Provide an appropriate response.Is there anything special about the tangents to the curves xy = 1 and 
at their point of intersection in the first quadrant? Explain.
What will be an ideal response?
The tangents are perpendicular. For the curve xy = 1, 
= - 
. For the curve 
The two derivatives are negative reciprocals, and thus the tangents are perpendicular.
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Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00
Determine whether the system of equations is consistent or inconsistent. If the system is consistent, determine whether the equations are dependent or independent.
A. Dependent B. Independent C. Inconsistent
A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm 3 of 7%-saline solution?Amount of 2%-saline solution: __________ cm 3 Amount of 8%-saline solution: __________ cm 3
What will be an ideal response?
Calculate the limit algebraically.
?
?
?
A. 
B. ?
C. ?
D. ?
E. ?