Write a chain rule formula for the following derivative.
for w = f(p, q); p = g(x, y), q = h(x, y)
A. 
= 
+ 
B. 
= 
+ 
C. 
= 
D. 
= 
+ 
Answer: B
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Find the area or volume.Find the area under y = 
in the first quadrant.
A. 5?
B. 10?
C. 
?
D. 
?
Solve the problem.A boat is sailing directly toward a lighthouse that is 90 ft tall. The angular size ? of the lighthouse is the angle formed by the lines from the top and bottom of the lighthouse to the observer on the boat, as shown in the figure. What is the rate of change of the angular size d?/dx when the boat is 300 feet from the lighthouse?
A. -0.00010 rad/ft B. 0.00526 rad/ft C. -0.00917 rad/ft D. -0.00092 rad/ft
Solve the problem.A coin collection consists of only nickels and quarters with a value of less than $10. Let n = the number of nickels and q = the number of quarters. (a) Write an inequality that describes the possible numbers of nickels and quarters in the collection. (b) Graph the inequality. Because n and q must be whole numbers, restrict the graph to Quadrant I. (c) Could this collection consist of 107 nickels and 32 quarters?
A. (a) q > 50 - 0.25n;
(b)
(c) yes
B. (a) q < 50 - 0.25n;
(b)
(c) no
C. (a) q > 40 - 0.2n;
(b)
(c) yes
D. (a) q < 40 - 0.2n;
(b)
(c) no
Find the midpoint of the segment having the given endpoints.(7, 1) and (-16, -16)
A. (9, 15)
B. 
C. (-9, -15)
D. 