2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the following is the value of this estimate? about the point c = 0 can 1+4x2

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

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Q: For which value(s) of x does f(x)=8x3/3 +5x2 −10x+15 have a tangent line of slope −7? If there is…

A: We have been given a function and we need to figure out the x coordinates of the points where…

Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

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Q: Find the equation of the line tangent to the graph of the indicated composite function at the…

A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

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Q: Suppose that f is a linear function with slope -3.6 and that f (1) = 4. What value of x gives f(x) =…

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Q: Given the function f(x)==x2+6x+5 determine the average rate of change of the function over the…

A: Given functionfx=x2+6x+5we have to determine average rate of change over the interval-5≤x≤3 .Now ,…

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: For the function h(x)= x^3-3x^2-1, determine the equation of the normal line at x=2

A: Given, hx=x3-3x2-1

Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

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Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

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Q: Use the second derivative test to find the relative extrema of the following function. Make sure to…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

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Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

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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: Find the critical points of the following function. f(x) = 5x? + 3x +2

A: Given,          The function is fx=5x2+3x+2.

Q: Find the value(s) of a for wh has range of all real numbers.

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

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Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: Consider the function f(x)=3x^3−2x on the interval [-2,2]. Find the average or mean slope of the…

A: The objective is to find the mean value of the function and find the values of c for which f'(c) is…

Q: For the function given in the below table, ,5 The approximation of f(x) dx using Mid – Point Rule is…

A: According to  Therefore, n=5∑i=12x2i+1-x2i-1fx2i-1+x2i+12=x3-x1fx1+x32+x5-x3fx3+x52 NOW

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: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

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Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = 4x2 + x; a = 1

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Q: For which value(s) of x does f(x)=−7x2/2+6x−3 have a tangent line of slope −7? Select all correct…

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Q: 1. Use the second derivative test to find the relative extrema of the following function. f (x) =…

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Q: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…

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Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Find k so that the function f(x) = x² + kx will be tangent to the line y = 2x-9

A: Here, the given function is: f(x)=y=x2+kx...(1) And also given that the tangent line to the given…

Q: Question 1

A: We find f'(x) using power rule and chain rule.

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

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Q: The equation of the tangent line for the function f(x) = -8 – 5x at a = 8 is %3D y = -5(x + 8) + 48…

A: Given that      f(x) = -8 -5x at x = 8 We have to find the equation of the tangent line for the…

Q: Given the function h(x) = -x² – 6x + 11, determine the average rate of change of the function bver…

A: The average rate of change of a function, y=f(x) over the interval, a, b is calculated using the…

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: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

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Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

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