dy If sinx + siny = xy, find dr coss-ly O a. -cosy cosx-y a-cosy none of these CORE-ty #coy CORE-Y x-cosy O b. ос O d. Oe.

Q: If w sinxcosy + 1, I = sint, y cost, then by chain rule when t = 7, Select one: O A. 0 О в. - соs(-…

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Q: X = cos 2t, y = cos t, 0 <t< n

A: given x=cos2t and y=cost interval 0&lt;t&lt;π  dx/dt =d/dt(cos2t) dx/dt=-2sin2t And dy/dt=d/dt(cost)…

Q: 11. Integrate the function. y? -dy (49 – y² ) 5 y 7y +C - sin"' y + C V49 – y V49 – y² V49 - y -…

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Q: Calculate 2 4-y2 dyde Jsydxdy. O 1-X T Sinx x.Sin.dy.dx y dydx..

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If z = cos (r + cos y), show that az Fz ar ərðy dy dr

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Q: z2 = - sin (z+y+2) ( '+ ) xy 3z + sin (x+y+z). dz -xz - sin (x+y+2) he he

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Q: Find dy dx 3) y = cos = cos¹ 2 2x

A: We have to find the derivative of y

Q: Compule he an Curvc given aM byO x= and ye 3tcos(t) 'from DLtL engh ot M pacbmeter 3t Sin (t)

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Q: Use separation of variables to find a product solution to the following: d²u du -u, k>0 dr -U= dr² k

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Q: Find az/ax and dz/dy. xyz + cos(xy) - 2y sin(x) + z² = 3 Find az/ax and dz/dy. exz ZX y

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Q: Exercise: Find dy O y = lox +3 Cost ® y =cscx- 4 Vx +7 Cotx 1+ Cotx

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

Q: PART 1: State the characteristics (order, degree, type) of the given DE. 1. (1-x)y" - 4xy' + 5y =…

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Q: 3.8. Question. Match equations y' = sin x, y' = cos y, y' = y cos(x)· a) c) b) to direction fields.…

A: To find the direction field of a differential equation you first need to isolate y' from the…

Q: 8z Find where z = 4 sin(xy), z = te58, and y= 105-1088 dt O O O O dz = 4(10t5-10s8) cos(te5s…

A: We have to find  using given data.Concept required:If  then while finding we will consider  as a…

Q: Find the second derivative of the given function g(y) = sinycosy A) - sinycosy B) -2sin2y C) -4cos2y…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c ...

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Q: 9. TC/2 (3 sin² t cos ti+ 3 sint cos² tj + 2 sint cost k)dt

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Q: х. у 2) w=¨+2,x= cos“(t), y = sin°(1), z =-, at t = 3 Z Z t

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Q: 1 1 4 w² sin ² w-w sin¹ du 2

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Q: (x²+y2 ) prove ne du + y ax -2 sin2u ( Euler's Rule) 5. If u = cot-1 that x ду x+y

A: We use the Euler's rule of partial differential in homogeneous function to solve this problem.

Q: udv – v(1 + v cos 2u)du = 0

A: We will find out the required solution.

Q: Find y' if y = 5x sin x. O A. y' = - 10 cos x+ 5x sin x B. y" = 10 cos x- 5x sin x C. y' = - 5x sin…

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Q: 5s+2 L %3D s2+9) 1 5cost+ sint o 1 5cos9t+–sin9t ,o .b O 5cos3t+sin3t . 5cos3t +3sin2t d o

A: Use the standard formula of inverse laplace transform.

Q: Let 3 sin z + 6 cos y = 4 dy dz d'y dz²

A: Given query is to find indicated derivatives.

Q: How to get the part that I circled??? Please explain.

A: ∫0π/2​5ysin(y)+23sin2(y)​dy=∫0π/2​5ysin(y)dy+∫0π/2​23sin2(y)​dy Step 1: Evaluate ∫ 5ysin(y)dy using…

Q: dy z = 3e*S, y = 3z2 + sin(z) S i5I dx %3D

A: Given,           z=3ex and y=3z2+sinz

Q: explain in full detial

A: Step 1: Step 2: Step 3: Step 4:

Q: 5. y"+9у-0

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Q: i. y" - 4y + 5y = 39xe* sin(x) + 47e * sin(x)

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Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: Əz and Əx az #4. Calculate given that ду x² sin (z) + (x² – 1) y* = 2°.

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