Donnie Smith Assignment Section 7.1 due 04/17/2017 at 11:59pm MST Sharma MAT 266 ONLINE B Spring 2017 Answer(s) submitted: 562.5 (correct) 5. (1 point) Sketch the region in the first quadrant enclosed by y = 5/x, y = 6x, and y = 16 x. Decide whether to integrate with respect to x or y. Then find the area of the region. Area = Answer(s) submitted: (incorrect) 6. (1 point) Find the area of the region enclosed between y = 3 sin(x) and y = 4 cos(x) from x = 0 to x = 0.5. Hint: Notice that this region consists of two parts. Answer(s) submitted: 1. (1 point) Find the area enclosed between f (x) = 0.8x2 +8 and g(x) = x from x = 4 to x = 3. (incorrect) 7. (1 point) Find c > 0 such that the area of the region enclosed by the parabolas y = x2 c2 and y = c2 x2 is 210. c= Answer(s) submitted: 83.7667 (correct) Answer(s) submitted: 2. (1 point) Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 3 + x, y = 3 + 13 x (incorrect) 8. (1 point) Find the area of the region bounded by the parabola y = 3x2 , the tangent line to this parabola at (2, 12) and the x axis. Answer(s) submitted: Answer(s) submitted: (incorrect) (incorrect) 3. (1 point) Sketch the region enclosed by x = 5y2 and x + y = 4. Decide whether to integrate with respect to x or y. Then find the area of the region. 9. (1 point) Consider the area between the graphs x + 1y = 6 and x + 6 = y2 . This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals Answer(s) submitted: Z b (243)/(50) a Z c f (x) dx + (correct) g(x) dx b where a = ,b= ,c= and f (x) = g(x) = Alternatively this area can be computed as a single integral x + y2 = 56 and 4. (1 point) Sketch the region enclosed by x = y. Decide whether to integrate with respect to x or y. Then find the area of the region. Z h(y) dy 1 where = ,= h(y) = Either way we find that the area is and The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = 4 x. Find the area of this region by writing x as a function of y and integrating with respect to y. . Answer(s) submitted: Area = Answer(s) submitted: (incorrect) 10. (1 point) (incorrect) c Generated by WeBWorK, http://webwork.maa.org, Mathematical Association of America 2