Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal places. = 27-33-k for the function − x² + 5xy + 5y² + 3x − 3yz + 4z² + xz.

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A: We need to describe arc length.

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Q: eln9

A: Given:- eln9

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Q: Find r(t). u(t). r(t) = (3t − 6)i + ¹⁄t³j - + 1⁄2 +³₁ + 2k u(t)= t²i6j + t³k r(t) u(t)= 2

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Q: Determine R(t) if R' (t) = (2e²t-4,) and R(2) = (3, −5,0).

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Q: Given f(x) = e. Atx=6 Find the tangent line to the given curves at the indicated point

A: See this solution in below.

Q: Determine R(t) if R'(t) = <2e2+-4,4 =-1) and R (2) R (2) = <3₁-5,0).

A: To determine R→t if R'→t=2e2t-4, 6t2, 1t-1 and R→2=3, -5, 0.

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Q: 2) Solve 2y" +5y' = 10, where y(0) = 1, y'(0) = 0. (hint: use integrating factor)

A: Given :solve 2y" + 5y' = 10 , where y(0) =1, y'(0) = 0

Q: Question Determine t' (x) if t(x) t'(x) t' (x) Select the correct answer below: = = Ɔ t'(x): ○ t'(x)…

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Q: Only

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Q: Identify a technique of integration for evaluating the following integrals. If necessary, explain…

A: I am attaching image so that you understand each and every step.

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Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.

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Q: 3. y' = sin(t + y)

A: Y'=sin(t+y) dy/dt=sin(t+y)......1 Let  v=t+y  Differentiate with respect to t

Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function

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A: Given that , y=fx=e-10xx4+1 find the equation of the tangent line of inverse of f at 1,0.

Q: r(t) = Make a plot that verifies your result. = St²+2t2 if t≤ -3 {at + b if t> -3 Find a and b such…

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

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Q: Write an equation (any form) for the quadratic graphed below 5+ y = 3 2 1 -5 -4 -3 -2 -1 + -2 -3 1 2…

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Q: 1. Find the double integral over the region R bounded by the functions. Choose the more convenient…

A: To find:- ∬Rx3y2dA ; y=x,y=0,x=1 ∬xeydA ; y=x,y=0,x=1 ∬RxydA ; y=x2+1,y=3-x2