Evaluate the integral by making an appropriate change of variables. SE 3 sin(49x2 + 4y2) da, where R is the region in the first quadrant bounded by the ellipse 49x2 + 4y2 = 1
3. Halle el dominio y dibújelo para f = 36 - 9x2 - 4y2
5. Use a triple integral to find the volume of the region Q bounded by the graphs of: z- 4y2, z 2, x 0, x 2. [Assume distance in meters 5. Use a triple integral to find the volume of the region Q bounded by the graphs of: z- 4y2, z 2, x 0, x 2. [Assume distance in meters
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
The region R is bounded by the x-axis and y = V16 – x2 a) Sketch the bounded region R. Label your graph. b) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. Evaluate the integral using polar coordinates for the region R. sec(x2 + y2) tan(x2 + y2) da c) R
d. 1127T Use the given transmaono he meg I y dA, where R is the region in the first quadrant bounded by the linm y xy3 the hyperbolas xy-x a. 4.447 b. 5.088 c. 3.296 d. 8.841 e. 9.447 6.Find the volume under z 3x+3y and above the region bounded by yand z 52 b. 52 32 C. d. 32 d. 1127T Use the given transmaono he meg I y dA, where R is the region in the first quadrant...
2) The region R is bounded by the x-axis and y = V16 - x2 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Ry region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. sec(x2 + y2) tan(x2 + y2) dA R
2) The region R is bounded by the x-axis and y = V16 - x2 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. sec(x2 + y2) tan(x2 + y2) dA R
Va2 y da dy The region A is bounded by the curve: 2+y=Va 3. Evaluate C 2102 dz dy dz 4. Evaluate The solid V bounded by surfaces: z = 1-2, z = y , y = 0 Va2 y da dy The region A is bounded by the curve: 2+y=Va 3. Evaluate C 2102 dz dy dz 4. Evaluate The solid V bounded by surfaces: z = 1-2, z = y , y = 0
2) The region R is bounded by the x-axis and y = V16 – x2. a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. S sec(x2 + y2) tan(x2 + y2) da R