Find each product.(10a + 7c)(10a - 7c)
A. 10a2 - 7c2
B. 100a2 + 140ac - 49c2
C. 100a2 - 49c2
D. 100a2 - 140ac - 49c2
Answer: C
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Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 120 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be x'' by y'' by z'' (see the figure below). Then, 
, and the volume
src="https://sciemce.com/media/3/ppg__cognero__8.3_Maxima_and_Minima_of_Functions_of_Several_Variables__media__83349d6a-c74d-453f-ab65-4862ad47be6b.PNG" style="vertical-align:middle;" />. So that 
. Maximize 
.)
?
?
A. x = 20 inches, y = 40 inches, z = 20 inches, V = 16,000 cubic inches
B. x = 20 inches, y = 20 inches, z = 17 inches, V = 6,800 cubic inches
C. x = 22 inches, y = 40 inches, z = 22 inches, V = 16,000 cubic inches
D. x = 22 inches, y = 39 inches, z = 17 inches, V = 14,586 cubic inches
E. x = 22 inches, y = 40 inches, z = 17 inches, V = 14,586 cubic inches
Solve.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give 
when 
and 
What is the volume on this device when the temperature is 
and the pressure is 
style="vertical-align: -4.0px;" /> A. V = 13.6 in3 B. V = 166 in3 C. V = 106 in3 D. V = 136 in3
Use a double-angle formula or half-angle formula to simplify  figure 1.png)
What will be an ideal response?
Verify that the matrix is invertible and find its inverse.A = 
A. A-1 = 
B. A-1 = 
C. A-1 = 
D. A-1 = 