Find the length of the function r = (9-2t, 4 + 2t, √2t²) on 0 ≤ t ≤ 1. For the vector function from the previous problem, what is T()

Q: Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the…

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Q: Force F in rectangular x-y components is given by F = -25i + 28j [N]. Determine the non- rectangular…

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Q: дz дz \f z = f (x, y), find and for the following equation ?х ду z = (x2 + xy3)4

A: Let Using the chain rule, and

Q: Use Lagrange quadratic polynomial to estimate the value of y at x = 1.5 from the data points (0,…

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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,…

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Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: 144y+312y+ 169y= 0. y(0) = 6. (0) = 6. %3D %3D

A: Let the given differential equation be, 144y''+312y'+169y=0 Assume the solution of the differential…

Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Determine the domain of the following vector function

A: Step 1:Step 2:

Q: Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your…

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