If y = 2 sin ( 3x+ n) –1 , The range is : (- 3,1) O (-1,3) O (-2,2) O (-3,3) O

Q: 19-x Evaluate ,* sin(x + y*) dy dx

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Q: If sin' 0+y cos e sin e cos e and x sin e = y cos 6, prove that x + y* = 1.

A: Solution

Q: 13. Find y' for sin(xy²) + x² = y². %3D

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: dy 1- IF y = cos(3 cos 2x) find dx

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Q: Is the ODE (sin(x-y)+1)dx=(sin(x-y)-2y)dy satisfied by the implicit solution x+y2=cos(x-y). Show…

A: An implicit function, however, is an equation that defines a relationship between two or more…

Q: b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

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Q: 5) Find if y = (cos h x)* dx

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

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: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: (c) Show that the function z -- eX sin yt ey cos

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

A: Given 3x2-y2=t2 and y=tsinθ

Q: 1) If y = (x − a)√2ax - x² + a² sin−¹(*—ª),t ), then y'= 2√2ax-x² a is constant.

A: As per instructions, Here is the answer of question 1

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

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Q: 4. Evalaute cos(x) sin(x) dx

A: Given:

Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=…

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Q: 3 O f sin 2x cos 2xdx 4)

A: we use substitution method

Q: ¥2/3 6. cos'x sin x dx 5.

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

A: Solution is given below:

Q: If f(x,y,z)=In(x²y+sin² 12

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Q: dy If y = sin(6x – 4), then dx O a. 4 cos(6x – 4) O b. -4 cos(6x – 4) 6 cos(6x – 4) O d. -6сos(6x -…

A: y= sin(6x-4)

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: 1. [* sin' y cos' ydy 3

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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: 2. If y = e-* cos 2x, then f'(x) = %3D

A: Given : fx = e-xcos2x

Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

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

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Q: al equation sin(t) with y( solution for this hen t belongs to ||

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Q: 2 cos(플x-지) =D v2 TO

A: Given trigonometric equation is:  2 cosπ2x-π=2 We have to solve for x.

Q: 1. Given x = r2 cos(20) and y = -r² sin(20)

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Q: ,2x Set* sin(e2*)dx

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Q: What is if z = x'y+ sin(xy²)?

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

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

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: Find the solution of the equation z az cos y which tends to zero as x o and has the value cos y when…

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Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

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Q: tan (e) 1+z* (d) (22+ cosh 2z)dz () z coshz dz zp-

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Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2

A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…

Q: Find dy/dx if y = In (tan(x). 3sec(x) + /sin (x³)

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Q: 8. (e sin y + 3y) (3x - e" sin y)y' = 0

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Q: 3) If y = sin(2n), and x = cos(2n)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: If y=cos (3x+5 ) then the derivative is - 3 sin(/3x+5) 2/3x+5 b) y'=-3sin(/3x+5) V3x+5 a) y'=- c)…

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Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: If sin2y = (8/3)x° then dy/dx at a point (0.5, T/2) is

A: take derivative

Q: If f(x)=e^2x cos(3x), then f’(0) = ?

A: Derivative Question

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.