Change the polar coordinates (r, ?) to rectangular coordinates (x, y).(-10, 225°)
A. (5?, 5?)
B. (5
, 5
)
C. (5
, 5
)
D. (-5
, -5
)
Answer: C
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Write the expression in terms of sines and/or cosines, and then simplify.cos x + tan x sin x
A. csc x B. sec x C. sin x + cos x D. cos x + sin2 x
Find the limit.
ln (z
)
A. ln 2
B. ln 4
C. ln 
D. 0
Solve the problem.From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
A. 13.3 in. by 13.3 in. by 13.3 in.; 2370.4 in.3 B. 20 in. by 20 in. by 10 in.; 4000 in.3 C. 26.7 in. by 26.7 in. by 6.7 in.; 4740.7 in.3 D. 26.7 in. by 26.7 in. by 13.3 in.; 9481.5 in.3
Solve the problem.Arches in the shapes of parabolas are often used in construction. Find the equation of a parabolic arc that is 26 feet high at its highest point and 30 feet wide at the base, as illustrated in the figure. Place the origin at the midpoint of the base.
A. y = -x2 + 30
B. y = -x2 + 26
C. y = - 
x2 + 26
D. y = 
x2 + 26