26 Use the following table to estimate /f(x) dx 10 10 14 18 22 26 x100 88 72 50 28

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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Q: Using L'Hospital's rule, determine whetherf (x) or g(x) given below grows at a faster rate. f(x) =…

A: Given to use L'Hospital's rule for f(x) and g(x) where: Using L'Hospital's rule and applying…

Q: Evaluate the following. 3 1. f(1-√x) dx √X

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Q: A company has found that total sales, in thousands of dollars, are given by the function defined by…

A: Given, Sx=100 log2x+2a Let x = 5 and find S6S6=100 log25+2        =100 log27        =280.74Thus, The…

Q: Use the graph of f to evaluate the following: 61 fx) 4 3 -1 -1+ 4 5 The average rate of change of f…

A: We can use the graphical analysis in order to solve the given problem.

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: Use the function f (x) = 2* to answer the following question. Over which interval is the average…

A: Given ,    f(x) = 2x We know that average rate of change = [f(b) - f(a)]/(b-a) (a) a = -5 , b = -2…

Q: Find ao, (the average f(x) value),correct to 1 decimal place for - C<x<0 A, f(x) =. !! Bx2 + 1,…

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Q: 2 Evaluate f(x) dx, given that f(x) dx = 6.

A: ∫abf(x)dx=-∫baf(x) dx

Q: Use the below table values to approximate f' (3) using the Three - point end point formula with h= -…

A: The solution is given as

Q: V1-x² 2 dx

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Q: 10 Evaluate S f(x)dx f(x) 4 X. 9 10 in

A: Given: And I=∫010f'xdx

Q: 15 Use the figure below to estimate f(x)dx. -10

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Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: Use the table to estimate ƒ (x)dx. 3 6 9 12 | 15 X f (x) | 50 | 48 44 | 36 24 8

A: The values of f(x) are spaces 3 units apart so that ∆x = 3…

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

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Q: Calculate the average rate of change of the given function over the interval [7, 8] 168 f (x) = O -3…

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Q: Let f(x) = xVx + 5. Answer the following questions. 1. Find the average slope of the function f on…

A: Given, f(x)=xx+5

Q: Let f(x) = xvx +6. Answer the following questions. 1. Find the average slope of the function f on…

A: Given function is f(x)=xx+6 Differentiate with respect to x.…

Q: A table of values of an increasing function f is shown. X 10 14 18 22 26 30 f(x) -11 -8 -1 1 3 7 30…

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Q: (d) From the following table, find the values of: (i) f'(x) = (ii) f"(x) = at x=1.2. y 1.0 2.7183…

A: As per the answering guidelines we are supposed to solve the first question of the multiple…

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: 15 Use the figure below to estimate f(x)dx. -10 (x)f 18 12- 0. 15 -10 xp(x)f eTextbook and Media…

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Q: 15 Use the figure below to estimate f(x) dx. -10 f (x) 30- 20 10 -10 10 15 f(x)dx = i 10

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Q: he table below gives values of f(x) = e f(x) fx) 0.94 0.95 0.96 0.97 0.98 2.55998142 0.99 2.69123447…

A: Given: Here the given is f(x)=ex. We have to compute f'(1.0) and f''(1.0) with the following data…

Q: suppose f=f(x). what is the sign of df/dx if the function f is increasing

A: Given that f(X) is a increasing function so when we draw a tangent line at any point of graph then…

Q: Use the appropriate three-point formula, to estimate f'(1.3) for the following table. 1.1 1.2 1.3…

A: Given,

Q: Differentiate the following functions: 1. f(x) = ecosx

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Q: Find the average rate of change for f (x) = x2 + 1 between x = 2 and x = 5 O 1/7 -7 O - 1/7

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Q: Differentiate the following function.   f(x)=9−2x+e−5x d/dx9−2x+e−5x=nothing   Enter your answer in…

A: fx=9-2x+e-5x

Q: Given the tables for f(x) and g(x) below, find the following: f(x) g(x) 1 4 6. 8 3 3 2 8 5 7 1 8 7 1…

A: The average rate of change of function g over the interval a≤x≤b is given by:average rate =…

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values.…

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Q: Jse the function f (x) = x² + 10 to answer the following question. Over which interval is the…

A: Recall the following. For the function y=fx between x=a and x=baverage rate of change=fb-fab-a The…

Q: 3. Use the five-point endpoint formula to approximate f'(0.91) for the table data points. You must…

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Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: 55. Calculate f(x) dx, where 12 – x? for x 2

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Q: Differentiate the function D = 3 – In p. D' =

A: Here we will differentiate the given function,

Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: Use the Rules of Logs to expand, then find f'(x) given f(x) = ln V. ex X (x + 3)5

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Q: Find the numbers b such that the average value of f(x) = 2 + 10x - 9x^2 on the interval [0,b] is…

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Q: Evaluate f x14 In x dx 15 1 e 225 16 e15 169 e 196 e15 1 196 196

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Q: 1000 Compute the the average output value of f(x)=12x3+ over the interval x =4 to x =8.

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Q: #2: Differentiate the following functions. y= 3V3x

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Consider the following table of values for the function f (x) = Vx - 2. %3D Point f(x) A -2 -3.26 -1…

A: The table of the values for the function fx=x3-2 is To evaluate: The average rate of change over…

Q: Let f(r) = 16 – z?. a) Compute each of the following expressions and interpret each as an average…

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Q: Differentiate the following function. 6 In (5x) y = d 6 In (5x) dx

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Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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