Find a root of an equation f(x) = (2x^3) -2x-5 using False Position method (regula falsi method).

Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: arctan(1 – x) + arctan(1 + x) arctan .8,

A: Iteration:- To solve an equation using iteration, start with an initial value and substitute this…

Q: Find the first derivative 10x6/5^2

A:

Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

A:

Q: Form the polynomial equation with integral coefficients whose only roots are given. 2,-1,1

A: Given roots are 2,-1,1 Now we have to find the equation of polynomial with

Q: Use ab-initio method and find the derivative of 3x° +5x² – 2x-12.

A: Differentiation is the rate of change of some variable with respect to the other variable. First…

Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: Find the approximate root in 5th iterations of the function f (x) = x - 4x2 + x +3 in the interval…

A: given fx=x3-4x2+x+3 find the approximation in 5th iterations of the function in the interval -2,-1…

Q: solve e^-x=lnx using bisection method.

A:

Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: f(x)= (7x¹-5x-2)

A:

Q: Use the second derivative test to find the extre #1) f(x) = x³ + 2x² - 4x-8 %3D

A:

Q: Solve the equation in the attached image:

A: Given:

Q: Find the derivative of sech(2x1/9)

A:

Q: Use Fixed-Point Iteration Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

A: Solutions

Q: Find derivative of 5x^2/3sqrtx using the Product Rule

A: To find the derivative of f(x)=5x23x using the product rule.

Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

A:

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x - 1 (бх? + 6х — 4)arctan x(- In(6x2 + 6x – 4) +…

A: Given function is  y=6x2+6x-4arctan x Taking log to each side, we get lny=ln6x2+6x-4arctan x   We…

Q: Find the smallest positive root by using fixed- point method f (x) = In(3x)– x² +2 %3D with three…

A: Given: fx=ln3x-x2+2. We have to find the smallest positive root by using fixed-point method with…

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Find anti derivative of 4cscxcotx + 3/(sqrt(1-x2) - 1/(cubrt(x5)

A:

Q: How to solve for the derivative of 5x^(1/2)- 4x^(-1/2)-1, fully simplified?

A: Given:5x1/2 - 4x-1/2 - 1To determine the derivative.

Q: find an estimate of the root of the equation x3 + 2x – 4 = 0 using regula-falsi method. Perform…

A: Regula falsi method or False position method is one of the method used to find the approximate root…

Q: Find the smallest positive root by using fixed-point method f(x) = In(3x)– x² +2 with three…

A: we have f(x)=ln(3x)-x2+2=0 x2=ln(3x)+2x=ln(3x)+2using fixed point iterationxn+1=ln(3xn)+2take…

Q: f(x) = xe-* хе – sin²x

A:

Q: Find third derivative of  f(x) = 6x^2-7x+8

A: We have to find third derivative of  f(x) = 6x2 - 7x + 8 The first derivative of f(x) is  f'(x) =…

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: Solve by using gamma funcien. 2.2

A: We find value of Gamma (-2.2)

Q: Use ab-initio method and find the derivative of  3x3+5x2-2x-12

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Q: Find the root of equation by using muller method

A:

Q: 2- 3x +8 2-X2C

A: Use chain rule to find the derivative. The formula for differentiation is  ddxxn=nxn-1

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: Use ab-initio method and find the derivative of 3x +5x2 –2x-12.

A: Ab-initio method : Let us consider a function f(x) the method ab-initio given the derivation of the…

Q: Find an estimate for the positive root of x³-x²-x+1=0 using seven iterations of the Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: Ax) = (5 – 3x²)"V6x² - 6x = 8x – 12

A: Given: fx=5-3x276x2+8x-12 To Find: The derivative of the given function

Q: Solve using partial differentiation

A: Given that  uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: Use ab-initio method and find the derivative of 3x +5x² – 2x-12.

A: Ab-initio Method: ddxf(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: 13x

A: