rom the solution provide on #9, how did you get from the 2nd derivative 2 - 2/t3 =0  to 1-1/t3 =0?

Q: i. Find the real root of the given function f(x) = e²¹ − x −6=0 by Newton-Raphson iterative method…

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Q: Q3. Find the root of equation Cosx-2x = 0 near to 1 using iteration method correct to 2 decimal…

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Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

Q: 4.20 Consider the function f(x) = x' – 2x + 4 on the interval [-2, 2] with h = 0.25. Use the…

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Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

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Q: Q1. Use Newton-Raphson method to locate the first positive root of f(x) = tanx - 2tanhx = 0

A: In Newton-Raphson method  x0 is the initial solution of f(x) then further solutions are obtained…

Q: Q-2) Prove that converting the Higher-Order derivatives to the finite difference formula would be:…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 4. Find the derivatives with respect to x of the function 2 – 3x^2. 5. Differentiate ax² + b to the…

A: Using derivative of composite function.

Q: Find the derivatives of the following from first principle: f(x) = sin( 3x - 4 )

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: у (4) %— Зх3 8 e x7

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Q: Use differentials to approximate VI2.3 . b Express your answer as a ±- where a is the nearest…

A: Given 12.33 Using differential to approximate 12.33  Let y=x3=x13dydx=13x-23dy=13x-23dxdy=dx3x23

Q: The 2nd derivative of the given functions is 3 ponts y = 3 cos (4x- 5) None of the above -48 cos…

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Q: The 2nd derivative of y = 24r is A 2*+2 In(8) B 2tr+4 In(4) © 24r+4 In(2)

A: Given that: y=24x

Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

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Q: estion 9 Find the derivative of f(z) = 3z13 - 4+1. IDo? la sin (a) f' (x) =}

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: given: f=x3y2-yx+lnx to find:fyyxxx

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

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Q: A mass of 2.5 kg is suspended from a spring with a known spring constant of 10 N/m and allowed to…

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Q: Find one of the roots of function f(x)=x5-14 by applying Newton-Rhapson Method twice. Initial point…

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Q: Find the equation of the tangent line to the function f(x) = ln(5x) at x = 8. (Use symbolic notation…

A: We have to find out the equation of tangent

Q: 3. The slope of the tangent line to f(x) = A tan(¤) is 1/2 when z = 2n/3. Deter- mine the equation…

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given :             cosh(3x2y) = x + ln(exy + 1)   To find :            ∂y∂x

Q: 3. A body of mass 5 kg is dropped from a height of 100ft with zero velocity. Assuming no air…

A: Given: A body of mass 5 kg is dropped from a height of 100 ft with zero velocity. To Find: To find…

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The nth root of a number can be approximated by the recursive formula R. k+1 A == ((n-1)R+ (R) n-1…

A: Given that,The nth root of a number can be approximated bythe recursive…

Q: . Use Euler's method with a step of 0.1 to estimate f(2.5) if f(1)=-2 and the derivative of the…

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Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

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: Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement…

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Q: Physicists sometimes have to compute derivatives of the following form: (1) o2 – 1 do do Use the…

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Q: 2.) Determine the root of the equation by Newton Raphson (should converge at seven decimal places)…

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Q: (1) For every natural number n, x" = nx"-1 (you may use the product rule for derivatives and that x…

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Q: 4) By using Newton's backward formula for the derivative, find f (0-9) + f (0-9) 6 1 (0-8) f(0.8) N…

A: We first make backward difference table: x y=f ∇y ∇2y ∇3y ∇4y 0 0             0.12-0=0.12…

Q: 2. Find the equation of the tangent line and normal line to the curve f(x)= 3x at the point(1,1). x²…

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Q: Calculate ∞0 1 e -3t √t - dt

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Q: Use Newton's method to approximate a root of the equation 5x³ + 2x + 2 = 0 as follows. Let x1 = -1…

A: Newton’s Method: If xn is an approximation a solution of f(x)=0 and if f′(xn)≠0, then the next…

Q: Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y =…

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Q: 5- When the first derivative of the y = sinx function at x =pi/4 is calculated with the forward…

A: We will use basics of numerical methods here

Q: The derivative of the function f is defined by f'(x) = x? – 5x + 5 cos (3x? – 3x). If ƒ(-2) = –4,…

A: Given: f'x = gx = x2-5x+5cos3x2-3xf-2 = 4------------------------------Aim: To find absolute maximum…

Q: Runge-Kutta methods of order 2 give accuracy more than Euler but have the same problem of finding…

A: TRUE

Q: 3. Find the first derivative of the function f(x)= 2x3-4x+1 using forward Difference formula if, X1…

A: Solution:

Q: On the graph of f(x)=sinx and the interval [0,2π), for what value of x does the graph cross the…

A: Plot the graph of sinx given below

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

Q: Newton's meathod given f(x) = x3 + 3x + 1, if x1 = -(1/3) as the first approximation to find x3 to…

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Q: 3) Solve using Newton-Raphson method to locate the root of f (x) = sin/x – x Use an initial guess of…

A: We have to find Approximate Root of the Given equation by Newton Raphson Method.

Q: C(0) = 1000 and C'(x) = 400e^(-0.1q) + 8.  Then C(x) is A.  -4000e^(-0.1q) + 8q + 1000 B.…

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Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

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Q: 3 Find the derivative of the following functions. (Answer five only) 1-r= 120--4e-3+e- 2- y = (sin x…

A: differentiate

Q: Q. 2. a) Find nth order derivative of f(x) = In(2x-7). b) Find 3rd order derivative of y with…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…