Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z) = 4yz and below by the z-axis over the interval (0, 16]. Find the center of mass of the region. Assume that the region has a constant density & (2,9) Note: your answer should be an ordered pair.

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A: Given query is to find the the transformation applied.

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A: We can find the complement as below.

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A:

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A:

Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

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A: Given that, There are two differential equations following, (i). y'' - 3y' - 10y = 5e-2x (ii). y'' +...

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A:

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A:

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A: Given Revenue R=$4000  

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Q: Evaluate the following definite integral: dx = 12

A:

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

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Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

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A: length ofrod = 1 inches density of rod ρ=4x lb/in

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A:

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A:

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A: The solution is given in the next step.

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A: Given that:                        

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A: integration

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A:

Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

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A:

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A: Topic = Functions

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A: We can solve the integral as below.

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A: Given that:                  

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A: Topic:- series   

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A: Solution: f(θ)=12cos2θ

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A: Given query is to find the the value of x where f(x) has asymptot.

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A:  In this integral,  you can see cosy2 has exponent 4 and siny2 has exponent 1. To solve this integra...

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A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

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A:

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

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A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy  

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Q: 2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does...

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

A:

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane...

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A:

Q: Finding the length of a curve. Arc length for y = f(x). Let f(1) be a smooth function over the inter...

A: The given function f(x)=253x32-8 over the interval 3,5

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A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

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A: This is a basic problem of calculus

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A: Topic = Coordinates geometry Correct option = C

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A: We will find the integral's value. 

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A: limx→76x2-x+12x2+3x-1