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

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A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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Q: siny dy 2. 3 |- cosy

A:

Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: cos(sec-'/1+x²)= Select one: 2x a. V1+x² O b. V1+x? 1 Oc. 1+x2 d. V1+x?

A:

Q: z 3e*3S,y 3z2 + sin(z)s G dx

A:

Q: / (csc 2x)(cot 2x cos 2x + cot 2x cos 2x) dx

A:

Q: ▪TT/2 sinx sinx+cosx 0 dx 3:47

A:

Q: Eliminate 0 from the equations : (i) x = h + a cos 0, y = k + b sin 0 (ii) x = a ser³ 0, y = b cot³…

A: Solution is given: Hope the solution is helpful.

Q: z = sin(6x) sin(5y) az az dy II

A:

Q: Ea: Siny dydx

A:

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: Find the Jacobian for the change of variables defined by x = r cos θ and y = r sin θ.

A: To calculate the Jacobian for the change of variables, we need to calculate the following…

Q: Let i be the unit imaginary number. Thus i2 = -1. (1) Observe that the usual algebra rule to…

A:

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: Find y" if cos y + X =y

A: Given, cosy+x=y We have to find y''.

Q: vor use two and three Points 1 Gaussian Guadrature 2 (1+sinx) dx = I

A: Given integration is I=∫02πe1+sinxdx Let f(x)=e1+sinx Formula for two point method is…

Q: cos° (nt)dt

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Q: (D³ - 3D2 + 9D + 13)y = 0

A:

Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: (D2 -4D +7)y = 0 A y = e²"(c,cos/2x+c,sin/2x) COS y = e2"(c,cos/3x+c,sin/3x) В © y = e (c…

A: 1. Given differential equation is (D2-4D+7)y = 0 Here Auxiliary equation is D2-4D+7 = 0⇒ D = 4 ± 16…

Q: Which of the following is/are linear equation/s of the first order? (2s e) ds = 2 (se - cos 2t) dt…

A: Topic- differential equations

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. @ y = (c,+cx)e¯* + cze -2r + e*(c_,cosr + c zsinx)…

A:

Q: y" - 2y y""y" + 2y = e2 (cosx-3 sin r). 21 - 4y + 4y = 5-e + c²r.

A:

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…