find the extrema for f(x,y)= x^3 +y^3 -6xy

Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: integral (In x) 3  dx

A:

Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: What value of b > -1 maximizes the integral function

A: Given,

Q: evaluate using Integration by Parts.

A:

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: Find y' by implicit differentiation 1. x²+4x-3y²+4y=0 2. 2xy+π sin y = 2π

A:

Q: Find all second order partial derivative with respect to variable x and y. F(x,y)= x cosxy + y sinx…

A: We have to find all second order partial derivative with respect to variable x and y: Given:

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: 4) Use integration by parts to find f x² In 5x dx

A: As per our guidelines we need to solve only one question.please, repost the remaining questions as…

Q: dx J (3+ x²)3/2

A:

Q: |х — 1 x5

A: Use the method of substitution to evaluate the integral. I=∫x−1x5dx=∫x−1x52dxLet u=xdu=12xdxSo,…

Q: 2 x+ 2x dx x°+3x2 – 1

A:

Q: Evaluate f x³e2x dx using integration by parts

A:

Q: When we find the area between an upper curve f(x) and a lower curve g(x), we integrate f(x)-g(x).…

A:

Q: 6. f In² x dx

A: Topic = Integration

Q: integral of sec^3 x

A:

Q: Find the fourth derivative of f (z) = 2z¬3 Vā lal * sin (a) f(4) (z) =

A:

Q: he integra = 3/2 is dz Z-2

A:

Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Given

Q: Find the derivative of y: 1- y = (cos 0)V2 Cos O 2- y = 7sec ln 7 3- y = 2sin 3t

A:

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: Evaluate In (ax) dx using integration by parts

A: Follow the procedure given below and use simple intergation by parts.

Q: Estimate the value of integral 3 to 1 dx/x

A: Given,  ∫131xdx

Q: Find all second order partial derivative with respect to variable x and y. F(х,у)- х сosxу + y sinx…

A:

Q: Evaluate the definity integral  from 0-4 (x-3)(x-5)dx

A: Evaluate the integral ∫04x-3x-5 dx.

Q: What is the derivative of x² + y² = 9 using mplicit differentiation? dx = xy dy dx = -xy dy dx dy dx…

A: Given query is to find the derivative of the expression.

Q: Find the indicated partial derivative.

A: Given that, f(x, y) = y sin-1 (x, y) We have to find fy(1, 1/2).

Q: Find the average rate of change of LaTeX: f\left(x\right)\:=3x^2+1 f ( x ) = 3 x 2 + 1 between…

A: Formula for average rate of change is f(b)-f(a)b-a.

Q: 23-4z2-2一4 y = %3D 1+ Va

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 f'(x)'f f (x)= arctan (Inx) %3D

A: Using composite function formula.

Q: evaluate using Integration by Parts.

A:

Q: integral In x 2 dx

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Q: Find the the Yegion bounded by area y= tanx 4

A: integration gives the area of any function y .

Q: What is the (a). general solution to xydx-(x+2) dy=0? (b) integrate.

A:

Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

A:

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

A: Given: ∫x3sinx2dx

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

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

A: Given ∫sec4(3x)dx

Q: In x dx Evaluate

A:

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

A:

Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…

Q: A curve y = /(x) have length of the curve from x 0 to x= n/2. dy Vcos(2x - 2) as its first…

A: