Find the root of the function fx) = x³ - x - 1 using secant method with Xo = 0 and x¡=1 %3D a. X2=2.86667 X2=1.16667 X2=2.36667 O d. X2-1.96667

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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Q: 3.82x5 – 3.23x³ + 1.73x² – 0.83x = 0 -

A: Use the formula of secant method to determine the approximate roots. Determine the iterations till…

Q: 1. O A. 4 +0+ ヤ+LXA 3 x² 1 O B. (x? + 4) /2 - 4x² + 4 +0 312

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Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Which of the following functions is a solution of the exact equation? (6x + 4y)dx + 4xdy= 0.

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Q: 8 him XT 2 (secx tanx) 1

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Q: V3/2 1 dx%3D 6). V1- x 1/2

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Q: 3 -x Evaluate dx

A: Given : ddxe3x3-x2

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: Calculate the root of the equation given as f(x) - x3 + 3x - 5 with the Regula-Falsi method in the…

A: Let  f(x)=x3+3x-5  with range [1,2] f(1)=1+3-5=-4f(2)=8+6-5=9 1st Iteration: Let a=1, b=2…

Q: 3/41 x² 3/5 √2x³-1 dx.

A: Consider

Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: f(4x + 1)dx if f(x)dx = 1. Find Enter the exact answer. f(4x + 1)dx

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Q: Use the secant method to approximate one of the real roots of f(x) and complete Table III. Use…

A: Secant method: The secant method is a root-finding algorithm that uses a succession of roots of…

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: 1-√x)³ 3 √x dx

A:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: ex - 32 √x +x 22

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: evaluate 1/(2x(x2-9)1/2 )dx    and what method did you use

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Q: B) Solve the following 3x -dx (x + 5)(2x - 1)

A: Topic = Integration

Q: SOLVE THE ODE y''+9y=xexp(3x) + 6

A: Step 1: Step 2:Step 3:Step 4:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.