Use the Intermediate Value Theorem to show that there is a root of the given equation in (1,2) X - X - 4 = 0, the specified interval. Find the root approximated to three decimal places.

Q: Find an equation of the tangent line at the point indicated. f(x) = 5x2- 2x,    X = 1

A: Solution:Given   f(x)=5x2-2x       x=1To find the equation of the tangent lineFormula:Equation of…

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…

A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: Find the equation of the tangent line to f(x) = 4+4x at a = 4.

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Q: Find the equation of the tangent line to the function f(x)=2x^3+3x^2+4x+2 at the point where x=−1

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Q: Find the tangent line to g (æ) : 16 - 4/ at x = 4.

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Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

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Q: Find the slope of the tangent line to the graph of f(x) = x2 - x at (4, 12).

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Q: Find an equation for the tangent line of the graph of f(x)=x^2-1 at (4,15).

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Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: B\ find the root of f(x)=x-x-1, in [1, 2] with 4 decimal places and E-0.009 by using Interval…

A: Given:   fx=x2-x-1 in 1,2

Q: Find the equation of the tangent line to f(x)=5+2x  at  a=2.

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Q: Using the successive approXimation Me thod, find the smallest positive root OF x5 - 64X +30=0,…

A: according to the guidelines I am solving only first question

Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2…

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: Find the tangent line to f(x) = (2-4x^2)^5 at x=1

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Q: Find an equation of the tangent line to f(x)=2x^3-4x+6 at x=-1

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Q: Find the êquation of the tangent line to the graph of fCx)= 2x-5 at the x+1. Point at which x30 (617

A: We have to find the slope of tangent first.

Q: Estimate the slope of the tangent line to the graph of the following function at the point x = -6. f…

A: Explained below

Q: Suppose that your first guess is lucky, in the sense that x0 is a root of ƒ(x) = 0. Assuming that…

A: Newton’s method is performed to obtain the approximations using the following formula.

Q: Find the equation of the tangent line to the f(x) =4 + 4x at a=2

A: As we know that tangent is a straight line. And also that tangent of a curve or a line is have…

Q: Find the equation of the tangent line to the graph of f(x)= 1 at the point (2,1). %3D X-1

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Q: Find the tangent line of the function f(x) = - 4Vx at x = 4, and the point at which tangent %3D line…

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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: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

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Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: The slope of the tangent line to the graph of f(x)%3D at a =-1 is: x2 - Select one: 1. a. O b. O c.0

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Q: Find the equation of the tangent f(x) = 4x - 8sqrt(x) at x=16

A: Given:     To determine: Equation of the tangent at x =16

Q: Find the slope and equation of the tangent line to f(x) = 3 – 2x at a = 3 using th definition.

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Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: Find the equation of the tangent line to the function f(x) = –3x² form y - 2x at the point where x…

A:

Q: Find the equation of the tangent f (x) 4x – 8/x at æ = 16.

A: Given, equation of curve is fx=4x-8x. To find the equation of tangent line at x=16 find the point of…

Q: Find the exact value of x in the given interval that has the given circular function value.

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Q: Find the equation of the tangent line to the function f(x) = 2x° + 3x2 + 4x +2 at the point where x…

A: Given : fx = 2x3 + 3x2 + 4x + 2

Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…

A: we have to find tangent line at x=-2given

Q: Find the equation of the tangent line to the function f(x)=−4x2−3x+2 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1given

Q: Find the equation of the tangent line to the function f(x)=−3x3−2x2−1 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1

Q: The slope of the tangent line to the graph of the function y=7V=-3 at (9, 18) is O 1.83 O-2.67 O…

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Q: Find the slope of the tangent line to the graph of f(x) at the point (1,2). The function is…

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Q: Find the equation of the tangent line to the graph of f(x)=5x3+4x2−1 at x=−1.

A: We have given.

Q: Use Newton's method to estimate the smallest positive root of f(x)=-xr+2x² -5x+1.

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Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the slope of the tangent line to f(x) = x² – 3x at (-1,4). O 4 O -1 O 2x-3 O-5

A: Given query is to find the slope of the tangent at (-1,4).

Q: Find the equation of the tangent line to f(x) = (36 + 4x²)¯ at x = Use your answer to (a) to…

A: (a) Given,              f(x)=(36+4x2)-12       at  x=0.

Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

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Q: Find the root(s) of f(x) = x-12.42x +50.444x-66.552 in the interval 4sx56 to accuracy of 0.001.

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Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: Eind the tangent line to m(x) = 16-X at x=2

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Q: Find an equation of the tangent line to the graph of the function f (x) = (2x – 1) In x when x = 1

A: Given function is f(x)=(2x-1)ln(x) Slope of the graph of f(x) at any point is given by, m=f'(x)