Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].

A. 13; 157.4°
B. 15; 157.4°
C. 13; 112.6°
D. 13; 22.6°


Answer: A

Mathematics

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Find the Taylor polynomial of order 3 based at a for the given function.tan 3x; a = ?

A. 3(x - ?) - 9(x - ?)3
B. 1 - 3(x - ?) + (x - ?)2 - 9(x - ?)3
C. 1 + 3(x - ?) + (x - ?)2 + 9(x - ?)3
D. 3(x - ?) + 9(x - ?)3

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Find VC if C = 10 æF, R = 82 Kê, and t = 1 msec after being connected to a 5 V source.

a. 6 mV b. 61 mV c. 2.1 V d. 2.9 V e. 3.8 V

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A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards.Find the probability that the card is a 2, 3, or 5.

A.  
B.
C.  
D.  

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Perform the matrix operation.Let A =  and B =  . Find 3A + 4B.

A.
B.
C.
D.  

Mathematics