Question 4 Find the volume beneath z=f(x,y) and above the region described by the rectangle with...
Find the volume beneath z = f(x,y) and above the region described by the rectangle with vertices (0,0), (2,0), (2,3), and (0,3). f(x,y)=4x^2+9y^2 Hint: compute the double integral required to find the volume under f(x,y) using the limits of integration given by the region on the x-y plane.
7. Find the volume of the region in space, the region beneath z = 4x2 + 9y2 and above the rectangle with vertices (0,0), (3,0), (3,2), (0,2) in the xy-plane. Sketch it 7. Find the volume of the region in space, the region beneath z = 4x2 + 9y2 and above the rectangle with vertices (0,0), (3,0), (3,2), (0,2) in the xy-plane. Sketch it
can y'all help with with these 3 please!! Thank you!! Question 1 Find the volume beneath z = f(x,y) and above the region described by the triangle with vertices (0,0), (4,0), and (0,4). f(x,y)= -x-y+c ; use c = 7. Hint: compute the double integral required to find the volume under f(x,y) using the limits of integration given by the region on the x-y plane. Question 2 Prove that F is a gradient field and determine the work of F...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy...
Find the volume of the solid bounded above by the surface z = f(x,y) and below by the plane region R. f(x, y) = x2 + y2; R is the rectangle with vertices (0, 0), (9, 0), (9, 6), (0, 6) ( ) cu units
1. Find the volume of the solid. Under the plane x +2y-z=0 And above the region bounded by y=x and y=x+.Using double integral.
Find the volume under the given surface z=f(x, y) and above the rectangle with the given boundaries. ху 2 1sx52, 1 sys4 - (x² + y2) 2 Evaluate the integral with the given bounds Sl car mes3 duay = 0
(a) Find the volume of the solid under the paraboloid z x +3y2 and above the triangle with vertices (0,0), (4, 8), (8, 0). (b) Find the average value of (.y)-yover the rectangle with vertices (4,0), (-4,3), (4,3) (4, 0) (a) Find the volume of the solid under the paraboloid z x +3y2 and above the triangle with vertices (0,0), (4, 8), (8, 0). (b) Find the average value of (.y)-yover the rectangle with vertices (4,0), (-4,3), (4,3) (4, 0)
1. Centroids: Determine the area and location of the centroid X and Y of the following shape using double integrals and polar coordinates. Use the angles in radians. Use b=4 inches 300 450 A x area = ſſ dxdy 1. Centroids: Determine the area and location of the centroid X and Y of the following shape using double integrals and polar coordinates. Use the angles in radians. Use b=4 inches 300 450 A x area = ſſ dxdy 2. Parameterization...
Find the volume of the region under the graph of |(1 point) Find the volume of the region under the graph of f(x, y) = 4x + y+ 1 and above the region y2 < x, 0 < x < 9. volume |(1 point) Find the volume of the region under the graph of f(x, y) = 4x + y+ 1 and above the region y2