I x=rsin p cos 8, y=rsin g sin8,2=r cos.0s0s 2n,0spsn then the value of Jacobian/.

Q: Find the Moment of I

A: Given: r2=cos 2θ

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Q: 4e cos z Integrate (z counterclockwise around the circle |2| = 3. :- )* 4e? cos z dz (z

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A: We have to evaluate ∮Csinh3z+1z2−5z+6dz, where C:z−2i=1, counterclockwise. Cauchy Goursat theorem:-…

Q: 5) - sec2 x y And the ares Of the Shadid regran 3- 2- y = cos x х 4 - KN

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A: Given that, x=etcost, y=etsin2t. Differentiate x with respect to t, dxdt=etcost-etsint=etcost-sint…

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A: Given:

Q: Find all x and y between O and 27 so that the equation is true. cosx+i siny = sinx+i x = 4 or 4y = 2…

A: Explanation of the answer is as follows

Q: cos(2z) dz c = |Z| = 1 Evaluate where at oriented 5-4 cos(z) counterclockwise?

A: Let fz=cos2z5-4cosz Singularities of f are those points where the denominator is zero. So, put…

Q: Check by differentiation that y = 2 cos t + 6 sin t is a solution to y"+y= 0 by finding the terms in…

A: Here,  y=2cost+6sint

Q: (1+sinx)9 cos x dx , u=1+sinx is The values of a. (1+sinx) 10 + C 10 b. (1+sinx)10+ c 1 (sinx)10+c…

A: Solution: The objective is to find the value of the given integral

Q: z = 2ev Ве ev-sinx – 3e*÷cosv) find: www a2z a2z az a)- дудх ,b). дхду 4 ax

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Q: (1+ etane) sec² e de = e TO FO 2 [0(sin(In 0) + cos(In 0))] = de csc(ln 0)

A: ∵1     ∫0π4(1+etan θ) sec2θ dθ=∫0π4(sec2θ+etan θsec2θ )dθ=∫0π4sec2θ dθ +∫0π4etan θsec2θ dθ∵∫0π4sec2θ…

Q: 2. The deltoid x = 2 cos t + cos 2t, find area y = 2 sin t – sin 2t, 0 <t< 27 y 3

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Q: 3 r = sin 0 + 6 cos 0 О За? + (у — 3)? —— 1 %3D 6æ² – (y – 3)² = 1 D y+6x = ! 1 3. Dy+6x = 3 у+ 3х —…

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Q: s2 Q.3) Prove that L-1 () =(coshat sinat + sinhat cosat) 4+4a4, 2a

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Q: cos 2z dz, C the semicircle |z| = 7, x2 0 from - πί to πί

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Q: sin(2t), y = – cos(2t), z = 4t at P(0, 1, 27) has equation 87 + 2 sin(1). The normal plane to the…

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Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

Q: 5z + sin z TE-31 -dz, C the boundary of the square with vertices+4, ± 4i counterclockwise.…

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Q: What is r 1- O Option 1 2 2 sin 0-3 cos 0 3 y = ² x + 1 2 x² + y² = 2y²-3x Option 3 in Cartesian…

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Q: cos 3z 3 cos 2z cos z = 2

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Q: sin 4t sin 2t dt 1 sin 6t + C 12 cos 6t + C sin 2t + B) sin 2t 1 · sin 6t + C 12 D) 1 sin 2t + C 12…

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Q: 3. Find the area of the cardioids region shared by ri 7(1- sin 0) and r2 = 7(1+sin 0). A 7(1 Sint) B…

A: The given curves are:  r1=71-sinθr2=71+sinθ To find the intersecting points,…

Q: ♥ дzu ахбу = сезх созу, Ans: u(x,y) = sinx siny + x² + 2 cosy - #2² X 1 бу исx;#) =X бx U(x,п) =X,…

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Q: -1 cos z sec + C 2 O - sin-l cos z 2 +C 2 tan 1 cos z +C 2

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Q: A particle is traveling along a circualr path defined by x^2 + y^2 = 4, where x and y are measured…

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Q: Compute the Jacobian for the substitutions x = ρsinφcosϴ,  y = ρsinφsinϴ,  z = ρcosϴ.

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Q: which u-sub will help integrate this? A. u = dx 11 [arctan(x)]" dæ = [9 + 12 cos(x)]" B. u 9+ 9x2 C.…

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Q: y sin 2x + cos 2y = ax Find y' a – y cos 2x y% = sin 2x – sin 2y а - 2у сos 2x y sin 2x – 2 sin 2y…

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Q: I am studying for a quiz and do not understand the substitution rule. can you help work the attached…

A: Hey, since there are multiple questions posted, we will answer third question. If you want any other…

Q: cosh(2z) Integrate counterclockwise around the circle |z| = 8. 25 cosh(2z) dz 25

A: using cauchy residue theorem....

Q: 3 Find cos(x+y), given that cosx= and siny = 2 3 TT <y<2n. 0<x< 2 Select one: V5-2/15 a. 10 b. None…

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Q: 2x Cos 23 find diy %3D

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: If A =x 2sinyi+z?cosyj -xy2k then -=x?cosyi - z?cosyj-2xyk 1O ду =x?cosyi-z2sinyj-y?k ду .II O…

A: We use partial derivatives to answer the given question.

Q: Question: Given y = sin u and u = 3z + 1, find dy/dr %3D Select one: 3 cos (3z + 1) O 3 csc (3z+1) O…

A: This question is related to derivatives.

Q: 2.11 Let A = p cosa, + pz² sin o a (a) Transform A into rectangular coordinates and calculate its…

A: Given A=ρcosθaρ+ρz2sinθaz

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Q: After differentiating the last expression we obtain that 1 C(y) = sin 3y. Hence, we get 1 1 sin…

A: Given that, Cy=13sin3y                   1 and after differentiating the last expression, we get…

Q: A particle travels along the helix C given by 7 (t) = cos ti + sin tj + 2tk and is subject to a…

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Q: (a) Circle: x = h +r cos 0, y = k + r sin 0 (b) Ellipise: x = h + a cos 0, y = k + b sin 0 (c)…

A: We have to find out in rectangular form

Q: QI/B/ Prove that cos y 1- 1+ sin y 1+sin y 2 sec y -= cos y

A: Question 1 is solved. Solving more questions are against the policy of bartalby and Post other…

Q: -2 /2 cos 0 = 3 y sen 0 = a. csc 0 = c. tan 0 = b. sec 0 =. d. cot 0 = 4/17 sen 0 = 17 y cos 0 = 17…

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Q: Sexyz ds, C: x= 2 sin t, y = t, z= -2 cos t, 0sts T

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Q: F- dr in the case when F(z,y) = (7y -sin (y) + 8) i+ (72 - cos (y))jis conservative, and Ais the…

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Q: A particle moves along a circular path in such a way that its x- and y-coordinates at time t are x =…

A: Given: x=2 cos t y= 2 sin t