Express the unit vector as indicated.Express the unit vector u = (cos ?)i + (sin ?)j in the same direction as the vector -5i - 7j

A. i + j
B. i - j
C. - i - j
D. i + j


Answer: B

Mathematics

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Write the following as an algebraic expression in u, u > 0.tan 

A.
B.
C. u2
D.

Mathematics

Find the sum or difference. Write the answer in standard form, a + bi.(7 - 9i) + (2 + 3i)

A. 5 + 12i B. -9 + 6i C. 9 + 6i D. 9 - 6i

Mathematics

Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $250, and the manufacturing cost is $.20 for each container of cookies. The cost of storing each container of cookies over the year is $.80.

?
Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
?
Hint: Show that the total production cost is given by the function   .
?
Then minimize the function ?C on the interval (0, 1,000,000).
?
__________ containers of cookies per production run

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the inequality.ln (5x + 9) ? 4

A.
B.
C.
D.

Mathematics