Find f (3.7) if f(x) = 3 1-z round to the nearest hundredth

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Find f'(- 2) for f(x) = In(5a? + 20x + 2) rounded to 3 decimal places. f'(- 2) =

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 – -x, and the line…

A: Given data:     The expression of the first equation of the line is: f(x)=5-2x/3. The second…

Q: Find the intervals on which the function y=xx(x&gt;0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Graph the functions in excercise

A: Solution:Giveny=9-x

Q: Use the graph of f to evaluate the following: 6+ f(x) 4- 2- 3 4 to The average rate of change of f…

A: Topic - average rate of change of function

Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: find the average rate of change from f(4) to f(10) in the function f(x)=x2+3

A: We have to find the average rate of change from f(4) to f(10) in the function f(x) = x2 + 3 We know…

Q: Let f(x) = -x² - 4x + 11. What is the average rate of change from x = -5 to x = 2? %3! O-7

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Consider the function f (x) = x³ + 3x + 2. Calculate the average rate of change from x = 1 to x = 3…

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Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: Find the average rate of change of f(x) = 9xfrom 1/2 to 1.

A: The average rate of change of a function is a ratio of change in function values for two inputs(…

Q: For the below figure, the F(s) will be equal to 6 (1

A: Given

Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?

A: Given,  The function  y = -4x2+6x17     We have to find the intervals in which function is both…

Q: Find the average rate of change of f(x) = - 3x2 + 5 from 3to 7

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Q: Given the function f(x) = x2 -3 , calculate the average rate of change of the function from x=1 to…

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Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

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

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1     →both function are growing with the same…

Q: For the graphed function f(x) = (2)x+2+1, calculate the average rate of change from x = -1 to x = 0.…

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Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Consider the function f (x) = -x² + 10. Find the average rate of change in the interval -5 <x < -1.

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Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place. f'(0)=

A: From the given graph , it is observed that the function should be of the form fx=ax3 where a is some…

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 &lt;= x&lt;= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: Find F.s For PCx) = %3D

A: Fourier series for a function f(x) defined in c to c+2π is given by f(x)=a02+∑n=1∞ an cos(nx)+∑n=1∞…

Q: Find the average rate of change of g(x)=2x2+7/x3 on the interval [-2, 1].

A: Average  rate of change of g(x) on the interval [a,b] can be calculated as

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval (3, b]. Your answer will be an…

A: Finding the average rate of a function in a given interval

Q: Find the average rate of change of f(x) = 3x2 - 2, from 2 to 4.

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Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: Find the extreme values of the function x²y with respect to x + y = 5

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

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Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Find the average rate of change of f(x)=4x^2-2 from 2 to 4 

A: For the function f(x) the rate of change in a closed interval a to b is given (f(b)-f(a))/b-a Here,…

Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place.

A: The graph of f(x) has a vertical tangent at the point (0,f(0)).

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

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Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

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Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: Let L(x) be the linearization of the cube root function at x=64. When using L(x) to approximate the…

A: The linearization L(x) for tge function f(x) at x =a is given as L(x) = f'(a) (x-a) + f(a)

Q: Find the average rate of change of f(x) = 3x2 - 5x from 1 to 3.

A: Given to evaluate the average rate of change of f(x) = 3x2 - 5x from 1 to 3.

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: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

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Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

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