Solve the problem.A rectangle that is x feet wide is inscribed in a circle of radius 9 feet. Express the area of the rectangle as a function of x.
A. A(x) = x2
B. A(x) = x
C. A(x) = x(324 -x2)
D. A(x) = x
Answer: B
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Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = x2 + 2x + sin 2x(Let yp = Ax2 + Bx + C + E sin 2x + F cos 2x.)
A. y = c1ex + c2xex + 6x2 + 6x + 10 sin 2x + 
cos 2x
B. y = c1ex + c2xex + 6x2 + 6x + 10 + 
sin 2x + 
cos 2x
C. y = c1ex + 6x2 + 6x + 10 - 
sin 2x + 
cos 2x
D. y = c1ex + c2xex + 6x2 + 6x + 10 - 
cos 2x + 
sin 2x
Use the frequency polygon to answer the following.The frequency polygon shows the salaries of employees of a small company.
The greatest number of employees are in which salary group?
A. $50,000-$60,000 B. $30,000-$35,000 C. $50,000-$55,000
The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her $200 to drive 300 mi and in July it cost her $350 to drive 600 mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.
What will be an ideal response?What will be an ideal response?
Solve.At a fixed temperature, the resistance R of a wire varies directly as the length l and inversely as the square of its diameter d. If the resistance is 0.48 ohm when the diameter is 1 mm and the length is 240 cm, what is the resistance when the diameter is 4 mm and the length is 2080 cm?
A. 130 ohms B. 62.4 ohms C. 0.26 ohms D. 1.04 ohms