Determine whether the following series converge. 1+ 3k 1+2k (1) Σ k=1 (2) Σ k=1 (−1)k 2k + k

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A: This is a consequence of the intermediate value theorem

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Q: Describe the end behavior of the graph of: ƒ (x) = −5x5 + 4x² + 12x² - 8 using limits. —

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A: We shall show that the limit exists using the above theorem.

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Q: Consider the following system of coupled initial value problems: = = -2y + 5e-t y(0) = 3 dt =-yz²/2…

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Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

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Q: 1. 2. Which of the following is a vertical asymptote of the graph of y = tanx. b)x= 7/ c) x = 1/3…

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Q: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

A: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

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Q: Writing the equation d² dt2 n the form of the system dx x = V, =) 3) e) X= dt x³ + x², v = x³ + x² x…

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