Select all possible cross sections that could be created from the cylinder below.

Q: Find the between the porabolas area 2. X+2 メ+ 2.

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Q: Sketch the graphs of the following cylinders. Properly identify a cross-section on the appropriate…

A: Given: Let's consider the given equation and graph the following cylinders. y=2x-4

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: When rotated about the x -axis or about the y -axis, some of the rectangles shown in the coordinate…

A: We know that rotating a rectangle around x and y axis will create a cylinder. We will write height…

Q: The centroid of the half-ellipse-shaped-cross-sectional area shown is given by: 4 Ye 9 - 25m9-y² dy

A: Given half ellipse shaped cross section is:…

Q: For a paraboloid with two sheets, how do you find the shortest distance between the sheets in a…

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Q: What is the exact area of the sector?

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Q: Find the Center and radius ofthe cirde. h+h+x+ X %3D /2

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Q: a penny of 0.75 inches in diameter is randomly dropped 100 times on a board with gridlines. The…

A: Given The diameter of a penny d=0.75 inchesThe total number of drops on a board with grid lines…

Q: What is the area of the conic (x + 3) + y 25

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Q: An engineer takes a large number of independent measurements of the length of a component and…

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Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: Find the exact sülution fur ylz Xtzy

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Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

Q: he segment AB by a scale factor of using point C as a center of dilation. Cons figure on the…

A: Please refer to the image below

Q: twelve equally spaced holes must be drilled on a 11.300 in. diameter bolt circle. what is the…

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Q: Find the sccond derivate Of the finctron Y =2*. Inx

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Q: The area bounded by the parabolas (x − 2)^2 − 9py=0 and y^2=9p(x−2) is to be revolved around x = 2.…

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Q: What is the maximum volume of a cone that would fit this box?

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Q: If rectangle DEFG is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be…

A: now co ordinates of D are (-2,-1) After dilation scale factor 3  centre not change  multiply by 3…

Q: Determine the center and the radius: X2 + Y2 + 2X +10Y + 1 = 0 O (-1,-5) Radius 5 O (1,5) Radius 5 O…

A: Topic-circle

Q: Which of the following is the cross-section of this solid?

A: Find the cross section area

Q: A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light…

A: Given: The window consists of a rectangle surmounted by a semicircle. Let b be the breadth of the…

Q: Find the arclength of y = 2x /2 on 1 < ¤ < 3 2x3/2 uostion

A: given that y=2x3/2. we need to find the arc length in the interval [1,3] the arc length formulae is…

Q: Distinguish briefly the Skewness and kurtosis

A: Skewness is a measure of symmetry where symmetry means equal proportion to the left and right to the…

Q: Find the mZR in trapezoid QRST where QT||RS below.

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Q: = Boosi 28

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Q: If the infinite curve y = e-2x, x 2 0, is rotated about the x-axis, find the area of the resulting…

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Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: Find the distance between the points (−2, 2), (4, −6) using (a) the Distance Formula and (b)…

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Q: Find the exact length of the curve. x = e' +", Osys 4

A: Given function is  x = e^y +(1/4)e^-y

Q: What is the area of a sector ACB? Leave your answer in terms of T. A 10g 5ft

A: Given Radius, r = 5ft.  And angle theta = 108 degree

Q: Determine the natural cubic spline that interpolates the data f(0) = 0, f(1) = 1, f(3) = 4 %3D and…

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Q: The measurements x1 - 10m, x2 - 8m, and x3 - 6m represent the sides of a rectangular parallelepiped…

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Q: Find the minimum length l of a beam that can clear a fence of height h=3 ft and touch a wall located…

A: Consider the figure for the right triangles.Let angle B be theta.

Q: Which of these images would NOT be a cross-section of a cylinder?

A: Cross Section of Cylinder is

Q: y = x, y = vx; about x = 3

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Q: Find the distance between the points (2, 1), (5, 3) using (a) the Distance Formula and (b)…

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Q: If the area of the triangle is 25 square meter, the centroid of the shaded area shown in figure (4)…

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Q: Evaluate: |2 esin dx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

A: The given problem is to evaluate and approximate the definite integral using Trapezoidal method and…

Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry

Q: What is the general process to fit random 3D points to a surface?

A: Hint: Here 3D points are given we need to plot them on a surface. Write the general process to plot…

Q: Determine whether each of the following statements is true or false, and explain why Simpson’s rule…

A: Given statement is  Simpson’s rule usually gives a better approximation than the trapezoidal rule.

Q: © Calculate the distance to the auerage yraxis for poinits in D: (2,4)

A: Consider:                    y=x2   To determine:                   Average distance to the y-axis…

Q: A figure on d coordinate plane is dilated using the rule (x, y).

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Q: find the centroid of the thin plate bounded by thegraphs of the given functions. Use Equations (6)…

A: First, we need to find a mass of the plate.

Q: What is the surface of the box formed by the net above

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Q: determine the area of one leaf(petal) of the rosde curve r = 2sin(3Θ)

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Q: Find the areas of the regions Inside the six-leaved rose r2 = 2 sin 3θ

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.