Let y = sin(sin(50)). Then y" is equal to: %3D Q7 -25 cos (50) sin(cos(50)) – 25 sin(50) cos(cos(50)) -25 cos (58) sin(sin(58)) – 25 sin(50) cos(sin(50)) -25 cos (50) cos(sin(50)) – 25 sin(50) sin(sin(50)) -25 sin (50) cos(cos(50)) – 25 cos(50) sin(cos(50)) CS Scanned with CamScanner

Q: 3 S² x³ cos x ²dx 6.

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Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x…

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Q: A B с E LL [Choose ] [Choose ] f(x) = 5cos(x) f(x) = cos(x) -4 (x, y+5) f(x)=cos(x)+ 5 (x, 5y) (x,…

A: In this question, the concept of transformation is applied. Transformation A transformation is a…

Q: If fx*cos x dx = f(x) - j2xsinx dx, then f(x) is A. 2 sin x + 2x cos x+C B. xsin x +C %3! C. 2x cos…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: d Select one: æ(sin=! æ)* 3x + 2 sin- x 3x x(sin x) -1 + 2(sin-1 x)? 1-a2 x² (sin-1 æ) 3(sin1 x) +…

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Q: Use integration formulas to solve each integral in Exercises  You may have to use algebra, educated…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESION, SO, I HAVE ANSWERED FIRST THREE…

Q: EVALUATE 3 x2 +1 cos dx -1 dx x2 +1 А. cos В. О C. 2/ cos 3 dæ x2 +1 D. 1

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Q: If y = cos x + sin 2x, find the value of y" - y + 3) O 2 cos x + sin x – 2 cos 2x – sin 2x O 2 cos x…

A: Given that: y=cosx+sin2x

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: 4. The value of fx sin(x²+3) dx Acos (x²+) + C C. cos (x²+)+C B. -cos (x²+)+C D. -cos (x²+) + C

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Q: dy : y4 — e²xy³ = 2 sin(x + 3y). dx cos(x+3y) + y²e2xy³ 2y³ +3[cos(x+3y) + xy²e²xy3] cos(x+3y) +…

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Q: Find if y = In x5 + e¯cos2x – lIn e?. dx | dy_5, esin²x-cos²x 4 sinx cos x dy 5 %3D dx e cos²x-sin²x…

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Q: dy If y sin(cos.xr), then dx O 6x sin x' cos x O sin x cos(cos x) 0-sin x cos(cos x) O 3x sin x %3D

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Q: Ssint2x)dx = 2cos(2x) (2x) + С -cos(2x) + C O 2 cos(2x) -cos(2x)+ C

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Q: 1. fcosax tan(sin ax)dx - In |cos(sin ax)|+ c ans : or In |sec(sin ax)| + c 2. Ssin(cos.x)·sin x dx…

A: Here we use the other formulas with the given one and also use substitution.

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: The integral / 16 sin (x) cos²(x)dx = Select one: 4 sin(x) cos (x) + 2 sin(x) cos(x) + 2x + C -4…

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Q: What is / - z dx? 1-x² o f- dx = -2cos-lx + C V1-x2 S- dx = 2sin-lx + C (1–x2 S-d 2 dx = 2cos-x + C…

A: 1. I=∫-21-x2dx =-2∫11-x2dx =-2sin-1x+C    ∵As ddx(sin-1x+C)=11-x2⇒∫11-x2dx=sin-1x+C=-cos-1x+C…

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: 2. In(x + iy) = A. cos(x) cosh(y) - i sin(x) sinh(y) B. sin(x) cosh(V) + i cos(x) sinh(y) C. cos(x)…

A: 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: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

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Q: x dx = e* + cos x e* + sin x O a. In(e* +sin x)+C O b. In(e* + cos x)+C О с. - In(e* + cos x) + C…

