57. y = sin(1+ x³), x = – 3

Q: 1- Calculate the value of y if: a-y= sin "(0.25) + sinh (2). b- y= sinh (15)+cosh"(31)

A: Note: According to our guideline, we will answer one question. As the exact one is not specified.…

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

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Q: 13. Find y' for sin(xy²) + x² = y². %3D

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Q: 26) If y=sin(-0).find dy d0

A: Given.

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Q: 4 2 ["S² sinπTy ³ dydx

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Q: 5 dr dy Suppose x and y are functions of a third variable t. If sin²(x) + cos²(y)=- and dr - 2, what…

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Q: 12) * 1 Differentiate y =sinh

A: Given:y=sinh212x

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A: Given 3x2-y2=t2 and y=tsinθ

Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 9. If y = costhen the second derivative is 5x 25 Cos, 16 5x 5x sin- 4 d. 25 5x sin- 4 a. 25 b. C -25…

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Q: Number 23

A: we have to find definite intregral of given question

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Q: 4. ſ cos xesinx dx

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Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0

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Q: 1. [* sin' y cos' ydy 3

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

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A: This question is about differentiation or finding derivative of y with respect to x.

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Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

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Q: ,2x Set* sin(e2*)dx

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Q: 4. y = tan(x+ a), 5. y = Aex + Be2x, 6. y = A sin 3x + B cos 3x, ,where A and B are arbitrary…

A: According to bartleby guidelines when student ask multiple subpart question then expert must have to…

Q: What is if z = x'y+ sin(xy²)?

A:

Q: 18) * x-sin 2x ; find y" y y" cos 2x y = 7 %3D Option 3 O Option 1 y" sin 2x

A: First we find out first derivative with respect to x then we find out 2nd derivative with respect to…

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A: Topic:- solution of differential equations

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A: Solve the problem within the domain first find the inverse and then solve.

Q: 26. If cosh 2z = ° then the positive valuc of sinh 2r is 4 B D com

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh (15)+cosh (31)

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

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x d'y dx? 1-cos4x 6. if y = 1+cos4x du

A: Topic:- derivatives

Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A:

Q: 1- LS7 cos(y)esin(y)+9x dydx 2

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A: Explanation of the answer is as follows

Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

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Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: (4) find dy if 3って - ソ= e* (2Co83x +3Sin3x) e = Sin (x+3y).

A: Given 1. y=e2x2cos3x+3sin3x 2. e2x=sinx+3y

Q: 13. y = -3 sin 2mx 15. y = -sin ix 14. y = -2 sin mx 16. y = -sin jx

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Q: 3) e4x = sin(3x + 4y)

A:

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh'(15)+cosh (31)

A: according to the guidelines of bartleby I will do only first question please ask rest of the…

Q: 7+2 sin y -dy = D cos ?y

A: on solving this we get the