(х+ siny)dx+ (хcosy— 2y)dy 3D0

Q: Find the linearization of ƒ(x) = √(x + 1) + sin x at x = 0. How is it related to the individual…

A:

Q: siny dy 2. 3 |- cosy

A:

Q: S Jiet'. dt Hint: use +he fundam ental theorom Find dy if dx y = of Calculus

A:

Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: What is the dy/dx of y = 3sin²x cos x ? O 3 sin x(sin²x - 2cos²x) O-3 sin x(sin²x - 2cos²x) O 3 sin…

A: Given: y=3sin2⁡xcos⁡x To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx

Q: Compute the differential dy for y = -6x° + 8x5. dy =

A: topic - differential equations

Q: (1) Find the general solution for -) dx - -) dy = %3D

A:

Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

Q: Ssin(2x)dx = cos(2x) + C cos(2x) 2cos(2x) cos(2x) + C O 2 cos(2x)+ C -

A:

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

A:

Q: Integral of Sin^2(2t)cos^2(2t)dt

A: Given: ∫sin22tcos22tdt

Q: integral of sin^6 y cos^6 y dy

A:

Q: it Z = exY , where : x= Incutv) and y = tan () %3D find a) du శ్రీశర శశ్ర

A: Given,  z=exy ; where x=lnu+v and y=tanuv To find: partial derivatives

Q: dy x COSY dx - siny=0 6 xcos)

A:

Q: 1. . sinx siny dx + cosx cosy dy = 0

A: According to our guidelines, we can answer only one question . Kindly repost the other questions.

Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: EXERCISE 1 dy -dx = 0

A:

Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

A:

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

A:

Q: Integral of sin^3 y cos^5 y dy

A:

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

A:

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

A:

Q: dy cosx+ ysin x =1 dx

A:

Q: sin³ y dy 2. S 1- siny

A: Solution Given   ∫sin3y1-sinydywe need to find the integral

Q: dy x(2 In x+1) 1. dx siny+y cos y

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 1+ tanx y = logy 1- tanx prove that 9 = sec2x dy dx

A: Given,           y=log1+tanx1-tanx

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: Solve (1+siny)dylx=[(2ycosy-(secy+tany)]dy.

A: This question is taken from a differential equation in which we have to solve the equation and take…

Q: sinx siny dx + Cosx cosy dy = 0

A: Given: sin⁡xsin⁡ydx+cos⁡xcos⁡ydy=0 ⇒sin⁡xsin⁡ydx=-cos⁡xcos⁡ydy ⇒dydx=-sin⁡xsin⁡ycos⁡xcos⁡y…

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: y= sinh-lx then prove that Vx2+1 dx

A:

Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b.…

A: Here we have to transformed the given integrand.

Q: 3. f sin³y(2-3cosy)² dy

A:

Q: tion to (1+ x²) dy + 2xy = 4 that satisfies the initial condition y(0) = 0. dx %3D %3D

A:

Q: (siny - ysinx) dx +(cosx +xcosy) dy =0

A: We will use the method of exact differential equations.

Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

A:

Q: V4-z2 z siny dx dz dy 16 3. 16 5 0 16 0 66 0 66

A: The objective is to solve the integral ∫0π∫02∫04-z2z siny dx dz dy

Q: dy 1. sin 2ycos2y

A:

Q: 2olue dy %3D

A:

Q: sin³€ dt to ylomeldon 3.

A:

Q: (7 – siny)y' = 3x2 + 2x

A:

Q: Find the solution. 7. (3siny – 5x)dx + 2x2cotydy = 0 hint: let z = siny

A:

Q: 5. Integrate: S (cose-sin8) de sec 20 6. Find f(3y – y³)ž(1 – y?)dy

A: 5. Given integral, ∫ecosθ-sinθ2sec2θ

Q: x Siny dy + Cosxdx=0

A: Here, we need to solve the following differential equation.                           x sin y dy+cos…

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.