2x-1 Q:If y =f| and f'(x) = sin x, find x* +1 dx

Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

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Q: Solve d²y dx² - cot x dy-sin² x.y = cos x - cos³ x. 2 dx

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Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: 5. Solve: (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0

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Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

A: Solved below

Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: Can you help me step by step?

A: The given function is,

Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: 3) S x tari'x dx X,

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Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

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Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af/ar if 1 f = ? + y?

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Q: find dy / dx if y2 - x2 - sin xy = 0.

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Q: 4 Find dx for y = - +7 sin x. X

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Q: In (3x) Find the derivative of y with respect to x if y= sin (7 e') dt. dy dx

A: Given : A function is given as: y=∫0ln3xsin7etdt To find : The derivative of the function y.…

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

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Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: dx (2) 3y sin x - -2xy cos x = 0 dy

A: Follow the procedure given below.

Q: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

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Q: (e² sin³(2r) (d) y= ln 2x2 + 1

A: Given, y=lnexsin32x2x2+1 derivate both side and find dydx dydx=ddxlnexsin32x2x2+1…

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: 6. (y cos x + 2xev)dx + (sin x + x²e° + 2)dy = 0; when x = 0, y = 0

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Q: (a) By using the chain rule and the derivative if x>0 (1, -1, if x< O' d (\xl) = dx | d find - (lx3…

A: Just break the mod function in two parts and easily calculate the derivative.

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 4. cos x dy + y(sin x – 1)dx = 0; when x = T, y = -2

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: dx b) sin 2x sin x dx (3x + 2)²

A: we have to integrate

Q: y=sin-1x

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Q: 1. If f(2) = 1, find the constant of integration for dx f(x) = +3

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Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

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Q: of y = In || dx 4 1-cos x 1. 1+cos x Find the

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Q: Vaz x² S. (2) dy dx

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Q: In (3x) Find the derivative of y with respect to x if y = sin (7 e') dt. %3D dy dx

A: Given y=∫0ln3xsin7etdt.We need to find dydx

Q: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

Q: Find the first derivative 1. y = In v4-x2 %3D 2. In(x2 + y2) + 4arctan = 5 y %3D dy x+4 3. Find , if…

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Q: 1) ſx e* dx 2) S x³ e* dx 3) ſx² sin x dx

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Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

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Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

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