Provide an appropriate response.Graph the equation 
for several values of a in order to get an idea of what these curves look like. (Try both 
and 
Show that the graph will have an inner loop for every a such that 
and find the values of ? that correspond to the inner loop.
What will be an ideal response?
For any a, the graph will be traced out as ? varies from 0 to 2?. The loop will occur when r is negative. For 
for all ? so there is no loop. For 
when 
For 
when 
and 
You might also like to view...
For the point given in rectangular coordinates, find equivalent polar coordinates 
for 
and 
(2
, 2)
A. (2, 45°) B. (8, 30°) C. (4, 30°) D. (4, 60°)
Solve the problem.The variable z varies jointly as the third power of x and the second power of y. When 
and 
Approximate the constant of variation to three significant digits.
A. 3.83 B. 6.83 C. 3.43 D. 4.93
Solve the problem.The motion of a projectile that is fired at a 30° angle with the horizontal is given by x = v0
t, 
for t in 
Suppose a projectile is fired with an initial velocity of 650 feet per second at an angle of 30° with the horizontal. Find (a) the time when it reaches maximum altitude (b) the maximum altitude.
A. (a) 40.6 sec (b) 3301 ft B. (a) 17.6 sec (b) 14,854 ft C. (a) 20.3 sec (b) 11,434 ft D. (a) 10.2 sec (b) 1650 ft
Provide an appropriate response.You are asked to change 5
to an improper fraction. What should be your first step?
A. Multiply 8 and 5. B. Divide 8 by 13. C. Multiply 13 and 5. D. Add 5 and 8.