Provide an appropriate response.Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.
What will be an ideal response?
In the equation of an ellipse, the x2- and y2-terms both have positive coefficients. In the equation of a hyperbola, one squared term has a negative coefficient (either x2 or y2 but not both).
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Use the multiplication principle to solve the equation.-x = - 
A. - 
B. - 
C. 
D. 
Find the particular solution to the given differential equation that satisfies the given conditions.x dy - y dx = 3x3 dy + 3x2y dx; x = 1 when y = 1
A. y = 3x2y B. y = 3xy2 - 2x C. y = 3x2y - 2x + c D. y = 3x2y - 2x
An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 2 cos 5?t meters
A. displacement = -2 meters; period = 
seconds; f = 
oscillations/second
B. displacement = 2 meters; period = 
? seconds; f = 
oscillations/second
C. displacement = 2 meters; period = 
seconds; f = 
oscillations/second
D. displacement = 2 meters; period = 
seconds; f = 
oscillations/second
Identify the number as rational or irrational.
A. Rational B. Irrational