20 Y 2. Sin X 15 25

Q: 25. y = x² sin“ x + x -2 = x* sin' x + x cos

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Q: 9.(x−2)y′′+y′+(x−2)(tanx)y=0,y(3)=1,y′(3)=2

A: Given: (x−2)y′′+y′+(x−2)(tan x)y=0,y(3)=1,y′(3)=2 To Find: The longest interval in which the given…

Q: 10. (2 sin x + 3cos 2x)dx

A: As the policy of bartleby the provisions is to solve only one question at a time when

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

Q: 27. r = – 3(1 + sin 0)

A: Here by putting the value of theta we get r and plot the graph

Q: 1+ sin® (x*))* 8

A: Given: y = [1+ sin6(x8)]8

Q: y = 2 sin (20+ 4π 3 ^

A: Given query is to find phase shift.

Q: 39) Find sin é. y 5 12 13' 13

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Q: 2. tan x sec² x dx = when we set u(x) = and du = 00

A:

Q: 5. Evaluate dz (sin(x*)).

A:

Q: 1 - cos(x) y = sin(x) y =

A: Observe the graphs carefully, Figure (b) suggests that the limiting value of the function…

Q: 5) y'+y = sin(x)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5. y=2 sin 20; 0=0,0=

A:

Q: 21. y = sin xy

A: y= sin xydydx=ddxsin xy       =cos xyddxxy       =cos xyxdydx+yddxx       =cos xyxdydx+y       =x…

Q: 5. sin(x + y) = y² cosx

A:

Q: 5. || x+y cosx 1+sin x

A: Solution

Q: [6 sin x – 7 sec? x] dx +C - %|

A: Find your answer below

Q: 6 2" – 5 sin(r) + dx 1+x?

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Q: Oz Oz find Ox if – sin(4xyz) = x² +y² + z³ Oy 2

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Q: 2. 2 | sin xcos xdx

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Q: -4e sin(7y) 4e sin(7y) ду

A:

Q: find dy>dx.

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Q: 3. 4 cos I sin y =1

A: Solve the given equation.

Q: 14) y = -2 + sin |x + 2

A: We first make a table for the function. y=-2+sinx+π2 x -π -π2 0 π2 π y -3 -2 -1 -2 -3

Q: 12) y = 3 cosx + X

A: we have to locate the graph of the function y=3cos(x+π4) to locate this we will put the values of x…

Q: b) x-sin(x) ÷= 0. 2

A:

Q: 7) sin Z 40 32 Y 24 X,

A: In right angle ∆XYZ The length of the side XY=24 units. The length of the side XZ= 40 units. The…

Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: 12 Sin X de =?

A:

Q: (7/2 cos'x sin'x dx Jo

A: To determine: The integral

Q: 26. *2# 70 x² sin x dx

A:

Q: 17. y = |x – 1| + sin x

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Q: 5. 3 sin xdx

A:

Q: 43. y= 2cotf x 2 44. Y=: G- Sec 2 45. y= 4 csc(2x + 7) 46. y= tan( x +

A: Consider the functions of the form y=AgBx-C+D where g is any basic trigonometric function. Then, the…

Q: 10. If cos(x + y) = 2x- 2y, find y'.

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Q: 4) y' + y tan(x) = sec(x)

A:

Q: 3. sin(x +y) + sin(x - y) = 2 sin x cos y

A: The given identity

Q: /2 97. 3 sin x cos x =dx VI + 3 sin²x

A: Integral problem

Q: 25 Jr'sin xdx 27 (x'sin xdx 27 29 |x' sin xdx

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Q: 12. x² sin(x + y) = 1, -

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Q: Compute the derivative.

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Q: Draw 1) y = sin (x +÷) – 2 2) y = 5cos2 x |

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Q: 14. y' + y tan x = sec x

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Q: 36) y = 2 sin x - 4 10+y 8-

A: to find the differentiation of given function.

Q: 3 5. cos x dx > 6. sin x cos x dx =

A: According to the trigonometric ratio:  sin2x + cos2x = 1 Integration of cos x is sin x.

Q: y" + y = 5 cos(2x) – 3 sin(x).

A: From the given information. The given differential equation is as follows.

Q: 3 sin x d.x 4 1. Show that

A: