4. Compute the total volume of the shaded area of the figure below where the cross-sections are circles. Show complete solution. y = r² (2,0); y = -2² (4,0)

Q: 2 = √x²+y²² with cone +2=4 Find the volume between the spheres. draw the shape. x²₁y² +2²=2

A: We need to find the volume between the cone z=√(x^2+y^2) and the sphere x^2+y^2+z^2=4

Q: 3. Find the area of the region between y = x2 and y = 2x; approximate the area of the region using…

A: We have to solve given equations for x limits

Q: An open box with a volume of 108 cubic feet and a square base is to be made from sheet metal. Find…

A: Given: Volume of  square base open box=108

Q: Find the area of the shaded region. (-5е — 5) 2 y 14 (1, 5e) 12 10 y = 5 e 8 6. 2 y = 5xe -1.0 -0.5…

A: The area of the given shaded region which is bounded by the curve y=5ex , y=5xex2  and x=0  is…

Q: Determine which graph corresponds to the area enclosed by the curves y = 5x² and y = x² + 3. O 9 8 7…

A: Given functions , y = 5x2 y = x2 + 3 To be found : Area enclosed by the two curves.

Q: 20 cm 12 cm

A: given in a cylinder,radius (r)=12cmheight(h)=20cmthereforesurface area…

Q: 3. Find the area of the region enclosed by the line y = x - 1 and the parabola y² = 2x + 6. Graph…

A: Solution is given below:

Q: Sketch the region enclosed by y = 7x and y 87². Find the area of the region. =

A: Area of the region enclosed

Q: Find the area of the region bounded by the graphs of the equations. y = 5x2 + 3, x = 0, x = 2, y = 0

A: We have to find the area.