Solve the problem.At a track meet, Russell ran the first heat of the 100-yd dash in 14.5 sec, Sergy in 14.8 sec, and Omar in 15.2 sec. In the second heat, they got 14.3 sec, 14.4 sec, and 14.7 sec. Write a 1 x 3 matrix giving the changes in times. If the changes repeat, who will win?

A.
, Omar
B.
[0.2 0.4 0.5], Sergy
C.
[-0.2 -0.4 -0.5], Sergy
D.
[-0.2 -0.4 -0.5], Russell


Answer: C

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

Answer the following statement(s) true (T) or false (F)

When instruction emphasizes only one representational system, some students come to see graphical and symbolic representations as two separate systems of procedures to follow rather than representations that complement one another.

Mathematics

Solve the problem.If x = 3 tan ?, express sin(2?) as a function of x.

What will be an ideal response?

Mathematics

Find the function value.f(x) = -3x + 3, find f(- )

A.
B.
C. - 
D.

Mathematics