3. (34 pts) This question has three parts (a), (b) ad e atd are (a) Evaluste the integralJ)codA, where w (b) Evaluate I (y+2)dV, where E is the solid in the first octant that lies under the parabo...
12xz dV, where S is the solid region in the first octant (x, y, z > 0) that lies above the parabolic cylinder z = y2 and below the paraboloid Evaluate the triple integral I = 1] 1222 dV, where S ist 2= 8 – 2x2 - y2.
7. Find the volume of the solid region that lies under the surface 2 = ry and over the region in the xy plane bounded by the curves y = 2r and y = r A. 4/3 B. 8 C. 8/3 D. 32/3 E. none of the above 8. Evaluate SSSE Vx2 + y2 dV where E is the region bounded by the paraboloid z = x2 + y2 and the plane z = 4. A. 87 B. 327 c....
Question 3 1 pts Calculate Sw y DV using cylindrical coordinates, where W is the solid: z? + y2 < 4, 2 > 0 y 0, 0 <z<6.
#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...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple integral D and Triple Integral Region R Remember that: H(u, t, u)|J(u, v, w)ldududu F(z, y, z)dV Preview t lower limit Preview น upper limit- U lower limit Preview upper limit w lower limit upper limit H(u, o, w)- Preview Preview Ila Preview H(u, e, w)J(u,v, wdudedu Hint: The focus of this problem is on evaluating the integral and using the Jacobian.
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple...