Determine the real roots of the equation using bracketing methods (Error≈0.001): f(x) = - 24 + 80x - 90x2 + 42x3 - 8.7x4 + 0.66x5 *please round off until the four decimal places for every value in the created table*

Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

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Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

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Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Use the product rule to find the derivative. y (5x +3)(3x-4)

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Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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Q: What is the slope of the line tangent to the graph of f (x) = 2x2e" at x = -2? Express your answer…

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Q: 3. Find the roots using fixed point using initial guess 50.X with an accuracy of 2%

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Q: What is the equation of the tangent to y = x² - 5 when x = 3?

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

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Q: Estimate the cubed root of 28 using a linear approximation

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Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: Use the derivative to find the vertex of parabola. y = -2x2 + 12x - 5

A: Given equation of parabola is y=-2x2+12x-5. To find the vertex using derivative. Solution: We know…

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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Q: Use the intermediate value theorem to determine whether the filling equation has a solution. If so…

A: To use the intermediate value theorem to determine whether the given equation has a solution and If…

Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: What is the length of the curve y = sqrt(4-x2) from x = -2 to x = 1?

A: y=4-x2 Differentiating with respect to x, we get dydx=124-x2·d4-x2dx   ∵dxdx=12x=124-x2·0-2x=-x4-x2

Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

A: We have f(x) = x3+3x2-1 f(-2) = -23+3-22-1 = 3 x1 = -2 f-3 = -33+3-32-1 = -1 x0 = -3

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Use the product rule to find the derivative. y=(2x*2+5)(4x-5) y'= ?

A: GIVEN DATA : The function y=2x2+54x-5        TO FIND : Derivative y' by using product rule For the…

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the equation of the line tangent to the graph of f(x) = 7x³ + 8x² – 2x – 6 at x

A: We need to find the equation of the tangent to the function f(x) = 7x3+8x2-2x-6 at x=—2 We know that…

Q: Find the coordinates of the point other than the origin where the equation x3 + y3 - 72xy = 0 has a…

A: W we have to solve

Q: 1 y= V2x? – 5

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Q: f(x) = xe-* хе – sin²x

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Q: Find the derivative. 6) y = 8x2e¬x

A: We use the product rule to find the derivative

Q: Use the variation parameters method to solve: y" + 4y = sec2x

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Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

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Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

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Q: Find the equation of the line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: The given function is

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the Product Rule or Quotient Rule to find the derivative. 9x 1 f(x) = %3D x2 + 3 Answer

A: on doing differentiation we get

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A: Topic- derivative

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

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Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

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Q: Find the tangent line to the equation: f(x) 3x2 + 2x-1, when x= 2 %3D

A: Using equation of tangent formula.

Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

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Q: Find the equation of the line tangent to 8x2 + 18y3 = 152 at x = 1. %3D

A: The equation of a line tangent to a curve, y = f(x) passing through the point (x1,y1) is given by: y…

Q: Given the equation y x4 4x³+2, determine all Critical Points and classify using the SECOND…

A: Given the equation y=x4-4x3+2, to determine all critical points and to classify them using the…

Q: Use the product rule to find the derivative. y = (4x2 + 5)(3x - 5) y'= %3D

A: Given:-y=(4x2+5)(3x-5)To find: derivative by using product rulesolution:product rule:…

Q: At what point on the parabola y=3x^2+2x is the tangent line parallel to the line y=10x-2? Use first…

A: We have to find the point.