Find the magnitude and direction angle (to the nearest tenth) for the given vector. Give the measure of the direction angle as an angle in [0, 360°).
A. 2
; 45°
B. 2
; 225°
C. 2; 225°
D. 4; 45°
Answer: A
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The volume V (in liters) of a certain mass of gas is related to its pressure P (in millimeters of mercury) and its temperature T (in degrees Kelvin) by the law
?
?
Compute 
and 
when T = 260 and P = 700.
?
A. 
The volume increases by 0.044 L when the temperature decreases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume decreases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.
?
B.
The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume decreases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.
?
C.
The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume increases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.
?
D. ?
The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume increases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.
?
Is the relation a function?y2 + 2y - x + 6 = 0
A. Yes B. No
Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers.
A. (1, 3); quadrant I B. (1, 6); quadrant I C. (1, 3); quadrant II D. (1, 6); quadrant II
Use mathematical induction to prove that the statement is true for every positive integer n.2 ? 4 + 3 ? 5 + 4 ? 6 + . . . + (n + 1)(n + 3) = 
What will be an ideal response?