(x – 2)² – In x = 0, [1,2]

Q: b) i. Use the Maclaurin series for e to find an power series expression for e-1/2x² dx. ii. Hence…

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: Obtain the real root of the equation x^3-3x=0, Using newton Raphson method, after third iteration.

A: The given equation is x3-3x=0Orfx=x3-3x The method is given by xn+1=xn-fxnf'xn Let x0=0 be the…

Q: 1. Find a general solution for ODE dy(t) =ay + bcos(at) dt using Euler's formula (don't forget to…

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Q: Solve using the undermined coefficient of differential equation

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Q: Use Newton’s method to find the root, x⋆, of the equation, f(x) = x^2e^−x − 0.6, up to machine…

A: We have given f(x)=x2e-x-0.6, x0=0.2  ∴f'(x)=2xe-x-x2e-x now using Newton’s method iterations to…

Q: 3xy''+y'-y=0 solve the equation

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Q: solve 9'' + 9y = 0

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Q: V34

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Q: 1 = felan(4x*). sec²(4x²)xde 2

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Q: - ydx + (x ++xy )dy= 0

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Q: A tank initially contains 100 gal of brine whose salt concentration is lb/gal. Brine whose salt…

A: Given that The initial volume of brine in the tank = 100 gal The initial salt concentration of brine…

Q: 1. A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 90% of the…

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Q: (1/y)+(6/y^2−100)−(3/y^2−10y)   how do i find the LCD then solve?

A: First we factor y^2-100= y^2-10^2= (y+10)(y-10) [used a^2 - b^2=(a+b)(a-b) formula]

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: The side of an equilateral triangle increases at the rate of 2 cm/hr. At what rate is the area of…

A: Value=?

Q: Find a root of the x^4-27=0 equation using the Newton Raphson method (in 4 steps)

A: The given equation is x4-27=0. Let fx=x4-27. Then, f'x=4x3 Here, f2=24-27=16-27=-11<0…