Eliminate the parameter. Write the resulting equation in standard form.A hyperbola: x = 1 + 6 sec t, y = 5 + 2 tan t
A. 
- 
= 1
B. 
+ 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Answer: C
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Solve the equation after making an appropriate substitution.2
2 + 
+ 2 = 0
A. 
B. 
C. 
D. 
Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = 
- 
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each of the independent variables.
A. PV = 
- 
; PT = 
B. PV = 
; PT = 
- 
C. PV = - 
+ 
; PT = 
D. PV = 
- 
; PT = 
Multiply and simplify any radicals in your answer. Assume that all variables represent positive real numbers.(5
+ 2)(2
+ 4)
A. 198 + 24
B. 8 + 10
+ 20
C. 38
D. 18
+ 20
Find an equation in slope-intercept form of the line satisfying the specified conditions.Through (-7, -5), perpendicular to -9x + 2y = 73
A. y = 
x - 
B. y = - 
x - 
C. y = - 
x - 
D. y = - 
x - 