Find the perimeter and the area of the figure.

A. perimeter: 12 in.; area: 36 sq in.
B. perimeter: 24 in.; area: 36 sq in.
C. perimeter: 36 in.; area: 24 sq in.
D. perimeter: 24 in.; area: 144 sq in.


Answer: B

Mathematics

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Set up the iterated integral for evaluating over the given region D. DD is the solid right cylinder whose base is the region between the circles  and  and whose top lies in the plane .

A.
B.
C.
D.

Mathematics

At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in atmospheres) by the formula .

?
What is the average rate of change of V with respect to p as p increases from  to ? What is the rate of change of V with respect to p when ?
?

A. average rate of change: liter/atmosphere, instantaneous rate of change:  liter/atmosphere
B. average rate of change:  liter/atmosphere, instantaneous rate of change:  liter/atmosphere
C. average rate of change:  liter/atmosphere, instantaneous rate of change:  liter/atmosphere
D. average rate of change:  liter/atmosphere, instantaneous rate of change:  liter/atmosphere

Mathematics

Solve the system by using Gaussian elimination with backward substitution or by reducing the matrix to reduced-row echelon form.-4x + 52 = 6y-2x + 3y = -2

A. (6, 5) B. No solution C. (7, 5) D. (7, 4)

Mathematics

Simplify.(6 + 22) ? (29 - 24)

A. 81 B. 788 C. 140 D. 33

Mathematics