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# 1. If A is a function of B and B is a function of C, then what kind of relationship is there between A and C? A) Explicit B) Indirect C) Implicit D)

10. Which of the following can be used to model population growth?
A)
B)
C)
D)

11. Which of the following can be used to model Newton’s Law of Cooling?
A)
B)
C)
D)

12. Which of the following could be used to describe to model how long it would take drain a swimming pool?
A)
B)
C)
D)

13. Which of the following could be used to describe modeling how high a golf ball will ascend after being driven from a tee shot?
A)
B)
C)
D)

14. Consider this solution equation
What is needed to define the values of c1 and c2?
A) The values have to be predefined
B) Boundary conditions must be known
C) Initial values have to be defined or determined
D) All of the above

1. If A is a function of B and B is a function of C, then what kind of relationship is there between A and C? A) Explicit B) Indirect C) Implicit D) Conventional 2. Consider this function: f(x) = 3x 3 + 3(x + 2) – 1. Here, x is a(n) ____ variable of f. A) Explicit B) Indirect C) Implicit D) Conventional 3. Let f(x) = 3x + 4, x(y) = y - 9, and y(z) = z 2 + 1. Implicitly, if z = 3, f = ? A) 7 B) 10 C) 1 D) 9 4. Which of the following is not a differential equation? A) y ’ = 3xy + 4 B) y = 3y + 4 C) dy = (3x + 4)dx D) y ‘’ = 3y 5. A differential equation is one that is: A) a combination of integrals and derivatives B) an implicit function of derivatives C) a combination of functions and derivatives D) None of the above 6. The distance equation was used as an example of: A) an explicit function B) an implicit function C) Euler’s Method D) a differential equation 7. What was placed over the distance variable, d, to distinguish it from the differential symbol, d? A) Diamonds ( ) B) Carats ( ^ ) C) Dots ( • ) D) Asterisks ( * ) 8. Euler’s Method is used to solve: A) Implicit functions B) Incremental functions C) Difference equations D) Differential functions 9. When using Euler’s Method, as the incremental steps become finer and finer, the approximation to the differential equation solution becomes: A) grosser and grosser B) finer and finer as well C) divergent D) inverted 10. Which of the following can be used to model population growth?
A) B) C) D) 11. Which of the following can be used to model Newton’s Law of Cooling? A) B) C) D) 12. Which of the following could be used to describe to model how long it would take drain a swimming pool? A) B) C) D) 13. Which of the following could be used to describe modeling how high a golf ball will ascend after being driven from a tee shot? A) B) C) D) 14. Consider this solution equation
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