Use a linear approximation of the function below at x = -1 to approximate the value of f(-1.1). x - 4 f(x) = -x2 + 4 Submit an exact answer in fractional form. Provide your answer below: L(-1,1) =O

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

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Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: Given the function g(x) = -x² + 5x +14, determine the average rate of change %3D of the function…

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Q: The altitude h (in m) of a certain rocket as a function of the time t (in s) after launching is…

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Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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Q: Given the function g(x) = -x² – 5x + 8, determine the average rate of change of the function over…

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Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

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Q: Consider the function below. Approximate f(1.99) using a linear approximation. f(x) = 2x³ – 4x² – 3…

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Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

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Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x? – 12x + 5 b) Determine…

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Q: Use the chain rule to find the derivative of f(æ) = 4(92". – 8a")" You do not need to expand out…

A: Given the function f(x)

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Find the relative extrema of the function and classify each as a maximum or minimum. (Use either the…

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Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: given y=f(x) and the function is linear, use this change equation to solve the problem. Given that…

A: We have to use the given differential equation.

Q: The derivative of the function f(a) a-8x +9 at the number a is %3D 2a – 8. - TRUE O FALSE

A: 1.Given,            f(x)=x2-8x+9

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

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Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

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Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

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Q: Find the linear approximation of the function below at x = -1 and use it to approximate f(-0.8). -7x…

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Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

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Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given:

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

A: