Suppose that f is a function that is continuous at a number c. Which of the following statements I, II, and III are always true? 1. lim f(x) exists. x-c II. f'(c) exists. III. f(c) exists. O I and III only O I and II only O II and III only O I, II, and III

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A: Derivative of constant is 0

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A: To solve the initial value problem.

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Q: Repeated Irreducible Quadratic Factors: Examples 2x² +9 x4 + 10x² + 25 dx

A: The given integral is;  (2x2+9)/(x4+10x2+25).

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A: From the graph, notice that the function is defined on the interval -2,4and it takes value on the y…

Q: Does the sequence converge? If so, what is its limit? If not why not? ne-n nten n=1

A: 1) The given sequence is;  (ne-n/(n+e-n))infinity n=1. 2) The given series is 2/(-5)n.

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Q: Repeated Irreducible Quadratic Factors: Examples S 1 v4 + 8v² + 16 dv

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A: solution is given below

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A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: This question can be solved using the concept of angle between line and plane.

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Q: The position function of an object is given by s(t) = 2³-12² + 30t+8, where time, t, is in seconds…

A: The position function of object is given as  s(t) = 2t3-12t2+30t+8  Where 't' time in seconds and…

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Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Given that,

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A: We have to find the work done.