in the interval [0, 1]. Use the method until successive approximations obtained by a calculator are identical.

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A: Given,           The distance traveled in the time interval 0≤t≤6 is given by…

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A: Consider the following:  Differentiate the function and find critical point:…

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A: f(x)=14+x

Q: The slope of the tangent line to the graph of f(x) D x2 at a = -1 is: %3D %3D

A: Given  equation of the graph  f(x) = xx2-x                        ...........(1) We have to find the…

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A: The derivative of a function at a point represents the slopeof tangent at that point .

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A: The values of x at which the given function has a horizontal tangent line can be found by evaluating…

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A:

Q: S find the Voutofeguatin 3x€-1rinthe interval Co,1] bg using:- - Bisectin method

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Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

A:

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

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A:

Q: Find an equation of the tangent line to f (x) = x² Vx4 – 12 at x = 2. - %3D

A: Explained below

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = sin 2x,…

A: Approach: Without wasting any time, take the derivative of the original function. Find critical…

Q: The root of the equation is estimated using the point of intersection of y = e^x and y 3x + 2 Using…

A:

Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

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

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A: f(x)=4x2+5x+17 Slope of the tangent is given by dy / dx = f'(x)So, we will have to differentiate the…

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

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A: Given: Curve f(x)=4x-8x to find tangent at x=16

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A:

Q: The linear approximation to 1 over sqrt(5-x) at x=0 is y=?

A: To find the linear approximation at x = 0 to the function 1/sqrt (5–x).

Q: Find the absolute extremum f(x)=sinx    (30,120)

A: Given function is Differentiating with respect to x, we get Firstly, we find critical points of…

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A:

Q: etanx -25ınttanx=0

A: tanx-2sinxtanx=0

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A:

Q: Use Newton's method to approximate the indicated root of x*+x-9 = 0 in the interval [1, 2], correct…

A: According to Newton's method, the root of some equation f(x)=0 can be obtained by: xn+1=f(xn)f ' xn…

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

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Q: 1. Find a root of f(x)=x-e=0, using Secant method, correct to three decimal places use initial…

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Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(1)…

A: Given, the velocity function            f(t)=e-t22 , 0≤t≤4, for n=60

Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

Q: For what vaules of x in the interval [0,2π) does the fraph of g(x)= (√3)x+2sinx+7 have a horizontal…

A: For horizontal tangent,first derivative must be zero

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A: Solution

Q: Use 4-segment the trapezoidal rule to numerically integrate f(x) = f(x)=∛(44x-4) from a = 44 to b…

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Q: For what x-value (approximately) does the function f(x) = sin(x) – x reach height -2? (Use a = 2 as…

A:

Q: Find the equation of the tangent f (x) = 4x – 8/x at a = 16 %3D

A: Equation of line with slope m and passes through point (xo , yo) is (y-yo) = m(x-xo)

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

Q: Find f(4) and f' (4), assuming that the tangent line to y = f(x) at a = 4 is y = -6x + 2. %3D

A:

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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

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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

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Q: Estimate the root of the expression, f(x) = x* – 4x, using: a. Bisection Methodin the interval [0,2]…

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

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Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: Find all r-values where f(x) = (x2 + 2x - 3)4 has a horizontal tangent line.

A: The function f(x)=x2+2x-34. We have to find all x-values where the function f(x) has a horizontal…