Determine if the function is a solution to the given differential equation.y = e-x + 2xe-x; y'' + 2y' + y = 0.
A. Yes
B. No
Answer: A
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Solve the system by elimination.-7x + 6y = -49-2x + 4y = -14
A. {(7, 0)} B. {(6, 1)} C. {(x, y)|-2x + 4y = -14} D. ?
Solve.For three days in a row, volunteers picked up trash on a particular beach. They picked up a total of 717 pounds. On the second day they collected 33 pounds more than on the first day. On the third day, they picked up 27 pounds less than on the first day. How many pounds of trash did they pick up on the first day?
A. 591 pounds B. 259 pounds C. 237 pounds D. 241 pounds
Sketch the graph and show all local extrema and inflection points.f(x) =
A. Local minimum: (1, -3)
Local maximum: (-1, 3)
Inflection point: (0, 0)
B. Maximum: (0, 6)
No inflection point
C. Local minimum: (-1, - )
Local maximum: (1, )
Inflection point: (0, 0)
D. Local minimum: (-1, -3)
Local maximum: (1, 3)
Inflection points: (0, 0), (-1, -
),
(1,
)
Find the value(s) of the function, subject to the system of inequalities.Find the maximum and minimum of subject to:0 ? x ? 5, 0 ? y ? 8, 4x + 5y ? 30, and
A. -58.75, -78 B. 25, -78 C. -78, 0 D. 25, 0