Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5
A. 
log53 + 
log5x
B. log53 + 
log5x
C. 
log53x
D. log5
+ log5
Answer: A
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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 
Find the derivatives of all orders of the function.y = 
What will be an ideal response?
Solve the problem.Find the perimeter of a parallelogram with bases of 62.0 in. and 
. and height of 
A. 189.8 in. B. 230.1 in. C. 175 in. D. 204.6 in.
The function graphed is of the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the graph.
A. y = -4 cot x B. y = -4 tan x C. y = -tan 4x D. y = -cot 4x