Find the exact value.Given that cos ? = -  with ? in quadrant II, find sin 2?.

A.
B.
C. - 
D. - 


Answer: D

Mathematics

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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = 3x - 4xy y'(t) = -y + 3xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.

A. (a) x' = 0 along the lines x =  and y = 0
(b) y' = 0 along the lines y =  and x = 0
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
C. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c)  and 
D. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and 

Mathematics

Solve.A spreadsheet contains 496 entries in a rectangular array which has 31 rows. How many entries are in each row?

A. 15,376 entries B. 465 entries C. 26 entries D. 16 entries

Mathematics

Divide using long division.

A. x + 8 B. x3 - 28 C. x - 28 D. x2 + 8

Mathematics

Prove the identity.2 cot 2x cos x = csc x - 2 sin x

What will be an ideal response?

Mathematics