The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2 Inle2x - e¯²x|+C {D} 2 Inle2x-e-2x | + C

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A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

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Q: Solve using Integation by Paats ond paove 2.

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Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

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Q: Solve for z (3+i)z- 2 = 2z + (4 - i)

A: see below the calculation

Q: Va2–x2 ху(х + у)dydx

A: To evaluate the given double integral.

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Q: 3x dz Find x- : +y , if z == 3x-4y dz ду За — Answer:

A: Explanation of the answer is as follows

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Q: Evalute ) (2xty)dA, where D=2C2-1にと」 225y41tX)

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Q: tim D1R (++)) + om 1 Im te i ned d

A: limn→∞((n1+n)α+sin(1n)),foralln∈Qnow ,We recall some…

Q: 6x* – 17x2 +5=0 The solution set is ITvpe evact answers ucing echoalo

A: I use middle term splitting/AC method to find solutions

Q: 2. Z=f(x,y)= Zx- 2xy+y" %3D h-Xン)1 2x<yミ4,05x<2 Find absolute max and min Draw a a graph

A: We will manipulate the constrained inequalities to form the function f(x,y) and from that we will…

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Q: dz Evaluate V9z? – 25

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Q: the Vectos if linearly. Determine independent answer 1. -3 3.

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Q: Show that rcjs0 = rcjs(-0)

A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

Q: all work to get credit. All parts (5)/(x+3)=(x-1)/(4)

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Q: A manufacturer of hot tubs makes two kinds of hot tubs - Bill and Jane. Bill requires 8 hours of…

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Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

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Q: 41: find second kinearly ndegendent solution wing reduetion of order.

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Q: b. Solve the following problem after finding its dual. Min z = xL 3x2 + 3x3 St. 3x1 - x; + 2 x3 < 7…

A: Primal is :  MAX Zx =   x1 - 3 x2 + 3 x3subject to3 x1 -  x2 + 2 x3 ≤ 72 x1 + 4 x2    ≥ -12- 4 x1 +…

Q: 2. Aygabe a) -1 3x 3 A = -1 -1 Determine A1 X = 0.

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Q: -3-X, -3y, -3z]

A: We have to find div(V) from the given