In each part, determine whether the set of vectors is orthog- onal with respect to the standard inner product on M2 (see Example 6 of Section 6.1). а. 2 2 3. 1 1 3 3

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A: Answer is in step 2.

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

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A: Given  a = 3  r = 2/6

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A: Given problem:- The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the…

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A: Given, -2x²+2x+3=0 Solving using quadratic formula we have,

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A: Explanation of the answer is as follows

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A: The objective of the question is providing the given statement.

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A: Given problem:- A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's…

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A:

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of…

A: Solution: Given that,

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A: We can prove the theorem as below.

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A: We can write the resulting set using the listing method as below.

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A: A detailed solution is given below

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Q: 42. Lauren is working with her coach to improve her tennis skills. A graph of Lauren's latest serve…

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A: Check using given terms both for arithmetic and geometric.

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A: Given

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Q: Convert the equation f(t) = 394(0.64)' to the form f(t) = ae". Write your answer using function…

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A: Explained below

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Q: -9 -19 -8

A: