If w = f (z) = z^3, find the real and imaginary parts v, u and calculate f times z = 1+ i %3D e 8:22 es

Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: To evaluate fx (cos x2)e* dx, use integration by parts. What is the best choice for u and du?

A: Consider the provided integral, ∫ xcosx2ex2dx Evaluate the provided integral. Apply the substitution…

Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: xy(y? + 1)dx + (x²y² – 2)dy = 0, y(1) = 1

A: Given: xyy2+1dx+x2y2-2dy=0, y1=1 ⇒xy3dx+xydx+x2y2dy-2dy=0 ⇒xy2ydx+xdy+xydx-2dy=0 ⇒xy2 dxy+xydx-2dy=0

Q: 3. S sec z tan z dz 2 2

A: Given: 3.∫sec23z tan23zdz

Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by…

Q: (3x? + у?)dx — 2хydy %3D 0

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Q: 2, t'y"+ty'+y= Cos(int)

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Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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Q: (x – y²)dx + 2xydy = 0

A: We have to find integrating factor of given differential equation.

Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: EXAMPLE 6 Evaluate , y sin(xy) dA, where R = [1, 2] × [0, 7]. SOLUTION If we first integrate with…

A: ∫∫R y sin xydA=∫0π∫12y sin xydx dy                        =∫0π∫12y sin xydxdywhen we integrate…

Q: A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show…

A: Given: A cylinder of radius r and height h has volume V=πr2h a)  show:  ΔVV≈2Δrr+Δhhb)  Percentage…

Q: ydx — хdу %3D у?dy

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Q: Normalize Y,'(0, ¢) = N sin© e¬lº and find out N %3D

A: The given function is, Y1-1θ,ϕ=Nsinθe-iϕ Where N is normalization constant.

Q: find dy/dx

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Q: 5. (x2 + y² + 1)dx + x(x – 2y)dy = 0, x = 2,y = 3 %3D

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Q: Question The approximation of fxln (x + 5) dx using two points Gaussian quadrature formula is:

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Q: The integrating factor of the given DE are already given below. What is the value "n" 3y(y2-x-1)dx +…

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Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: We have given thatthe radius r and height h of a right circular cone are related to the cone’s…

Q: Show that the antiderivatives are equivalent.                                                     ∫…

A: To show that ∫3x21-x6dx = arc sin x3+C Substitute  u = x3. Then                  dudx=3x2du  =3x2dx…

Q: To integrate 3x² e4² ΟΧ dx' we apply integration by parts and in the form u dv, u is set as:

A: ∫x3ex2dxTo do integration by parts we have to get it in the form ∫fg'

Q: The dimensions x and y of an object are related to its volume V by the formula V=8x^2y. How is dV/dt…

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Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions…

Q: 1 cone of radius x and height y is given by V = =Tx2 y. Suppose that the 3 dy Find when x = 2 and y…

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Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - х)dy %3D 0

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Q: Use the method discussed under "Integrating Factor found by Inspection". (x² + y² + 1)dx + x(x –…

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Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: We can solve this using given information

Q: 1 Integrate by parts: |xcos x dx 3

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Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

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Q: 1. y(x³ – y)dx – x(x³ + y)dy = 0

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Q: Find the general solution using Integrating Factors Found by Inspection y(x^2 y^2 – 1)dx+ x(x^2 y^2…

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Q: What is the integrating factor of the differenetial equation y = a3 – 2xy? O e

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

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Q: What is the integrating factor of (ry + y) dr + (r + 2y-1) dy %3D

A: Given xy+y2dx+(x+2y-1)dy=0Compare above differential equation with…

Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.

Q: 1 The volume of a right circular cone of radius x and height y is given by V Tx y. Suppose that the…

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Q: B. Integration by Parts 1. xcosx dx

A: We know that integration by part formula is given as  ∫uv dx = u∫vdx - ∫dudx∫vdxdx To evaluate: ∫x…

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: uct Theorem. 10. K y KM=

A: Solution

Q: The volume V of a right circular cylinder of radius r and height h is V=πr2h (a) How is dV/dt…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.