please write as neat as possibleplease write as neat as possible 4. Compute the integral x² da where D is the...
scan it clear please
7. (20points) Consider the following double integral: Hoc dA, where D is bounded by the upper semi circle y = V1 - 12 and the x-axis. (1) (Spoints) Find the Jacobian of the polar coordinates (2) (15 points) Evaluate the double integral by changing to polar coordinates.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
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]
Evaluate the double integral ∫∫D x cos y dA, where D is bounded by x = 0, y = x², and x = 3 Answer:
3. Evaluate the integral by changing to polar coordinates: SS (x+y) da R Where R is the region in quadrant 2 above the line y=-x and inside the circle x2 + y2 = 2.
#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...
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.
solve parts b,d and f
2. Compute the integral of f over S where (a) f(ayz)xy+z.S is the region in the first octant with xy+ (b) f(xy.z)xxyz, S is the region defined in 2(a) (c) f(x,y.z) x + y2-xz, s is the region bounded by the x'y plane, the plane z (d) f(x,y,z) 2, and the cylinderx2 y z, s is the region in the first octant bounded by r2 + y2 + 2 4 (e) f(xy,z-2, s is the...
Calcule
um dado integral colocando-o em coordenadas polares. solve
7,8,9
7)ff D ,x^2 y dA where D is the upper half of the disc
with center at the origin and radius 5
.
8)ff E (2x-y) dA where R is the region of the first quadrant
bounded by the circuit x ^ 2 + y ^ 2 = 4 and the lines x = 0 and y
= x.
9)ff E sen(x^2+y^2) dA where R is the region of the...
Calculate the double integral ||(x + 3 y) dA where R is bounded by y = Vx and y = x