MATH 101 Quiz: MATH101 Quiz 4 2017 Winter 2 with Solutions
Document Summary
Answer: k = (b) express as a de nite integral the x coordinate of the centroid of the region to the right of the y axis and to the left of x2 + y2 = 4. 8 x3 e 1/x2 dx converges or diverges; if it con- 4(x + 1)2 1 y x y that obeys y( 1) = 3. Solution: by de nition, the work done in moving the object from x = 2 meters to x = 4 meters by the force f (x) is (cid:90) 4 (cid:90) 4 (cid:0)kx(cid:1) dx = (cid:12)(cid:12)(cid:12)(cid:12)4. 2 x2 (42 22) = 6k. k. The area of the half disk is a = 1 x(cid:2)t (x) b(x)(cid:3) dx = Thursday, march 9 (2,0)x2+y2=4long answer question you must show your work (cid:90) : 4 marks determine whether the integral verges, evaluate it. 8 x3 e dx converges or diverges; if it con- To evaluate both integrals we substitute u = 1 (cid:90) 8.