A: To evaluate  ∫ex + cos xex + sin x dx

Q: 9-x 4. Evaluate ſ, S sin(x² + y²) dy dx

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: If f(x) = 4c0s(x) , then f'(x) = %3D (A) – sin(x) 4°os(x) (B) – In(4) sin(x) 4cos(x) (C) In(4)…

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Q: Differentiate y= sin'x- cos³x CO A. 3sin x cos x (sinx - cos x) COS B 3sio x cos x (sinx + cos x) C.…

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Q: 6xsec 3x 2-If y = (tan3x)²² prove that = (tan3x)²= + 2ln(tan3x) %3D dx tan3x

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Q: If f x?cos x dx = f(x) – S 2xsinx dx, then f(x) is _ A. 2 sin x + 2x cos x + C B. x²sin x + C C. 2x…

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Q: Evaluate / 7x cos(x)dx 07 (x sin(x) + cos(x)) + c Oc – 7 (x sin(x) + cos(x)) - 07 sin(x) + 7 x…

A: The solution for given problem is :

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

A: Solution: The objective is to find the double derivative of the given function

Q: If y = sin (sin x) and d dy tan x + f(x)= 0, then f(x) equals dx2 (A) sin² x sin (cos x) (C) cos? x…

A: Introduction :

Q: If z = 24 - 2x - 6y, x = cos(4t), and y = esint, then dz dt is equal to O-2 sin(4t) - 6esint cost O…

A: Since you have posted multiple problems we will answer first problem for you for remaining problem…

Q: By using integration by parts technique, evaluate: 25х cos x dx О 25х sinх — 25 сos + C - -25x sin x…

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Q: Evaluate ex sin x dx. A - ex (cos x + sin x) + C В e* (cos x + sin x) + C C) -ex (sin x - cos x) + C…

A: We will find out the required solution.

Q: |xV4 - x dx x(x – 1)10 dx 43. 44. /* + 1°d – »° dx (x + 5)(x – 5)'/3 dx (x + 1)²(1 45. 46. |3x*VF +…

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Q: Compute Cos (x + k ) cos a dx by using substitution technique where k is a constant. [Hint: cos(A±…

A: The given integral is cos(x+k)/cosx.

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: Following S sin(A) cos(B) dx = ; f sin(A + B) + sin(A – B), | what is the integral of f sin 5x cos…

A: We have to solve the following

Q: d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x +…

A: In this problem we first simplify the equation to get Cauchy-Euler form and then solved the…

Q: find / sin³ x cos³ x dx cos³ 2x sinº 2x dx 11. 12. cos² x dx sin? x dx 13. 14. 16. 7 sin y dy 7 cos'…

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Q: Find y" if y = 8x sin x. O A. y" = - 16 cos x+ 8x sin x O B. y" = - 8x sin x OC. y" = 16 cos x- 8x…

A: If y= 8xsinx then find y''

Q: (1) ſ [ (x³ + 2 + 7 ) dx (3) cos³x dx (2) √ x³ (2) x3 e3x+1 dx (4) sin x sin 2x dx

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Q: 1 If y = sin' x then is dx dy dy -3 cos x b) dx a) –3 sin² x cos x dx sin¯ x dy dy _ -3cosx = -3…

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Q: If it was f(x,y)=y cos(6xy) SO a² f Əy² 2² f Əy² a² f Əy² a² f Əy² = 36 x²y cos(6xy) + 12x sin(6xy)…

A: A detailed solution is given below.

Q: If f(x.v)= e-2x° cos(5x +y),- af dy O a. e-2[4xcos(5x +y) + sin(5x + y)] O b. -e-2x[4xycos(5x + y) +…

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Q: 3 The value of (Isi n(x)| + x²) dx is .a 2 f(- sin(x) + x²) dx 0 .b .C 2 f(sin(x) + x²) dx -3 .d 3 ,…

A: Let's find.

Q: Solve the equation xdx + sec(x)sin(y)dy = 0 cos(y) = -xsin(x) + cos(x) + C -cos(y) = xsin(x) -…

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