dt d Ət u(t) = 6 u(t) + 2 v(t) v(t) = 2 v(t) — 7 u(t)

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Q: VX(VXF) =V (V.F) -v?F 0 صواب İhi

A: In this question we have to find the given property of curl f and del is true or not.

Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: f(t) = 5e-2t + calculate the LT. +² 2'

A: Laplace transformation of the function

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Q: Suppose that u · (vxw) = 47. Find u. (wxv). u. (wxv) = i

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: r(t) = 2t²1 - 4tj + 2t³k (a) r(t) (b) r"(t) (c) r(t)r"(t) (d) r(t) x r"(t)

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Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

A: Given: Fx,y,z=xy j+6xyz k To find the  cross product of ∇×∇×F

Q: sider the vector-valued function R(t) with Ả(1) = (1,2,−1) and Ř'(t) = = 1 2 (²²/7/7 - 2) - Find…

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Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: If WX = 3t - 45 and VY = t, what is Y? W V Y こ

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Q: fo Find mini

A: Given :   fx, y=x+y+27xy

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) = 2t²1 - 4tj + ²t³k (a) r(t) (b) r"(t) (c)…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: Calculate fw(-1, 2, 0, – 1) where f(x, y, z, w) = xy²z – xu? – e2²-y²–2²+2w=

A: Given that fx,y,z,w=xy2z−xw2−e2x2−y2−z2+2w2 To calculate: fw−1,2,0,−1

Q: af Calculate at point (-1,2) where f (x, y) = 8+ x² + 3y? dv and v = i+j. 10 2 5/2 V2

A: fx, y=8+x2+3y2  &  v=i+j Partially differentiating with respect to x, we get fxx, y=0+2x+0=2x…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 2t²1 - 4tj + (a) r(t) (b) r"(t) (c)…

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Q: s(t)=t3-10t2+6t-11 , where t in s, s in m, and East + / West  . Determine its: a) average…

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Q: Let f(x, y) = 2x² + 4y² + 2xy+ 10x + 3y + 9 Find D = frr · fyy - i

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Q: Use a substitution of u = r to integrate : dr.

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Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

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Q: 8. Given the function f(x, y) = In(x -y) , the vector i = (2,3) and the point in the domain (1, 0).…

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Q: If z = f(x, y) and z4 – x² = x²y²z? əz Find: dx az and dz ie

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Q: uppose that x + y = 2. What is y" at the point (1, 1)?

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Q: Q1. Find the vector function r(t) given that r(0)= i+2j. and r'(t)= (2et, 3t², 4 cost)

A: The given data is: r0=i+2jr't=2et, 3t2, 4cost Find the vector function rt

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Q: Let f(x, y) = xty¬4. Estimate the change Af = f(4.03, 2.9) – f(4, 3) using the equation below.…

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