Find all zeros of f(x)=4x^3+16x^2−16x+20. Enter the zeros separated by commas. Enter exact value, not decimal approximations.

Q: Use logs and implicit differentiaton to prove (root(x))' = 0.5x^(-0.5)

A: Let y = √x Take log to the base e, i.e. natural log, i.e ln on both the sides, ln(y) = ln(√x) =…

Q: Find a rational (fraction) approximation for the value of 3√11 (square root 11, it wouldn't go…

A: We know that linear approximation (by using the tangent line to f(x) ) of f(x) at point (a,f(a)) is…

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

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Q: Find the constant a such that the function is continuous on the entire real line. Ax) = {2x2, (ах -…

A: Given that , the functionfx=2x2,x≥1ax-7,x<1We have to find constant a such that the function is…

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: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

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Q: Approximate the root of the equation using False Position method. Show at least 7 iterations.…

A: TO approximate root of the given equation using false position method.

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: f(x) = 6x3 - 9x + 4 +4

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Q: Use the second derivative test todetermine whether f(x)=-2x³+6x2-3 has a localmaximum or…

A: Given,          fx=-2x3+6x2-3

Q: Find an estimate of the root of the equation: xX - 6x = 0 located in the interval (2,3) using…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: By intermediate value theorem, if fx is continuous on an interval  a,b and fa≠fb, then there exist a…

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=4−67xf(x)=4-67x, and the line…

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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: Please answer number 1 use 4 decimal places. Find the positive real root of f(x) = x^4- 8x^3-35x^2 +…

A: Given function: fx=x4-8x3-35x2+450x-1001 Solve the equation using bisection method.

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

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Q: f(x)= (7x¹-5x-2)

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Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

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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 the root between [-1,0] where \( f(x)=(x+2)^3+2x-5 \) with error \( \epsilon=0.1\) by using…

A: given equation is fx=x+23+2x-5interval -1,0find the root of an equation by using false position…

Q: FIND THE REAL ROOT OF X.EXP(X) = COSX BY SECANT ITERATIVE METHOD CORRECT UPTO 4 DECIMAL PLACES.

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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: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

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Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Use Intermediate Value Theorem to show that the equation

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Use Second Derivative Test to find the location of all local extrema for f(x)=2x³+21x²+36x-1

A: Local extrema.

Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

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Q: 1. у %3D 4x2 — 3х — 2.

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Q: Suppose that f(x) = 17ex - exe Find f'(3)= ?

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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: By using intermediate value theorem locate a root for the f(x) = 2x3 - 3x2 - 6.

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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: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x)…

A: Let's find.

Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: sinh 2x cosh 3xdx.

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Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

A: Since, function is not clear so we assume fx=1x. We have to find the Newton's polynomial that…

Q: obtain a real root of a“ – 5x+1=0 with a = 0 until absolute error < 0.0001

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Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

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Q: Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic…

A: Topic:- limits and application of derivatives

Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: Find the smallest positive root for the given function by using the false position method with…

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Q: 4. Assume that æ € [0, 1] and write the error in the approximation to the error function using the…

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

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Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…