Use double integral to determine volume Volume - SS f(x, y)dA Let try this question :...
Use double integrals to calculate the volume of the tetrahedron bounded by the coordinate planes (x= 0, y = 0, z = 0) and the plane 7x + 5y +z-35 0. Find the double integral needed to determine the volume of the region. Set up the inner integral with respect to y, and the outer integral with respect to x. Use double integrals to calculate the volume of the tetrahedron bounded by the coordinate planes (x= 0, y = 0,...
Construct and evaluate a surface integral that represents the work done by the vector field F(x, y, z)-(x, 2z, 3y), around the triangular section of the plane 2x + y + z traversed counterclockwise. 8 in the first octant Construct and evaluate a surface integral that represents the work done by the vector field F(x, y, z)-(x, 2z, 3y), around the triangular section of the plane 2x + y + z traversed counterclockwise. 8 in the first octant
plz onstruct and evaluate a surface integral that represents the work done by the vector field 8 in the first octant F(x,y,2)(x, 2z,3y), around the triangular section of the plane 2x+ traversed counterclockwise. onstruct and evaluate a surface integral that represents the work done by the vector field 8 in the first octant F(x,y,2)(x, 2z,3y), around the triangular section of the plane 2x+ traversed counterclockwise.
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...
Evaluate the double integral || f(x, y) dA over the region D. JU f(x, y) = 6x + 9y and D = {(x, y)SXS 1, x3 sy s x3 + 1}
QUESTION 4 Evaluate the double integral. 6x2 - 3y) da, where R = [(x, y)/05 x 54 and 1sys 3) -304 304 208 -208 QUESTION 5 T F(x, ) dx dy 1. Change the order of integration of S F(x, y) dy dx Click Save and Submit to save and submit. Click Save All Answers to save all ans esc
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.
solve problem 3 SHOW ALL L Use Lagrange multipliers to determine the extrema for ((x, y) = x'y subject to x' = 32 - 4y 2 Ji 2. Rewrite the integral by reversing the order of integration: [[ g(x, y)dydx Sf+y'd4 Ry=x, x= 0, y=0, y=1 3. Given: ffr/x +y°d4 Set up the problem Type I and Type II. (Do Not Solve) 4. Use Double Integrals to find the volume of the solid in the 1st octant enclosed by the...
7. Evaluate the following integral by converting to polar coordinates: S], 127 (2x – y)dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x. 8. Find the surface area of the portion of the plane 3x + 2y +z = 6 that lies in the first octant. 9. Use Lagrange multipliers to maximize and minimize f(x, y) = 3x + y...
Question 7 5 pts each Write iterated integrals for each of the given calu lations. Do not evaluate. (A) The integral of f(x, )212y over the domain D: 2 y 20. (B) The integral of f(x, y, z) = 12x + 3 over the volume contained in the first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the sur faces x2 + y2 + Z2 = 16 and z...