Table Q1 1150 Wavelength, x (nm) Measured Signal, E(x) (unit) 750 900 950 1000 12.34 87.23 332.12 455.74 429.41 By applying all appropriate numerical first order derivative methods to the following questions: Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 50 nm. (i) (ii) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 200 nm.

Q: Daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013 could be…

A: The function P(t) = 0.017t2 -0.4t +5.23 Where t is time in years.   The derivative of the function…

Q: 5. Calculate the rate of change by analyzing the differences in the y-values and the differences in…

A: Rate of change can be found using following formula :

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A: Need to answer the following parts for the given sales function with respect to the number of days.

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A:

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A: Given the average surcharge is

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A: The given function is Pt=0.009t2-0.7t+3.43. Compute the average rate of change of P ( t ) over the…

Q: Consider the following function. Find its average rate of change over the interval (1. 16). Compare…

A: Given: f(x)=1x

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A: The required graph of the derivative is as below: The approximate coordinates of the maximum are…

Q: amount

A: Please refer to the image below

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

Q: Daily crude oil production by one particular oil company for 2008-2013 could be approximated by…

A: Given,          Daily crude oil production by one particular oil company for 2008-2013 could be…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

A:

Q: During the real estate run-up in 2000-2008, the percentage of mortgages issued in a country that…

A: The required graph is as follows: The maximum value occurs at the point 6.39507,1.59824 .

Q: 30. Find the derivative of the function: y= xe™*

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A:

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A:

Q: 2. If f(t) is the rate of change of some quantity, then what does f (t) dt represent?

A:

Q: What is the rate of change of y with respect to rfor this function?

A: Given,           The table represents some points on the graph of a linear function.

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A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

Q: Estimate the true percent relative error for the first derivative of the function, y =[eln)P, at x =…

A: We can solve this using Central difference formula f'(x) = (f(x+h) -f(x-h))/(2h)   The value of…

Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: Yes or No. If No, give a reason.

A: Part (a) - Given intervals = a, bPoints of secant line are a, f(a) and b, f(b)Slope of the secant…

Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).

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A: Topic:- function

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A:

Q: 1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the…

A:

Q: The relationship between food expenditure of 25 households (y) and their total expenditures (x) is…

A: Given: ln Y^=2.24+0.364 ln Xr2=0.886

Q: Find the average rate of change of f(x) between x = -1 and x = 2.

A: Given interval: x = -1 and x = 2 Formula used: Average rate of change of f(x) is fx2-fx1x2-x1

Q: Since the start of July, OHagantbooks.com has seen ts weekly sales increase. OHagantooks.com fits…

A: We need to find w'(t)and find rate of increase.

Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

A:

Q: The derivative f'(a) represents the instantaneous rate of change of y = f (x) with respect to x when…

A: Given that we need to check  behaviour of  the statement " The derivative f'(a) represents the…

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: Find the instantaneous rate of change of y =- at x = a

A:

Q: Estimate the instantaneous rate of change of f(x) = 4. at the point a = -1 x - 6 Your answer should…

A: We need to find the instantaneous rate of change of f(x) = 4/(x-6) at x=-1.  Now,…

Q: estimate the instantaneous rate of change at the point indicated.f (x) = ln x; x = 3

A: To find the instantaneous rate of change at x=3 we need f'(3) We find f'(x)

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: 9. Determine the average rate of change for the function, f(x) = -4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: Estimate the instantaneous rate of change of the function f(x)=−x2+2x at x=−2 using the average rate…

A: We have been given a function f(x) = -x^2+2x and we need to find its instantaneous rate of change at…

Q: Let m(x) be the slope of the tangent line to the curve y = 2x° – 6x² + 3x at the point (x, y). Find…

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A:

Q: Let y" = e*(g(x)) be the second derivative of y = Determine the value of g(x) if x = -4. (Use three…

A:

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: The cost in pesos of producing x units of a certain commodity is C (x) = 5000 + 10x + 2x? What is…

A: Please see the answer below.

Q: Daily crude oil production by one particular oil company for 2008-2013 could be approximated by P(t)…

A: Given oil production, Pt=0.023t2-0.5t+5.62 million barrels Since the average rate of change of fx…