Since {x_n} converges, prove (d. We also know |f'(x)| <=  1/3.

Q: (-2, 7.333) 10 (0, 0) (5.058, 0) (-3,558, 0) 10 (3, -13.5) Complete the following statements. f'(x)…

A: The graph of the function fx is To complete the following statements :

Q: x+2a, if x<1 What value for a would makef (x)continuous everywhere? Let f(x)= (ax? +7x-4, if x21

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Q: 7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain.…

A: We have

Q: Find f such that f'(x) = f(x) = 7 √x f(16) = 70.

A: given

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

A:

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: a tunction and its first + second derivative are given below. f(x)= 3x (x+4)3 5メ+12 f"(x ) : 2 (5x+…

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Q: Pls help ASAP

A: The given information:To Sketch: The graph of the function with above information.

Q: On what open interval is  f '  an increasing function?   For which value of x is  f '(x)  minimum?

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Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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Q: Use the MVT to prove that if f' (x) ≤ 2 for x &gt; 0 and f (0) = 4, then f (x) ≤ 2x + 4 for all x ≥…

A:

Q: Suppose that f(1) = 4,| f(4) = –6, f' (1) = 6, f'(4) = 3, and f" is continuous. Find the value of 1…

A: Given: I=∫14xf"xdx, f1=4, f4=-6, f'1=6, f'4=3 For evaluating given integral, we will use integral by…

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

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Q: Where is f(x) = e* continuous?

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Q: Pls help ASAP

A: To Sketch: A graph of a function with the given information:f'(x)&gt;0 when x&lt;-2, and when…

Q: f(x) Where is not continuous? -2 2 2.

A: To find- Where is fx not continuous?

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.