y = sin(2x – 27)+1

Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

Q: Find integral.

A: ∫-11xcos x dx

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

A:

Q: Find the general solution of y' = sin?y cos³x

A:

Q: a. y=sin(x² + 3x + 1)

A:

Q: d. cos 3x = 0 %3D e. tan 4x - 1 = 0

A:

Q: findd y = (cos(x))*®s)

A: we have to find dy/dx

Q: D2 - 3D – 4)Y = sin 2x

A:

Q: b. y= 2 sin 2x+1

A:

Q: TT b) F /1- 1 – cos (2x) dx 2

A: Topic-Integration

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: y = sin(3 – 4x)" %3D

A: Apply the chain rule of derivatives, If y = f(g(x)), thendydx=d(f(g(x))d(g(x))×d(g(x))dx

Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

A:

Q: y' sin 2πχ 3Tycos 2πx

A:

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

A: Solution is given below:

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

A:

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

A:

Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: y³x2 + yx³ - 20y² – 10y = 0 sin(x?) = cos(y³)

A:

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: 5. (D² + 25) y = sin x + cos 2x

A:

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

A:

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: y = (cos(3x))*

A:

Q: d²y 9. +y= sin 3x cos 2x 2

A:

Q: 6) F Sin12y Cos’ y dy

A:

Q: 13. (D² -1)y = x³ sin 3x

A:

Q: V3 27 sin -1 x dx 0.

A:

Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

A:

Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: 1 dx J 3 sin x+4 cos x+3

A:

Q: 3T/2 1|sin(x| dx 01

A: Topic = Integration   using this definationsin x=sin xif 0≤x≤π-sin xif π&lt;x≤2π

Q: y = (cos 3x)vx

A:

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

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: Ans: -+ cosx c 1. y' +y2 sin x = 0

A:

Q: -y' y x = sin + %3D

A:

Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: e-3t sin (4t) y (0) ==

A:

Q: Find y' at the point (4, 4) where x sin(x² – y²) + 13 = x² – 3. -

A: y = f(x) g(x) Then y' = f'(x) g(x) + f(x) g'(x).

Q: dx -(I+ 2x tany) ay co

A:

Q: Find an equation such that y xe" cos(2x) is its solution.

A: To find an equation we derivative both side with respect to x.

Q: y = 15x cos X COS X %3D

A: Given that - y = 15xcosxDifferentiating on both sides with respect to x - y' = 15ddxxcosxy' =…

Q: y = tan x sin (2x)+cos (2x) 2 y' = A sin (Bx) + Ccos(3x) 3. A = B = C =

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: | cos(x) sin(2x) dæ

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.