Find the mass and center of mass of a wire in the shape of the helix x = t, y = 2 cos(t), z = 2 sin(t), 0 sts 2x, if the density at any point is equal to the square of the distance from the origin. mass (5. 7.2) = | center of mass

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A: Given: ∫Cy-zds C is the helix 4cost, 4sint, t , for 0≤t≤2π. Simplifying it: ∫Cy-zdsrt=4cost,4sint,…

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A: To set up the integral to calculate the total work to pump the water 10 ft above the given tank.

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A: This is a question from Application of calculus.

Q: Can i get step by step help with problem

A: To write the relationship

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A: 1.Here given vector A=4x+3y-2z |A| =(x2+y2+z2)1/2 Here x=4,y=3,z=-2 |A|=(16+9+4)1/2 |A|=√29

Q: 3 Find the mass of a wire that lies along the curve r(t) = ( - 4)j+2tk, 0sts1, if the density is 8…

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Q: valuate the integral. (Use C for the cons

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Q: 4) If a wire in the shape of the helix: x = 2 sin t,y = 2cos t,z = 3t;0 <t < 27, and the density is…

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Q: Given the area bounded by the parabola x– 4x + 12y - 20 = 0, the x-axis and the lines x = 1 and x =…

A: ∫ (y^2)dx is the formula for moment of inertia