Show that if y = V1 + sin x then sin x

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: Let y = (3x + 2 sin(x))ª. %3D

A:

Q: Find f'(x) if ƒ (x) = 6 cos x + 10 sin x. S'(x) =|

A:

Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: If z = x sin y + y sin x a2z then дхду

A:

Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

A:

Q: eliminate the arbitrary constant y = sin ax

A:

Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

A:

Q: Find the general solution to y" +y = x sinx

A: We are given second order non homogeneous linear differential equation with constant coefficients.…

Q: // Show that y" + y = 0, given that y = 2 sin x + 3 cosx

A: First find the first and second derivative of the given function then simply put and simplyfy

Q: -(sin(xyz)) = O xô zô y

A: Partial differentiation of the function with respect to x means to differentiate the function only…

Q: Show that y" + y = 0, given that y = 2 sin x + 3 cosx

A:

Q: Show that x² + 1 cos{arctan[sin(arccot x)]} = V x² + 2

A:

Q: prove that  d/ dx ( sec x) =sec x tan x

A: We have to prove ddxsecx=secx tanx We know that secx=1cosx So, we have to differentiate ddx1cosx…

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

A:

Q: Let f(æ) = - 6 sin(x)cos(x). %3D df dx d²f da?

A: Using product rule, (uv)'= u'v + v'u Here we take, u = sinx v = cosx df/dx =(uv)'…

Q: Find if y = sin /- cos r and r= 1+ cos-x %3D dx

A:

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: use implicit diff cos(xy) = 1 + sin(y)

A:

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: If f(x) = f (x) „sin(x) e Then f'(0) = ?

A:

Q: T/2 cosx dx (4 +2 sin x)3

A:

Q: Consider these two trigonometric functions: f(x) = 3 sin(2x) +4 %3D s(x) - 3 sin(2x- + 4 -

A: f(x)=3sin(2x)+4applying formula of sin2xsin2x=2sinxcosxafter applying sin2x…

Q: Findəz/əx andəz/əy if z = x* sin(xy³).

A: Find ∂z∂x.

Q: Show that y / / + y = 0 given that y = 2 sin x + 3 cosx

A:

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: 8. Find if y (sin x + cos x) sec x dx

A:

Q: Find y' of sin(x+y)=x+y

A: Given,              sin(x+y)=x+y

Q: If 4 f(x) = %3D 1+ sin x then 4 cos x f'(x) = (1 + sin x)²

A:

Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

A:

Q: If f(x,y) = sin(2x+3y) then f yy

A: Given: A function fx,y=sin2x+3y fy is the derivative of fx,y=sin2x+3y with respect to y. And fyy is…

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: - sin x sin y y' cos x cosS y

A:

Q: tan x 2. (D'+) y %3D

A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = sin2 (x - 3y)

A: Given: fx,y=sin2x-3y  To find: ∂f∂x,∂f∂y

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

A:

Q: cos ydy Sin y+ 5 sin 3 sin y+6

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

Q: 7. Find , if y = (1+ sin x) sin x dx

A:

Q: Find z2 sin z dz

A:

Q: If y=a cos ( sin x) +b sin (sin x :) then y" + (tan x )y'+ cos'x = 0.

A:

Q: What is y = sin (xy)

A:

Q: Differentiate (sin(ax+b)/cos(cx+d))

A:

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

A:

Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

A: