Problem No. 2 From the given diagram, find the centroid of the irregular plate body with respect to the given point of axis. y² = 2x 2 m Given: Fomula to use: JdA JdA 2 m 2 m

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: Consider the equation below. 4x2 + y2 + 4z2 − 4y − 32z + 64 = 0 Reduce the equation to one of the…

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Q: Evaluate (x + y?) dx + 3x dy, where C consists of the arc of the parabola = y? from (1, 1) to (4,…

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Q: -10. Determine the location (x, y) of the centroid of the 9-10. criangular area. y = mx a

A: We have to find the coordinates of centroid of the given triangle.

Q: 3t4 + t - 2t,y = 1. Find all points (coordinates), if any, on the curve t3 3t2 at which the tangent…

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Determine the y-coordinate of the centroid of the shaded area shown. 16" Parabolic Y 5" 1 Answer: y…

A: Solution :-

Q: We want to build an elliptical tartan track with semi-axes a = 200 m and b = 100 m and inside a…

A: Given, an elliptical tartan track with semi-axes a = 200 m and b = 100 m and  inside a rectangular…

Q: A yo-yo is made from a sphere by removing a slice from its center, as in Figure 6.35. Suppose the…

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Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

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Q: Cylinder ytZ =1 and plane X-y=0 are given. find the curve that is their intersection and specify the…

A: If we plot the curve y2 + z2 = 1, we get  and if we plot x-y = 0, we get

Q: Given hyperbola   x2   −   y2   = 1   9         16       how do you determine the focal length?

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Q: If IG = 27, find C'I. 24 D 38

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Q: 9. Find the center and the radius for the sphere: x² + y2 + 2²-6y + 8z = 0.

A: Given, Equation of sphere is x2+y2+z2-6y+8z=0                   (1) Since general equation of sphere…

Q: 1. The surface of a cone is found with the formula S= arr2+ h2. Find h for the cone below. Use =…

A: Surface area of a cone can be found by πrr2+h2 for r to be radius of base and h is the height.

Q: A hemisphere of x? + y? + z2 = a? is shown. A cylinder is placed such the axis of both hemisphere…

A: Surface area is given by ∬D∂z∂x2+∂z∂y2+1dA for a functionz=f(x,y) where D is the projection of the…

Q: 3. The point D is the centroid of AABC. Find the value of the distance DC if : GD = 2x – 8 and GC =…

A: It is known that the centroid of a triangle is the point at which the 3 medians of the triangle…

Q: xy = 4

A: Solution

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: QUESTION 5 What are the x-traces of the surface x2+ y2 +z=5? O a. Circles. O b. Elipses. O.…

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Q: Fred the snail is crawling in an annulus whose inner radius is a and whose outer radius is b. P and…

A: We will find out the required values.

Q: A company that sells copier machines has collected data from 45 recent calls on users to perform…

A: Given that,  X = number of copiers serviced, Y = total number of minutes spent by service person,X¯…

Q: Circular Disk Method 1. R: y = √?, y = 4, y- axis               axis of revolution: y = 4

A: 1 Given that R:y=x, y=4, y−axis and axis of revolution is y=4. We have to find the volume of the…