Determine if each ordered pair is a solution to the given system of inequalities in two variables.x2 + y2 = 61x + y = -11(i) (5, 6); (ii) (6, 5)
A. (i) Yes; (ii) No
B. (i) No; (ii) No
C. (i) No; (ii) Yes
D. (i) Yes; (ii) Yes
Answer: B
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Find the particular solution to the given differential equation that satisfies the given conditions.
+ y = x + sin 8x; 
= 1 and y = 0 when x = ?
A. y = - 
cos x + ? sin x + x - 
sin 8x
B. y = 
sin x + ? cos x + x - 
sin 8x
C. y = - 
sin x - ? cos x + x - 
sin 8x
D. y = - 
sin x + ? cos x + x - 
sin 8x
Solve.A door contains two hinges. A builder is constructing an office building with two doors in each office. How many hinges are needed if the building has 49 offices?
Fill in the blank(s) with the appropriate word(s).
Solve the problem.A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system?
A. y = 
, 307°F
B. y = 
, 315°F
C. y = 
, 315°F
D. y = 
, 312°F
Convert the polar equation to a rectangular equation. Then determine the graph's slope and y-intercept.r cos 
= 1
A. y = -x
+ 2; slope: -
; y-intercept: 2
B. y = x
- 2; slope: 
; y-intercept: -2
C. y = x
+ 2; slope: 
; y-intercept: 2
D. y = -x
- 2; slope: -
; y-intercept: -2