3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

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

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Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

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Q: (2a+1) 5. S -dx (z+2)*(x–1)*

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Q: 3. Integration by parts a.j 18x ( x+ 4)»

A: Given

Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

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Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

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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: 18 dx Integrate using trig. Substitution: S- x² V9– x²

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Q: 5. Find fSp(x + y)² dx dy, wh- region in Fig. 17.2.12. y = x

A: Answer is 7/12

Q: 4) S(x, y) = (4x-x* )cos(y) on the Ans. Absolute max.: 4 at(2,0) 3/2 Absolute min.: at 2 rectangular…

A: Given

Q: [2] Determine the values of n and h required to approximate | a In(x)dx to within 10-10. Use (a)…

A: Hello. Since your question has multiple parts, we will solve first question  for you. If you want…

Q: Q8 Integrate by parts: x sin x dx

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Q: The integrating factor of the DE   y(2x - y + 1) dx + x(3x - 4y + 3) dy = 0 is

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Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Jse the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+3/x) 1, dx, 1+x2 I =

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Q: Ql: Approximate: 4 dx x – 1 Using: 1- Trapezoidal Rule (4 subintervals) 2- Simpson's Rule (n=8)

A: VALUE OF INTEGRAL BY TRAPEZOIDAL RULE IS 3.116666666 VALUE OF INTEGRAL BY SIMPSON RULE IS 3.09872…

Q: Use Euler's method to estimate y(0.02) ey-x y' 1 + e²y ,y(0) = 4

A: Given differential equation is y'=ey-x1+e2y with the initial condition  y0=4 and step size is…

Q: 2. y(2x – y + 1)dx – x(3x – 4y + 3)dy = 0

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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: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

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

A: Given: y6y2-x-1dx+4xdy=0

Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: An integrating factor which convert the D. E. y p(y)dx – (Qly) – p)x)dy = 0, into exact is given by

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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: Approximate y(0,2) by using simple(not improved) Euler method and calculate the error percentage at…

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

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Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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Q: Use Euler's method to estimate y(0.02) ey-x y' = 1+e3y „y(0) = 4 0.01) What is the error in the…

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Q: 5. The integration form of , XY dA where Dis the portion of x+Y = 2 in the 1" quadrant will be

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Q: M3.1 Integration by Parts (IBP) 1. Sx³e*/2dx S* x sin 2x dx 2.

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Q: Use Euler's method to approximate the solution of the IVP, yx? – 1.2y, y(0) = 1 on the interval [0,…

A: Euler's method: Euler's method is used to find the approximated solution of first order differential…

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: The integrating factor of the DE (x^2 + y^2 + 1) dx + x(x - 2y) dy = 0 is

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

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Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-8)dx…

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Q: Use Euler's method to numerically integrate dy -2x3 + 12x2 – 20x + 8.5 %3D dx from x = 0 to x = 0.5…

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

A: In order to find the value of 'n', follow the following steps.

Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: 1. Defermine the integrating thators of the pallo wing non- exnet exact esuations. A. (1+ 4xy -…

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Q: 3. Find the solution to the equation 2ydx – 3xy*dx - xdy = 0 using integrating factor by inspection.…

A: First we find integrating factor to make it exact differential equation.  Then find it solution.

Q: 1. Evaluate S Vx3 +1 dx dy by reversing the order of integration.

A: Given:

Q: Given Z = ye 3r + 2y; where a = ln 2 and y = 2 with possible errors Ax = 0.01 and Ay = 0.03.…

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Q: Let y = sin(5x). If Aæ 0.4 at x = 0, use linear approximation to estimate Ay %3D Ay = %3D Find the…

A: delta y here represents the change in the value of y when x changes from x= 0 to x =0.4.