Can you please answer this question in steps. Thank you
Can you please answer this question in steps. Thank you (2) Consider the body which lies...
How to solve this whole question? 1 and r2 + y2 = 4 for 4. (a) Consider the region, R, bounded by the curves _ = 3c + 4y2 y 2 0. Using a double integral determine the volume under the surface and above the region R. Sketch the region of integration R. (b) Express the double integral (or integrals) that defines the area of domain of integra- tion R, where the inner integration is defined over the y-variable (c)...
please help with Q1 and 3 1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and below the cone z -Vx2 + y2 (a) Sketch the region V (b) Calculate the volume of V by using spherical coordinates. (c) Find the surface area of the part of V that lies on the sphere z2 y 24, by calculatinga surface integral. (d) Verify your solution to (c) by calculating the surface integral...
#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...
CALCULUS Consider the function f : R2 → R, defined by ï. Exam 2018 (a) Find the first-order Taylor approximation at the point Xo-(1, -2) and use it to find an approximate value for f(1.1, -2.1 (b) Calculate the Hessian ã (x-xo)' (H/(%)) (x-xo) at xo (1,-2) (c) Find the second-order Taylor approximation at Xo (1,-2) and use it to find an approximate value for f(1.1, -2.1) Use the calculator to compute the exact value of the function f(1.1,-2.1) 2....
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....
Please answer number 6, and show and expkain your steps thank you 6. Find the absolute maximum and minimum values of fon D, where f(x,y)= x’ – 2xy +2y and D={(x,y)|05x53,0 sys2}. 7. Evaluate the integral [[ V«?+1d4, where D is the region bounded by the lines D y=0 and x =1, and the curve x= vy. You must evaluate this integral by hand and show all the steps that lead to your answer. Give the exact answer.
please solve this question showing all the steps clearly Question 1) (3 marks) Sketch the region of integration on the x- y plane and find the volume of the region R in the first quadrant, bounded between followings: From above by Vy? +1 and from below by the lines: x = 0, y = 1, y = Vx.
q5and 6 please. as much detail as possible please i need to learn how go solve these (3) Evaluate the double integral where D is the region in the lower half-plane lying between the circles 2+y2-1 and (4) Evaluate the iterated integral sinda dy. (5) In the ry-plane, let D be the region bounded by the graphs of z ty 3, 0, and 0. Find f(x,y) such that z f(x,y) defines a plane in R3 and y (6) Consider the...
Do both questions and show all steps for good rating. Thanks. 7. Set up an iterated double integral to compute the volume of the solid bounded above by r2 y and below by the region R that is a triangle in the ry-plane with vertices (0,0), (0,3) and (5,3). z = (8) Do not evaluate. Exam 2-u ath 260-01 8. Set up a double integral in polar coordinates to find the volume of the solid bounded by zry 2 =...
Please show full solutions so i can understand 3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D. 3. (i) 3pl Set up iterated integrals for both orders of...