find the differentiate of h(t)= the 5th square root of t - 5e to the power of t

Q: Show that f(x) = x^3 + 3x^2 - 5 has only one zero in [1,2]. Then use the Newton's method to…

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Q: Find the local minima, the local maxima, and the inflection points of

A: Given,            A(x)=∫3x t dtt2+1

Q: Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = ex sin y at the origin. Estimate…

A: The given function is,

Q: D@ Salue +he initial value prablem 3+8inx co efficiente. using mothad %3D of undeler mined

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Q: Find a root of the set of equations around the point x0 = 0.6, y0 = 1.5 by the Newton-Raphson method…

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Q: Jse Müller's method to find the roots of f(x) = x3 + 3.5x2 – 40 with x2=1 and 8 = 0.01, and E, =…

A: Given: fx=x3+3.5x2-40 And, With  x2=1 δ=0.01εs=0.01% Formula used: Using miller method…

Q: The 2nd approximation to the real root of the equation e - 4x = 0 with initial guess xo = 0.3 using…

A: Newton Raphson method is the process of obtaining the roots of a function by repeated iterations of…

Q: / Use the Newton - Raphson method to estimate the root of f(x) = e* - x , employing an initial guess…

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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: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

A: The function fx,y=11-3x-y Then the taylor's formula for fx,y is, fxx,y=31-3x-y2fyx,y=11-3x-y2 Then…

Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: 3. Solve for the values of "x" in the equation f (x) = x +, using (a)Bisection Method, %3D (b)Secant…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Q2: Find a root of x - 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: Solution :-

Q: f(x) Vx+1

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Q: Find te equation of tle live of infer tedion of twu plene 2X-1y+2=4.

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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: 1 Find the quadratic approximation of f(x) = arctan(x) at c = Round the coefficients to four . √√3…

A: The given function is           f(x)=arctan(x)=tan-1(x) To find the quadratic approximation of the…

Q: Determine the real root of f(x)=5x3-2x2+3x-1. Iterate until the estimated error falls equal to or…

A: Given that:f(x)=5x3-2x2+3x-1

Q: Find the first approximate root of the equation 2x^3-2x-5=0 up to 4 decimal places using Xn=1.5…

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Q: Use the Newton-Rhapson method to estimate the root of f(x)= ex -x employing xo=0. E = 0.1%

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Q: Use Newton's Method to approximate the zero(s) of the function f(x) = x' +4x +1

A: f(x) = x5 + 4x + 1 Basic formula for Newton's Method is: xn+1 = xn - fxnf'xn f'x = 5x4 + 41 + 0 =…

Q: Solve the following by Vogel's approximation method

A: To find - Solve the following by Vogel's approximation method Destination/ Sources I II III IV…

Q: I Pind the root of the function byusing Newton- Raphson method) with Xo1,where fcx> = x²_5x +6

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the following PDE using the method of separation of variables and Fourier:

A: In this question, we solve the given boundary value problem by using the separation of variable as…

Q: determine the smallest positive root of x^2-5x+1=0. using method of successive approximations,…

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Q: 2. Apply Newton's Method to determine a real root of the equation f(x)=2x+24x+61x²-16x+1=0, for…

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Q: 4. Find the orthogonal trajectories of the family of parabola described by the equation (y– 3) = Cx.…

A: The solution of the problem is given in the next step.

Q: Find a root of an equation f(x)=2x3-2x-5 using Newton Raphson method

A: We will find out the required root.

Q: Find the total differential z = 5x3y2

A: The given function is z=5x3y2. Total differential: Let z=f(x,y) be continuous on an open set S. Let…

Q: Find the error propagated from the function y = x³ if an error of 0.06 occurs in the independent…

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Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using…

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Q: 8. Find a negative root of the equation x-x +11 = 0,correct to 4 decimals using bisection methods.

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Q: Find the general solution to the DE using the method of Variation of Parameters: у" - Зу" + Зу'…

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Q: 3.) Find the root of f(x) = e* -x using Newton's law of approximation.

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Q: Use the Newton-Raphson method to find the root of f(x) = lnx+x in the interval [0.5,1] with an…

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: 0.5(x – 4)2 = 2 + In x

A: To calculate the roots of the equation using (i) Newton Rapson (ii) Bisection iterative techniques

Q: Consider the function f(x) = x³ + 2x + 5. Estimate the root to eight significant digits using Newton…

A: The general form of an equation of degree 3 is given by ax3+bx2+cx+d=0, where a≠0. In this problem,…

Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

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Q: Find a successive approximation of the square root of 2 as a ratio of two integers by using the…

A: To find a successive approximation of the square of 2, take the function fx=x2-2. To find the roots…

Q: Find one of the roots of the function using Regula-Falsi method. £ (x) = x- V+1

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Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: What happens when you apply Newton’s Method to find a zero of f (x) = x1/3? Note that x = 0 is the…

A: We want to apply Newton's Method to the function f (x) = x1/3. But we already know that it has only…

Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: i. Find the real root of the given function f(x) = e²x − x − 6 = 0 by Newton-Raphson iterative…

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Q: Find the net change in ve]locity over [1, 4] of an object with a(t) = 8t − t2 m/s2.

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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: Use the linear approximation L(x)=2-(x/4) to approximate the numbers radical(3.9) and radical(3.99).…

A: 3.9 is close to 4. And 4 is being used for approximation.For radical(3.9) , x=4-3.9=0.1We have to…

Q: Differentiate, and make sure to show all your work: 3z ²-2 Y= 5 cosh z

A: We have to differentiate the given expression, y=3x2-25cosh x Apply the quotient rule for…

Q: Find the antiderivative of (2* square root of x) + (3/x^4)

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Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k