Find the root of the equation using any bracketing method: f(x) = x2 – sin x - 0.5 with an upper limit 2 and lower limit 0 for an error percentage of 5%

Q: 3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5…

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Q: find an equation of the tangent line to f(x)=3 cos(x) at x=2pi/3 Let y=f(x) and express the…

A: At x=2π3, f(x)=3cos(x)f2π3=3cos2π3f2π3=-32So, the point is 2π3,-32

Q: Find the equation of the tangent line of the function at the given point. 3x+2 9. f(x) = x-1 (0,-2)…

A: Differentiate at given point and then use equation of tangent line

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

A: Given,          fx=4sinx at x=π.

Q: Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.

Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: Find the equation of the tangent line to the function f(x)=2x^2−9 at the point where x=−6. Give your…

A: Calculate the derivative of the function at given point than write the equation of tangent line.

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: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: Use Newton - Raphson method with value of x0 = 0.2 to find the real root for the function: f(x) =…

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Q: For what value of x does the graph of f (x) = 6sinx + sin?x have a horizontal tangent?

A: Given , fx=6sinx+sin2xWe have find the value of x for which the function have a horizontaltangent…

Q: Estimate the slope of the tangent line to f(x)=tan(x) at the point x=5pi/4

A: f(x)=tan(x) at the point x=5pi/4

Q: Solve the problem. Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in…

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Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: Consider the function f(x) = 1/x and show it on grap. Find the equation of the tangent line at x =3.

A: Given function is fx=1x. To graph the function and the find the equation of the tangent line at x=3.…

Q: Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the intervalocce O…

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

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

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Q: Find all the values of x where the function f(x) = 5e* sin x has a horizontal tangent line.

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Q: 4x dx.

A: Given I=∫02e-4xdx Here fx=e-4x,a=0,b=2,n=4 . Then h=b-an=12 Therefore, the subintervals are…

Q: .Find the estimate for the root of f(x) = sin x+ cos (r+1)-1using Bisection methodx, = 1.5, X=2 with…

A: Solution

Q: Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x²…

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Q: Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x²…

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Q: Find the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

Q: Find the equation of the tangent line for f(x)=sin-1(1/4x) at the point (2,pi/6).

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Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: Find the slope of the tangent line to the function f(x) = tan(cos(ax)) at x =π/2a. Leave your answer…

A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

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)

Q: Find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is horizontal. If there are…

A: Here, we need to find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is…

Q: Find the equation of the fangent line to the graph of the function f (z) sin (3,/7) at the point…

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Q: Find the derivative and simplify A. f(x) = 2 sin−1(4x + 5) B. f(x) = x3tan−1(x2)

A: Given:- A.   f(x) = 2 sin-1 (4x + 5)   B.    f(x) = x3 tan-1 (x2)  To find :- Derivative of given…

Q: For which value(s) of x does f(x)=6x+11 have a tangent line of slope −2?Select the correct answer…

A: we have to find value of x at which tangent line slope to f(x)=-2

Q: find y' and find the slope of the line tangent to the graph of y = sin-1(x/4) at x = 2.

A: Here in this question we need to find out the slope of the line tangent to the curve y = sin-1(x4)…

Q: Find the equation of the tangent line to the graph of the function f(x) = sin ( 11 √x ) at the point…

A: The function is fx=sin11x. Find the slope of the tangent line at π2,0 by taking the derivative of…

Q: 3) Find the slope of the curve defined by f (x) = x 3 sin x at x =r.

A: Solution -  Slope of the curve is given by df(x)dx, We have the function f(x), f(x) = x3sinx, Now…

Q: For what values of x does the graph of f(x) = 3e*cosx have a horizontal tangent line? 4.

A: Explanation of the answer is as follows

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 slope of the tangent line at x=3 for f(x) = 6x^1.52 - cos(2x^2) + square root of 5

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Q: Find a formula for the tangent line to f(x) = x² – x at x = 0

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Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your…

A: see below the answer and explanation

Q: Find the root using newton raphson method for f(x) = sin(x) − x²

A: Given function is f(x)=sin(x)-x2 From the given equation, it is clear that 0 is one of the root of…

Q: Find the slope of the line tangent to the curve at the given point y%3D25 sin x; x = F/3

A: We find dy/dx

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1. %3D Provide your…

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Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

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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: Find the linear approximation to sin(x) at the point x-0 and use your answer to approximate the…

A: Given f(x)= sin(x), a=0 we know linear approximation, L(x)= f(a)+f'(a)(x-a)