The velocity function is v(t)=−t^2+3t−2 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,6].

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A: Given that

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A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

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A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

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A: To determine the maximum error in the area.

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A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of…

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Q: If =4xy, find x and y components of the velocity at (1,4)  and (4,4). Calculate the discharge…

A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…

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Q: Find the equation of a that has a y" = 4 if it has a slope of of 3 Curve Second derivative %3D at…

A: equation of the curve  is given below...

Q: The dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

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A: As per our company guidelines we are supposed to answer only first question. Kindly repost rest of…

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A: Exact differential equation

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Q: Find the slope of the line tangent to the graph of x2+2xy2+3y=31 at th epoint (2, -3)

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Q: Use a linear approximation (or differentials) to estimate the number V100.5

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Q: Please use the conjugate gradient method to solve min구 + z. (): with the starting point r1)

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. F(x,…

A: SOLUTION-

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