2. Make a question to find the volume of a solid with known cross-sections, whose base lies between two graphs and you must find the point of intersection between the two graphs to find the bounds of integration. each graph should contain at least one In In x, log x, a* , function, or rational function. Cross-section e*, inverse trigonometric shape can be: square with side on base, square with diagonal on base, equilateral triangle, с)

Q: x= 3+ y^2,x=2- y^2, y = 1, y = -2 O 7 sq. units O 8 sq. units O 9 sq. units 10 sq. units

A: We have to evaluate the area bounded by the curves x=3+y2 and x=2-y2 and the lines y=1 and y=-2. We…

Q: Q1) Estimate the area under the graph of f(x) = x² + 1 from x=1 to x=3 using four approximating…

A:

Q: y = -x^2 + 4x, y = x^2 - 6x + 5, x=0, x= 1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units…

A: We have to find the area of the bounded region.

Q: Consider the image attached of the graphs of y = (1/2)x + 5 (what the red line represents) and y =…

A: Given y=12x+5  and y=x

Q: Find the area enclosed by the graphs of a = f(y) = y³ - 26y + 10 and x = g(y) = 40 - 6y² - y³. (a)…

A: Given:The functions are  and To Find:(a) The intersection point(b) Functions that are to the right…

Q: When calculating the volume of a solid when revolving on either axis, if a particular axis is not…

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Q: A radioactive bar of radius 5cm and length 2m is submerged along the central axis of a cylindrical…

A:

Q: A rectangular box which is open at the top can be made from an 6-by-30-inch piece of metal by…

A: A rectangular box which is open at the top can be made from an width 6inch and length30Inch piece of…

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: Given that, The dimensions of a rectangular box are following, Height (H) = S Length (L) = 2H = 2S…

Q: y = -x^2 + 4x + 3, y = -x^3 + 7x^2 - 10x + 5, x = 1, x=2* 4.083 sq. units ○ 4.183 sq. units O 4.283…

A: We know that the area between the curves can be evaluated by double integration method. We will find…

Q: What is the volume of the solid formed in part III?

A:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: Total surface Area of box = 2(lb+bh+hl) Where l is length  b is breadth h is height .

Q: Find the volume of liquid needed to fill a sphere of radius R to height R/5 The answer I have is…

A:

Q: Let the region R be the area enclosed by the function f(x) = 2x³ , the horizontal line y = –3 and…

A: Given the region R be the area bounded by fx=2x13,y=-3,x=0,x=3. Visualize the solid: Each…

Q: Find a formula for the described function and state its domain Express the surface area of a cube as…

A: Consider the provided expression, Let V be the volume of the cube with length side a. V=a3 So, the…