1. Find the roots/s using Secant Method a) x*-x-10 = 0

Q: with the intial conditions of x(0)=5 and x'(0)=3 solve the equaltion of x''+3x=0 using the equation…

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Q: 2) Use the false position method to find a root of the equation ex + 2-x+ 2cos x = 6 in the interval…

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Q: Solve the following equation; 2 tanh- 2r = In(r – 2) – In(x). %3D

A: We solve this following equation using simple mathematics and its solve in a simple form of…

Q: 2.3 Find the general solution of p fanx+q tany =lanz

A: Given:   P tanx+q tan y=tanz→           1   is of the form pP+qQ=z:

Q: 2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where x2 4 f(x) =…

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Q: The smallest positive, nonzero root of cosh x cos x - 1 = 0 lies in the interval (4, 5). Compute…

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Q: 3. Find the roots using fixed point using initial guess 50.X with an accuracy of 2%

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Q: 1. Find a real root of the equation x³ – 18 = 0, correct to three decimal places by using Bisection…

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Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…

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Q: Determine the order of the zero at the origin of f(x) = ² (cos(z) - 1 + sin² (2))

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Q: 6. Find all the values of z satisfying sinh z = = -j1.

A: What is Hyperbolic Function: The hyperbolic functions in mathematics are comparable to the…

Q: 7. Use the Intermediate Value Theorem to find an interval of length 1/2 in which the equation In r =…

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Q: 5. If y= tan x, prove that y``=2(1+ y² )(3+ y²).

A: Prove the given equation

Q: 18 a Show that / (1 + sin 2zx)dx = n, for all positive integers n. b Sketch y = 1 + sin 27x, and…

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Q: 2.2 Use the definitions of hyperbolic functions to solve for A and B if: 5e* – 4e* = Asinhx+B coshx

A: Definition used: sinhx=ex-e-x2coshx=ex+e-x2 Consider the given equation as 5ex-4e-x=Asinhx+Bcoshx…

Q: 1. Find the approximate root of the equation using the Secant method correct to three (3) decimal…

A: Note:- As per our guidelines, we'll answer the first part of this problem as both the part have…

Q: 2- Find the largest possible interval in which the given DE has a unique solution tan(x)y" + xy'-y =…

A: Given equation is, tanxy''+xy'-y=x3 ,x0=-2,x0=5 We can write the given equation as,…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²-) < 0, ƒ (x) has a root in [0]. If we…

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Q: Use the false position method to find a root of the equation (e power x) +(2 power −x) + 2cos x = 6…

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Q: Write the formula for Newton's method and use the given initial approximation to compute the…

A: The solution is given below

Q: Use false position method to find the root of f(x) = e* (3.2 sin x - 0.5 cos x) on the interval…

A: We need to find the root of fx=e-x3.2 sin x-0.5 cos x The given interval is 3,4 Also, we are…

Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

Q: 3- Find the smallest positive root of x -e*=0, correct to three decimal places, using (method of…

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Q: Solve using the false rule method f(x) = /x² + 1 – tan x %3D starting at the interval [0.5,1]

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Q: Solve 3 tan(z) = V3 over the interval [0, 27)

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Q: Solve for a root/roots of the functions 2. x2 – 3 sin x + 2 In(x + 1) = 3. 5 Applying both a.…

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Q: Find the first approximation to the root of the equation xe" – cosx =0 using Regular-Falsi method…

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Q: Apply Newton's Method using the given initial guess. (If an answer does not exist, enter DNE.) y =…

A: The given function is y=2x3-6x2+6x-1, x1=1 find the derivative of y  y'=6x2-12x+6, x1=1

Q: 3. Find the root of the function x) - sin x +xe between -3 and -4. using Bisection and Newton's…

A: We have to find the root of the function fx=sinx+xex in the interval using the Bisection method. We…

Q: 12) Use Newton's Method to find the closest root to xo =1 for f(x)=x-In(x+4)

A: Given: Function f(x)=x-ln(x+4) and x0=1To find: use newton method to find the root near to x0=1

Q: Find the root of f(n) = 3x - cos(x) -1 = 0

A: Please rate and feel free to ask any query about any part.

Q: 2)Use Newton-Raphson algorithm to find the approximate roots of the following equation f (x) ==+…

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Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's…

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Q: Solve the nonhomogeneous opdr – 2rdo = q' In odo. equation

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: 1 Use the definition of the hyperbolic functions to prove the identity 1– - = tanh?(2x) cosh?(2x)

A: Explanation of the answer is as follows

Q: 6. S(x)= In(tanh 5"

A: As per bartleby guidelines we only give first question answers.

Q: Use the Successive Approximation Method, to find correct to tigures a real root oF the fun čtion…

A: The given equation,extanx-1=0

Q: 1. Determine the real root of the equation r sin(r) + cos(x) bisection method with 3 decimal places…

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Q: 2.2 Use the definitions of hyperbolic functions to solve for A and B if: 5e* - 4e* Asinh x+B coshx…

A: Consider the following equation:…

Q: 1 Use the definition of the hyperbolic functions to prove the identity 1- - tanh? (2x) cosh (2x)

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Q: 1- By using simple Iteration method, find one root of the following equation: b- e* * tan x = e-3n/2…

A: The iteration method uses the formula, xn+1=ϕ(xn) to perform the iteration.

Q: Approximate the root of g(x) = 2 + x – eª between 1 and 2 to within 0.05 of the exact value using…

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Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1+ x ) - 1. Use 5 %3D iterations of…

A: Given function is f(x)=sinx+cos(1+x2)-1 the graph of the function is From the graph we can see that…

Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

A: For the solution of the problem follow the next step.

Q: (a) Find all the solutions of cosh z = 4 (Hint: cosh z =

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Q: Prove that for all x € [1, 00), – sinh (- |cosh'(x)|) = V -1. %3D Ouest!

A: Proving of function  sinh(cos-1(x))

Q: 3: Solve ODE Cist Order a. dY

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Q: find all solution of z   sinh(2z)=-1

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…