LA -5 3.) Find the volume of the solid whose base is the region bounded between the curve y=x²-x-3 and y = x and whose cross sections taken perpendicular to the x-axis are depicted by each of the following shapes. b.) semicircles Sty -5 1 d.) equilateral triangles } a.) squares c.) rectangles whose heights are half the base width e.) isosceles right triangles where the base is the hypotenuse

Q: Find the volume of the pyramid (tetrahedron) with vertices at the points: A(-3,2,1), B(12,-1,0),…

A: Given vertices of the tetrahedron: A-3,2,1, B12,-1,0, C3,1,0 and D1,1,5 a) The vertices can be…

Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1²…

A: surface area of the surface given by equation z=f(x,y) A=∫∫Dfx2+fy2+1dA D is the region on xy plane

Q: Consider the right circular cone with radius r and height h. In this problem you will show that the…

A: We will use disk/ ring method to find volume for solid of revolution

Q: 4.) Find the height of a cone that has radius 2 cm and volume 23 cm³.

A:

Q: a) Determine the area of the largest rectangle that can be drawn in the region between y= x3, the…

A:

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î +2j-7k…

A:

Q: 2)Find the area between y2=x and y=X-2 by using: a) Vertical strip. b)Horizontal strip.

A: First we need to identify the region which bounded by these two curves. With the help of the sketch…

Q: Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular…

A:

Q: Draw the image of quadrilateral ABCD under the dilation with scale factor -0.5 and center of…

A: Let (x,y) be a vertex of the figure.Translate so the origin becomes center of the dilation (1,2),…

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: Choose two figures which are topologically equivalent to each other 20 L.

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Q: x=linspace(1,5*pi/3,50); y=linspace(-pi/2,pi/2,50); z=3*sin(x)^2+y^2+7; how many square units of…

A: The given function is z=3y2sin2x+7 and x=1,5π3,50 , y=-π2,π2,50. To determine: How much fabric is…

Q: Calculate the total area of a right prism knowing that its bases are rhombuses with diagonals D=26cm…

A:

Q: Q:A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular…

A: In this question, we need to calculate the height of cone of which bucket is a part, volume of water…

Q: Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is…

A:

Q: 6. The part of the surface z = 1 + 3x + 2y² that lies above the triangle with vertices (0, 0), (0,…

A: Given: A surface z=1+3x+2y2 and vertices of triangle (0, 0), (0, 1) and (2, 1). To find: Area of…

Q: The square region with vertices (4,0), (0, 4), (8, 4), (4, 8) is revolved around the line I = -8.…

A: Consider the given points. First draw the points on the plane. Calculate the coordinates of the…

Q: Find volume of square revolved around y-axis given following points: (4,5), (4,1), (6,3), (2,3)

A: We need to find the volume of the solid formed when the above square revolves around the y-axis.…

Q: 1) The area of zone (B) is 4500 m2, find the area of zone (A). shape (A) is regular, (B) is a half…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: #7) Find the surface area of the prism 3 cm

A: