3. Consider a function f(x) = based on this function: (a). (b) (c) 1 x(lnx)²¹ which is continuous on the interval [e, e +1]. Now answer the questions below Calculate the exact integrated value of the given function. Find the numerical integration for m-4 using the Composite Newton-cotes formula. Calculate the error in percentage from the above two parts.

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: Given F(x) = f e*dt, find F' (x): F' (x) Check

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Q: For f(x)= (n+gvx)m * , find f'(0.1) and f"(0) correct to three decimal places. n = 17 g = 4 Use…

A: After substitution the given function can be written as follows:

Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: Your used Chevy’s gas mileage (in miles per gallon) is given as a function M(s) of speed s in miles…

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Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A:

Q: Consider J(0) = 30* + 1. Let e = 0.001, compute the numerical approximation to the derivative at 0 =…

A: The given problem is to find the derivative of the given function at point 2 with given accuracy…

Q: O X 3. Find f'(x) when f(x) = √16x²

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Q: 4. y = ln 5. y = (x²+3)² x³√√x²+1 e3x ex +1 (use property of logarithms)

A: Given; 4) y=ln [(x2+3)2/x3sqrt(x2+1)] 5)y=e3x/(ex+1).

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

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Q: Calculate M6 for f(x) = 7 · ln(x²) over [1,2]. M6 =

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Q: Given f(x) = -3x + 3 and x = 3r In (2s). Find f, (2, 4). Give your answer correct to two decimal plo

A: Follow the procedure given below.

Q: What is the derivative of M(t) = 1.19t + 13.22

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Q: For a certain drug, the rate of reaction in units is given by the function where t is measure in…

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Q: Faraday's law characterizes the voltage drop across an inductor such as di VL = L dt where V, =…

A: We are given the following equations. VL=Ldidt where VL = voltage drop (V), L = inductance, i =…

Q: Explain why the derivative of y = logakx, k > 0, is dy/dx = 1/xIna for any constant k. (the a is the…

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Q: f(x)=- is stretched toward the y-axis by a factor of , translated to the left 2 unit, then reflected…

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Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: If f'(t)=2t is a production rate, measured in items per hour, then how many items were produced from…

A: