If ƒ(x, y) = e³ª sin 7y, then fry is given by: 21 e³ cos Ty 7y sin 7y - 21 e³ O 21 e³2 sin 7y O 21 e³2 cos 7y

Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

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Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: d. (x) x sin r) = sin x I COS dx O True O False

A: Given data is : ddxxsinx=sinx-xcosx To verify the given is true or false.

Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: dy Find if 6x? sin3x y =

A: Given, y=6x2sin3x   ANSWER: 18x2cos3x+12xsin3x EXPLAINATION: From formula,…

Q: a. +4 cos x +6 sec x – 5 ) dx 2 x5

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Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: dy Find ax eby = cos (8x +y) Select one: A. -8 sin (8x + v) 6e6y + sin (8x + y) B. sin (8x + x+y)…

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Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: If z=x2 sin y, find

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Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: (Yp)for y2) + 4y = 3cos2x ;is %3D اختر احدى الدجابات a. y = c, cos2x + C2sin2x b. y x2(Acosx +…

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Q: -dy (49 – y2 )

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Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: dw S- V4- 9w? 3w + C a. sin Ob. O b. 1 + C Oc3 sin-) 3w + C Od. 1 3w + C

A: By see solution below

Q: /4 (6) Evaluate I cos y dz dr dy = A. B. C. D. A

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Q: Find the domain and range of the following: 1. y 3 cos (x) 3. y = -4 sin (x + ) + 4 5. y = sin (3x +…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: dy Find dt 4 y (1+ sin 7t)

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Q: H.w Evaluate;- Cos TT lt-1)idt

A: To evaluate:  1) ∫-∞∞δt-2e-tcosπt-1dt2) ∫03∫-∞∞t2+4δt-τdτ dt

Q: If y = 8 sin 2x cos 2x, then A 128 sin 2x cos 2x C. 64 sin 4x B. 128 sin 6x D. 8 sin 2x cos 4x

A: If , then to find .

Q: +y = 25 =

A: given x2 + y2 = 25 Differentiating w.r.t x 2x + 2y y' = 0

Q: 3. Evaluate L{4e¬2tt3 +t sin t cos t}

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Q: 2. Solve the following equations: d²y dy а) 8 + y = 2x + 40 sin x dx - dx2 d²y b) 2 dy + 2y = 2 sin…

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