f(x, y) = sin(xy) + x^2 ln(y) Find fyx at (0, π⁄2)

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

A:

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

A: Given,        ∫sin14xcos5xdx

Q: If (x, y) moves from (x0, y0) to a point (x0 + dx, y0 + dy) nearby, how can you estimate the…

A: The resulting change in function f (x, y) is given as:

Q: tan- Find -dx using integration by parts. x2

A: The given integral is: I=∫tan-1xx2 dx

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: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

A:

Q: Find the differential dy of the given function. Y = 5x+(sin(x))^2 Dy=?

A: Topic- differentiation

Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

A:

Q: Find the most general antiderivative of f(x) = -3e" + 10 sec2 (x), where - < x < 2 Note: Any…

A: According to the given information it is required to calculate the antiderivative of the function:

Q: F(x, y, z) = (6x° sin(y) + cos(18z), xº cos(y), – 18x sin(18z) + 6z°)

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x − (sin(x))2   dy=

A:

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

A:

Q: in integrating the function fx cos() dx using intogration by parts, whut would you choose for your…

A: Solution

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

A:

Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

A:

Q: (x' cos(x')dx = %3D

A:

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: Find dy/dx by implicit differentiation: sinx=x(1+tany)

A: We have to find the dydx of the function by implicit differentiation.

Q: Find dy/dx by implicit differentiation. x²y2 + x sin(y) = 4 dy/dx %3D

A:

Q: Q₁) Find $dz 1. around unit circle of radius 1 and center at (0, 0) counterclockwise. 2. By using…

A:

Q: integral from -1 to 1 of arccos (y) dy

A:

Q: What are the new limits of integration if apply the substitution u = 7x + a to the integral sin (7x…

A:

Q: .A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Using double derivative test to get max value of x

Q: Find the area of a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your…

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the…

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

A:

Q: Find by implicit differentiation : arctan (xy)= y+x²y . dx

A: Given arctan(xy2) = y +x2y   We have to find dy/dx

Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

A:

Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: cos(xt) cos (sin(at)) dt D. tan x dx =

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: dy Find by implicit differentiation. dx 9y sin(x2) = 7x sin(y²) dy dx II

A: Topic:- Differentiation

Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

A:

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: Find dy/dx by implicit differentiation. 5+ 5.x = sin (ry²) dy/dx = %3D

A: Given that,   5+5x=sinxy2

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

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

Q: dy for y = dx 9t -dt. 9t + 1 iz's rule to find

A:

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

A:

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: Test for homogeneity

A:

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: Integral of sec^4(3x) dx

A: Given ∫sec4(3x)dx

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

A:

Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy