Simpson's rule says the integral from x_0 to x_2 of f(x)dx is approximately h(1/3 f(x_0) + 4/3 f(x_1) _1/3 f(x_2)) where h = x_2-x_0 and x_1 is the midpoint of x_0 and x_2. Write a function simp(f,a,b,n) which integrates the function f(x) over the interval [a,b] by dividing it into n subintervals.   integrate e^-x over [0,1] to make sure it matches the integral found with scipy.integrate.quad to 5 decimal places

Q: The iction f(x) is defined below. What is the end behavior of f(x)? f (x) = 30x - 6x + 252x 864 as x…

A: We will find the end behavior.

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A: From given integral, ∫010fxdx, a=0, b=10 and n=5. Compute the interval width. ∆x=b-an=10-05=2

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A: Let f : A→B be a function.

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Q: x³dx (x²+a²)³

A: The given integral is  I=∫x3x2+a23dx Using the substitution. x=au⇒dx=a du

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A: 0.0065∫4860e-0.0139t-482 dt

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A: a=input("Enter value of a:");  b=input("Enter value of b:");  n=input("Enter value of n:");…

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A: topic - functions

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A:

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A:

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A: Given:

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A: Given

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Q: (12x+1)dx V4x-3

A: The given integral is ∫12x+14x-3dx. ∫12x+14x-3dx=∫12x4x-3dx+∫14x-3dx Assume u=4x-3. Differentiate u…

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A: Examples of basic integration using constant rule.

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A:

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A: The problem concerns carefully defining functions and continuity

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Q: 1. Find the net area 2. Find the area of the region above the x-axis bounded by y=100-x^2. Graph the…

A: This question is related to definite integral. we will use given information to solve it.

Q: EXAM Find the local minimum and maximum values of the function below. f(x) = 3x4 – 8x3 – 210x2 + 5…

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A: We have to find

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Q: Finding the Area Under a Curve In this task, you will practice finding the area under a nonlinear…

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