Evaluate the double integral ∫∫D x cos y dA, where D is bounded by x = 0, y = x², and x = 3 Answer:
9. Determine the area of the region bounded by the graph of f(x) = sinº(5x) cos(5x) and the x-axis between x = -0.2262 and x = 0.2953, giving your answer to 4 decimals. A) 0.0584 B) 0.0634 C) 0.0684 D) 0.0734 E) 0.0784
Determine the following integral where D is the region bounded by x = y, y = 0 and x+y= 2. S S (1 + xy") da = D [3 points]
7 Consider the region bounded by y = sinx, y = cos x, x = 0, and x = Find the volume of the solid generated when the above region is revolved about 3-axis. Detailed drawing required. a b Find the volume of the solid generated when the above region is revolved about y -axis. Detailed drawing required. Hint: S = sin xdx = sin r - 100+, S roos edat = cos I+rsins + c.
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
Use a suitable change of variables to evaluate where D is bounded by the curves x = y, x = 2y, x + y = 1, and x + y = 2. SL 2(2 + y) y3 dA D
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by x > 0, y = 0 and the line x + 2y = 2.
Which expression represents the area of the region bounded by y = 5x – x2 and y= 2x? O None of the other choices 5°(+32 + xº)da $*+32 + 2?) de (3x - ² de (32 – 22) de
1/3 x + y 7. Consider dA where R is the region bounded by the triangle with vertices (0,0), (2,0), V= x+y X-y and (0,-2). The change of variables u=- defines a transformation T(x,y)=(u,v) from the xy-plane 2 to the uv-plane. (a) (10 pts) Write S (in terms of u and v) using set- builder notation, where T:R→S. Use T to help you sketch S in the uv-plane by evaluating T at the vertices. - 1 a(u,v) (b) (4 pts)...