Suppose that in the forward difference formula of order O(h) for f'(2), h0.02 and f"(c)l S0.5. and suppose that there is no round-off error, then |E< 0.05 JE< 0.005 bO |E< 0.5 E< 0.5 JES -0.05 |E< -0.5 10 E< -0.005

Q: Eric invest $1050 every year in an annuity that pays six. Six interest compounded annually. Payments…

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Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: LA3] Given the function f(x) = 2x5 – 5x*, use the second derivative test with an interval table to…

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Q: Let f(x) f'(2)= | ƒ' (6)= Lomm 7 Vx Evaluate each of the following: I

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Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: Find f(x) iff, (p) Hence deduce F .

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Q: Please

A: Given function is Differentiating both sides with respect to x , we get

Q: Given f'(a) < 0, what do we expect is true for f(a +0.5) ?

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Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: 1. Determine f'(x) for the following functions: f(x) = (x2 – 3x)5 b. f(x) = V1-x²

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Q: Q14: : Find intervals where function f is concave up and concave down and find the inflection…

A: Consider the function  f(x)=xex

Q: 4 and a = 6. 3 Find (f)'(a) for the function f (x) = x²

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Q: Use the following piecewise defined function to answer the questions. 0≤x≤4 - {₁₂_ 4 < x≤6 f(x) =…

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Q: Suppose that f() is a function with f(140) = 25 and f'(140) = 8. Estimate f(135.5). f(135.5) =

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Q: Michelle draws a restangle with a length of 6 cm. She draws a second rectangle with a length of 11…

A: Michelle draw 1st rectangle of length =6 cm 2nd rectangle=6+5=11cm And so on, she keep drawing more…

Q: 8. (15 points) (a) Use the two-point forward difference formula and the two-point backward…

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Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.