1 Function on the interval (-3,3) and has n=5. Draw the graph. 2 x +1 Determine the approximate area using the trapezoidal rule and approximate the area using the simpson's rule.

Q: 4. Solve the following 2nd-order OPES (5 Steps) day - (d dx² + (1-1) dy Y(0) = 4 Y(0) = cas / h. A

A: Let us solve the given 2nd - order ODE using Euler method in the next steps.

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A: Plane  3x+2y+z=6in first octantz : 0→6-2y-3xy=0→6-3x2x=0→2 Draw the graph

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A: A partial differential equation is an equation containing more than one independent variable, one…

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Q: 10. Write and simplify the integral that gives the arc length of the curve y = x³ +500 for -1 ≤ x ≤…

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A: Let assume  Width  of rectangular classroom = W=    x Length of rectangular classroom =L=    2x+1…

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Q: (2) Use contour integration to compute the following integrals. 2π (a) √2 cos(20) dv 5 + 4 cos v dx…

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Q: 03 (1) , 0،65 = (لار = 9 + ۱ - ( - ) .b 1

A: Given the 2nd order differential equation:  x2-xy''-xy'+y=0 with conditions  y12=0.65, y'12=0.3…

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A: Given: cosh(4/y)-5ln(18y)y''=2cos(5yx)-y12y'+4x To find: Order of given differential equation.

Q: Equation: f(x)=2x-x-1.7 Tolerance: x10-5 Assume x = 0; b=2

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Q: 5. Show that the following two matrices are not similar! (use similarity invariant table) ГО О 11 A…

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A: We can solve this using given information

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Q: Solve the boundry - Valued PDE 24 = 4 34 84 by ulory)=8e³y using the genral method ans: u(x,y) = 8 e…

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Q: Equation: f(x) = 5cos(x) + sin(x) - 2sec(x) Tolerance: x10-5 Assume x = 0.5 (in radian)

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A: Solution :

Q: 5 By Separation of variables, Solve the following PDES- ²4 . = 4 24 dx² dt² 0 o u(e,t) = u(s, t) =6…

A: For solving the coefficients use the Fourier half interval sine series

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Q: (b) Q(√2, √3) over Q(√6).

A: This question from field extension

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A: First we will check if the given differential equation is exactly if it is not exactly then we will…

Q: (5 6 By Separation of variables, Solve the following PDES :- ²4 24 . 84² dx² 0 o u(e,t) = u(s, t) =6…

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A: Given 7 or more natural numbers ,we have to prove that there are always TWO numbers whose sum or…

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Q: (j) F= R, V = {vER: Un converges as n → ∞0}; (k) F= R, V = {v ER: un converges absolutely as n→ ∞0};…

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Q: By Separation of variables, Solve the follow PDES :- ²4 d²4 dt² =43 2 dx² •o u(e,t) = u(s, t) =6…

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