Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using this information and the appropriate error formula, how large should n be so that the Simpson's Rule approximation to ∫10ex2dx is accurate to within 0.00001? (Your answer must be a whole number.)

Q: let f(x)= X be 1 213 (-√5 < X<√) Y.V Pind P{/X/7/1.5},

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Q: The graph of the function fis shown below for 0<x<3. Graph off Of the following, which has the least…

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Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

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Q: prove that [(1/₂) = √T by using the definition of error function.

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Q: For the given functions f(x)=sinnx let xO=1,x1=1.25, and x2=1.6. Find the absolute quadratic error…

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Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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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: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: Consider p(x) = (x - 1.5001)(x - 1.5)(x - 1.4999). |p| \rp'(r)] Evaluate the formula = at the root…

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

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A: solution is given below...

Q: Find a value for the constant c so that the function с if x < 8 f(x) = { x-10 6x 1 - if x ≥ 8 is…

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Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: Which of the following functions are not differentiable? O f(x) = x² - 3 o f(x) = |x| O f(x) = 10x…

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Q: Let f(x)=Vx in(x). Find the interval on whichf is increasing.

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Q: 4x-1 If f (x) = then f is one to one. x2+4'

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Q: Differentiate the following function. y = In x+ In 5

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Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: b. Find c that will make the following function continuous at x = (x³ – x - 2 if x 1 - -2x

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Q: ах + 4 when x< 2 f(x)= x? — 6х +b 2 when x22 -

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.