Solve the problem.The formula y = 
models the relationships needed to focus an image where y is the distance between the film and projector lens, x is the distance between the move screen and the projector lens, and f is the focal length. a) Sketch the graph of this rational function for f = 5 centimeters. 
b) Bob and Carol are showing home movies. Use the graph to describe the desired distance between the film and the projector lens as Carol moves the projector further from the screen.
What will be an ideal response?
a)
b) To remain focused, the desired distance between the film and the projector lens decreases and approaches 5 centimeters as the distance between the movie screen and the projector lens increases.
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Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola.y = ± 
x; F(0, ±
); V(0, ±2)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Solve the equation by completing the square.x2 + 4x - 9 = 0
A. {-1 - 
, -1 + 
}
B. {-2 - 
, -2 + 
}
C. {-2 - 1
, -2 + 1
}
D. {2 + 
}
Solve the equation for the indicated variable. Assume that the dimensions are such that matrix multiplication and addition are possible and that inverses exist when needed.Solve for A: AY - A = B
A. A = Y-1 B - I B. A = B(Y - I)-1 C. A = (Y - I)-1 B D. A = BY-1 + I
Given that an object is at position 
at any time t , find each of the following.
a) v (t ) . b) a(t ) . c) The position, velocity and acceleration when t = 7?/12.