($4.7, Q16) Approximate the value specified to three decimal places using Newton's method. Use a plot to choose an initial guess: largest positive root of f (x) = x3 -5x + 1.

Q: Approximate the value specified to three decimal places using Newton's Method. Use a plot to choose…

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Q: Use Newton Method, finds the root for the following with guess value x = 0. f (x) = 1 - e* Compute…

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Q: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

Q: The cube root of 343 is 7. How much larger is the cube root of 344.9? Estimate using the Linear…

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Q: stimate the cubes root of 28 using a linear approximation.

A: Consider the formula for the linear approximation. Find the function f(x) and the derivative f'(x).…

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: 8 S(x)= Vx? +6x at x = 2

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Q: Solve for x and round answers to three decimal places of accuracy: (5**) = 7(4*-2) %3D

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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: Estimate the slope of the tangent line of the function ?(?)=squareroot(4t+1) at the point t=3.…

A: Given ft = 4t+1Slope of ft =ddtft=f't⇒f't=ddt4t+1               = 14t+12.4=24t+1

Q: Use the data below to estimate the value of f(6) to two (2) decimal digits using Backward…

A: Given the table for x and y=f(x).     x     1     3     5     7     9    11   f(x)   0.01…

Q: Using successive approximation method, find the smallest positive root of x – 64x + 30 = 0, correct…

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Q: Find the coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

Q: Use Newton's Method to approximate v13 correct to six decimal places.

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Q: Show that the equation 2x = 3ln(x +1) has a roota in the interval 1 <x <2 and use the Newton-Raphson…

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Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Solve for x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth…

A: for the right angle triangle, use the Pythagorean thorem

Q: use the gaussian quadrature formuld to estimate it cund onilt foddxit, where fad =x+2

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Q: Write a differential formula that estimates the change in cross-sectional area A=pie*r2  of a tree…

A: Given: the cross section area

Q: approximate the root specified to three decimal places using Newton’s Method. Use a plot tochoose an…

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Q: a) Determine whether the equation is exact. If it is exact, then: (b) Solve the equation.  (c) Use…

A: Given differential equation dydx=-4x+2y2x+3y To find: (a) To determine whether the equation is exact…

Q: The cube root of 512 is 8. How much larger is the cube root of 514.4? Estimate using the Linear…

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Q: Find an estimator for b when a = 0 using the method of moments.

A: It is given that X1, X2, .......,Xn follows Uniform(a, b)

Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

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Q: Use Linear Approximation to calculate the given number. square root(100.25) Give your answer as a…

A: We know that,The linean approximation for the function,f at a is given byL(x)=f(a)+f'(a) (x-a)

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

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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 equation of the tangent line to f at x = a. f (x) = 3 − 4x,             a = 2

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Q: Use the Tangent Ratio to solve for the length of J. Round to the Nearest Tenth (one decimal place).

A: Here we have to find the value of J=?

Q: Use the Mean Value Theorem to find the ?-value where the tangent line of ?(?)=2?^2−3?+1is parallel…

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Q: Find a real root of the equation x 18 0, correct to three decimal places by using Bisection method.

A: The given function is  f(x) = x3 - 18 Let the root is between [2, 3] According to the Bisection…

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

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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: After flying at an altit nen its ground distance- of depression for this

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Q: Find the length of tangent FG F 5+x 2x -5 E

A: Length of tangents of radius is always equal.

Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) =…

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

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Q: What is the approximate value of x in the diagram below?

A: Given: ∠B=90°∠A=25°AC=18  cmBC=x  cm

Q: Find the area A of the largest rectangle that can be inscribed under the curve of the equation below…

A: Given that the rectangle inscribed under the curves of the equation in the first and second…

Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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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 slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: 13. Given the function f(x) = 4 + x? %3D Find the 8x + 2 equation of the tangent line to the curve 1…

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Q: Q1) Find the tangent y = vx2- x +7 at x = 2.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: find an approximate value of y 1

A: Given,        dydx=xy12 and x=1, y=1