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Q: 2x Ex FIND THE DERIVATI VES %3D

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A: integral of vector A = line integral (A.dl). First we will calculate A.dl along L3 and than we will…

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Q: Soru 6 dz Find when u= 1, v= 0 if z= sin(xy) + xsin(y), x = u² + v, y3 uv. av A 2 -1 D -2

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A: We use the formula to find the torsion :-

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Q: roduct directly and then by applying the formulas dr dr r(t) and dt dr, dr x ). dt Fi(t) - cos(t)i +…

A: Given r1t=costi+sintj+5tk, r2t=4i+tk

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A: Given: F(x,y,z)=2exyi-9cosyj+4sin2zk

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Q: 37. ( sen z + cos z cos z | (tag z + 1) dz = In sec x + z + C %3D (sen y dy cos' y 38. tag y sec y…

A: We know that ,  sen (y)  /  cos (y ) = tag y  And  1 / cos ( y ) = sec ( y )

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A: Given,           ∂2u∂t2-∂2u∂x2=0                       for 0<x<1, t>0      ...(1)u(x,…

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A: # we are entitled to solve one question at a time , please resubmit the other if you wish to get it…

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A: See the attachment

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Q: 5. Express the flowing quantities in rectangular form. a) sec(x + j1) b) cot(+j3) 2

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Q: Find div F and curl F if F(x, y, z) = 9e"Y i – 2 cos yj+ 7 sin? z k. div F= curl F=

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Q: F(t, x, y, 2) = [0, cos(t), sin(t)] x 7, 0<t<

A: Solution

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A: F(x,y,z)=9e^(xy)i-8cosyj+4sin^2zk ∇F=∂F(x,y,z)∂xi+∂F(x,y,z)∂yj+∂F(x,y,z)∂zk…

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Q: fze [sin(3x)]-m(x, y, z), where m(x, y, z) = Part C. yz-1 %3D

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Q: alculate the double integral. tan e dA, R= {(x, y). 10<0S7/3, 0<tS 1/2.}

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Q: 5. Express the flowing quantities in rectangular form. a) sec( + j1) cot(17/12 + j3 cosh(2 + j3) b)…

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Q: The degree of the homogeneous function f(r.y) = sin--tan- is Enter your math answer

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Q: cot t Differentiate f(t) = et f'(t) =|| %3D

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Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

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A: Since you have Posted multiple questions, we will solve the first question for you. If you want any…

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: Show that z - sinh z Res i | 2 z sinh z z=ri

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Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

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Q: i た(uバ)=ta u= x Cosy V= X siny Determine JR to つメ

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Q: Exercise : Find dy O y = 10x+3 Cosx O y =cscx -4VX+7 Cotx 3y =- (3) I+ Cotx

A: To differentiate the following: 1) y=10x + 3 cos x 2) y= cosec x -4x +7 3) y=cot x1+ cot x

Q: Find div F and curl F if F(x, y, z) = 3e"Y i – 6 cos yj+ 10 sin? z k. div F= curl F=

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Q: cot t Differentiate f(t) = et

A: We are given, f(t) = (cot t) / et We are asked to differentiate this function.  We will use the…