dx Evaluate the integral $." (048 + x) as Integral =
(1 point) Evaluate the definite integral. | << + 1)e+2+28-3 dx =
Question 9 Evaluate the integral f(x) dx where 203 f(x) = for x <1 for x > 1 6 7 4 5 3 O2 11 2
This Question: 1 pt + 5 of 10 (0 completo) Find the indefinito integra (12x+7}x [ 12x + 7)*** This Question: 1 pt < 6 of 10 (0 complete) Evaluate (12 + 8x? -5x+2) dx (122) + Bx? -5x + 2)dx=0 This Question: 1 pt 7 of 100 complete) Evaluate the following integral fox (x + 2) dx = 0 This Question: 1 pt + 8 of 10 0 complete Use substitution to find the indefinite integral This Question: 1...
4. Let 3 f(x, y, z) = x’yz-xyz3, 4 P(2, -1, 1), u =< 0, > 5 a). Find the gradient of f. b). Evaluate the gradient at the point P. c). Find the rate of change of f at the point of P in the direction of the vector u.
5. Let be the function defined by f(x) = -1 3 1.5 if r <0 if 0<x<2 if 3 < r <5 Find the Lebesgue integral of f over (-10,10).
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
Question 7 (5 points) Let f(x) = 24 and -2x, x < 5 9 3 22, x > 5 Evaluate(gof)(7) A/
Question 25 2 pts Let C be the path from (0,0) to (1, 0) to (1,2). The work done by the force F =< 0,5 > on C is O 10 00 05 O 15