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Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: 2. cos?x dx =x+ sin 2x + C X_SO

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Q: b) y" + 2y' =4e' (sin x + cosx)

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Q: Find dy/dx and d2y/dx2. x = 8? + cos ?,    y = 9? − sin ?

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Q: Differentiate y= e*cos (x²): y = A e(cos(x?) – 2xsin(x?)) B -2xe"sin(x?) (c) e*cos(x²) – 2 xsin(x²)…

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Q: re SE cos (x- In(x))dxdy

A: Since,  the  given  ∫y=1e∫x=1e1y  cos x-ln x  dx dywe  have  to  find  the  value  of the given

Q: dy If x=5+ cos20 and y=3- sin20 , what is dx

A: We have to solve the problem

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

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Q: cos z dz (4 + sin z)?

A: The solution of above integral is written in below steps.

Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: dy Find dx if e cos r 1 + sin(ry)

A: Differentiation is the rate of change in the value of dependent variable with respect to the change…

Q: cos r In(sin a)dx

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Q: f(1, y) = cos cos y is = COS I COS y

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Q: 2 cos x dx, 1+ sin x (c) t = sin r. 0.

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: If y = cos? x – sin? x, what is ? dx dy dy = 2(cos x – sin x) dx dx Option 1 Option 4 dy dy -2(cosx…

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Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

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Q: 4. J (cos x – sin x)²dx

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Q: dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

A: Given: dydx=cos2x cosy

Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: dy iven that x = e" cos 3t, y=e" sin3t, show that tan 3t + dx %3D 4

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Q: If ſ x sin x cos x dx = xsin²x + Ax + B sin 2x + C, what is the value of A + B?

A: The given integral is, ∫xsinxcosxdx=12∫x(2sinxcosx)dx=12∫xsin2xdx=12∫xsin2xdx=12I1

Q: dy If y= sin(sin x), then dx o cos x cos(sin x) o cos(sin x) O cos 3x cos-(sin x)

A: Solve the following

Q: 1+cosx, dr r = 1-cosx' dx

A: Using derivative to find dr/dx

Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: If x = sin2 (u) and y = cos² (u), then dy is : dx а. 1 b. cot(x) C. tan(x) d. 1-

A: Differenriate

Q: When |x3 cos(x?) dx is evaluated using IBP, the value of v du is? cos(x*) - cos(x³) -cos(x*)

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Q: i sin°Hcos* () .3x, sin°cos* dx 10. 3 10

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Q: For S* sin x dx, what is dv? sin x dx OA 2x dx - cos x+ 2x sin x+2 cosx+C O.

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Q: d'y +2 sin y cos' y = 0. dx 6. If y= tanx, show that

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Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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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…

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: d 1. sinx dx = - cos x + C because (- cos x+C) = _ dx

A: The first question is ∫sin(x)dx=-cos(x)+C

Q: Find by definition for the following : dx 1. y = (2x² + 1) 2. y = cosx 3. y = sin?x

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Q: F(x, y) = 3x – 4y3 + 5x°ys + cos(x) – 3 sin?(y) |

A: Given query is to find the partial derivative onnf the expression.

Q: dy If y = cos (sin2x), then - 6 cos² (sin 2x) sin (sin 2x) cos(2x) dx True O False

A: Given: The function is  y=cos3(sin 2x)

Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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Q: d (cos – sin) dx 4

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Q: I sin(z) cos I) COS(2C (x) dx %3D

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Q: d dx et ex sin x + e* cos x

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Q: dy Solve : tan y +tan x = dx cos y . cos x. %3D

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Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

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Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: sin?x d Prove that 2sinx dx \(1+cosx)² (1+cosx)²

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Q: da (cos ( 3x) sin( 2æ)) dæ

A: