Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the semicircle y = 
if the density of the rod is 
.
A. 
= 
, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 1
D. 
= 1, 
= 1
Answer: B
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Solve the problem.A lot is in the shape of a right triangle. The shorter leg measures 90 m. The hypotenuse is 30 m longer than the length of the longer leg. How long is the longer leg?
A. 120 m B. 90 m C. 180 m D. 150 m
Find the integral.
A. 
+ C
B. ln 
+ C
C. ln 
+ C
D. 
+ C
Solve the equation on the interval [0, 2?).cos
- cos
= 1
A. 
, 
B. 
, 
C. 
, 
D. 
, 
Provide an appropriate response.A projectile is launched from the ground with an initial velocity of v0 feet per second at an angle of ?° above the horizontal. Write parametric equations in terms of v0 and ? that model the flight of the projectile. Explain how you would use these equations, for given values of v0 and ?, to determine the horizontal distance traveled by the projectile.
What will be an ideal response?