Problem #1: Find the volume of the solid bounded by the graphs of x2 + y2...
Problem #3: Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z = 74 – x2 - y2 and z = 10. Problem #3: Enter your answer symbolically, as in these examples
2x2, Problem #2: Find the mass of the solid bounded by the the graphs of y = y = 4, z = 0, and z = 5, in the first octant, if the density at a point P is equal to 8 times the distance to the yz-plane. Problem #2: Enter your answer symbolically, as in these examples
number 4 Problems 2-4 Sketch the region bounded by the graphs of the equations, and find its volume using double integrals (2) Solid bounded by coordinate planes and the planes x-5 and y + 2z-4 0 (3) z = x2 + 4, y = 4-хг, x+y=2, and z=0 4) First octant of z-x + y ( 2, y = 4- 0, an Problems 2-4 Sketch the region bounded by the graphs of the equations, and find its volume using double...
Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis. 17)x= x=0, between y=- 4 and y = 4 17) 18) bounded by the circle x2 + y2 = 16, by the line x = 4, and by the line y = 4 18) Find the volume of the solid generated by revolving the region about the given line. 19) The region in the first quadrant bounded...
Find the volume of the solid bounded by the cylinder x2 + y2 = 1, and the planes 2x + 3y + 2z = 7 and 2 = 0 (Note: Remember to type pi for 7. Also keep fractions, for example write 1/2 not 0.5.) V= M
please solve 9 and extra credit: find the volume of the solid bounded by the three coordinate planes and the plane 6x + 8y + 2z - 24 = Problem 9. Find the largest possible volume of the rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane 3r +y+2z 12. Problem ro. Compute the integral (sncos y)drdy. Extra Problem. Find the volume of the solid bounded by the three coordinate...
1. Find the absolute maximum and minimum values of f(r,y) = x2+y2+5y on the disc {(x, y) | x2+y2 < 4}, and identify the points where these values are attained 2. Find the absolute maximum and minimum values of f(x, y) = x3 - 3x - y* + 12y on the closed region bounded by the quadrilateral with vertices at (0,0), (2,2), (2,3), (0,3), and identify the points where these values are attained. 3. A rectangular box is to have...
Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z = 9 – x3, y = -x2 + 2, y = 0, z = 0, x ≥ 0Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p bounded by the graphs of the equations. Find y using p(x, y, z) = ky. Q: 5x + 5y + 72 = 35, x =...
Find the volume of the region in the first octant bounded by the coordinate planes , the plane y+z=3, and the cylinder x=9-y2
Find the volume of the solid in the first octant that is enclosed by the graphs z=1-y2 , x+y=1 and x+y=3. Sketch. -> USING Z-SIMPLE <- *** NOT using x-simple. ***