Using the given graph of the function f, find the following (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither Ay W

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Q: 7. For r(t) = 4 cost i+ 4 sint j+k, find the principal unit normal vector N at t = 0.

A: Please see the below picture for detailed solution.

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A: Solution : Given that     It can be written as

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Q: 13. Find the double integral ff(62²-4zy) dA, where R is the region bounded by y=2² and y=z.

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Q: Evaluate the integral using the following values. [³x³ dx = 260, [³x dx = 10, [³dx = 2 (26-9x-x³) dx

A: We can find the answer as below,

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Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (Th 4 sec³(x) - 4…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (3t-1)³ L{f(t)}

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Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b)…

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A: Given figure:-

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Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

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A: Differenciate wrt x