(c) Given the curve C: y = Vx - 2 and the line L:x+y =4. Sketch the region bounded by the curve C, line L, the x-axis and y-axis. Hence, find the volume of the solid of revolution when the region is revolved completely about the y-axis.

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line…

A: Follow the procedure given below.

Q: 2. (a) Based on the diagram 1, find the intersection points between curves y=r' and Hence, find the…

A: The point of intersection of two curves is the place where the two curves meet.y=f(x) To find the…

Q: The region bounded by the curves y² = 8x and 2y = x³ is revolved about the line y-axis. Find the…

A: Given the curves y2=8x, 2y=x3 revolved about the line y-axis.

Q: The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is re- volved…

A:

Q: Find the volume of revolution of the region bounded by the curves x = (y-2)½, y = x + 4, and y-axis…

A: Plot the graphs:

Q: Use the method of your choice to find the volume of the solid generated by revolving the region…

A:

Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)° = 4(y + 2)…

A:

Q: Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f(x) =…

A:

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: (a) Between 1 and the disk x²+ (1+x² +y*) (b) Between % = 1 and the entire xy-plane. (1+x* + y?)*

A:

Q: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by y =…

A:

Q: 3- a) Find the area of the region in the first quadrant between, y = IN and y = 1/4x² 2 b) Find the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y² 4x and the…

A: Recall formula for volume of revolution

Q: b. y = 1, y = 1, y = 0 and z = 3; revolved about the r-axis (1. (3, 1) 0, 0) (3, 0) -1. y=0 -1. -2.…

A: Disk method : The volume V of the solid formed by plane are y=f(x) in the interval [a,b] about…