**1. If f(x) = 3x**

^{2}, then F(x) =**a) 6x**

**b) x**

^{3}**c) x**

^{3}+ C**d) 6x + C**

**2. The two types of errors that are related to differentials are:**

**a) Human, Absolute.**

**b) Absolute, Relative.**

**c) Relative, Controllable.**

**d) Controllable, Natural.**

**3. Mathematically, what is a differential?**

**a) A gear box on the back end of your car.**

**b) A word used a lot on a popular medical television series.**

**c) A method of directly relating how changes in an independent variable affect changes in a dependent variable.**

**d) A method of directly relating how changes in a dependent variable affect changes in an independent variable.**

**4. The 2nd derivative of a function at point P is 0, and concavity is positive for values to the right of P. What must the concavity be to the left of P for P to be an inflection point?**

**a) The concavity must also be positive.**

**b) The concavity must be negative.**

**c) The concavity must be neutral (0).**

**d) The concavity must be imaginary.**

**5. At what value of q is the concavity of w(q) = -2, if w(q) = q**

^{4}- 16?**a) At q = fourth root of 14.**

**b)At q = 0.**

**c) Never; w(q) is always concave down.**

**d) Never; w(q) is always concave up.**

**6. What is needed to fully determine an anti-differentiated function?**

**a) A lot of luck.**

**b) A boundary condition.**

**c) What its value is at (0, 0).**

**d) Its real world application.**

**7. It has been determined that g(p) has a maximum at p = -47.6. What can be said of the function's concavity at that point?**

**a) g ''(p) = 0**

**b) g ''(p) > 0**

**c) g ''(p) < 0**

**d) There's no way to tell without first knowing what the specific function is.**

**8. What are the values of C**

_{0}and C_{1}in d(t) = C_{1}+ C_{0}t - 16t^{2}, if d(1) = 4 and v(2) = -65?**a) C**

_{0}= -1, C_{1}= 21**b) C**

_{0}= 1, C_{1}= -21**c) C**

_{0}= -1, C_{1}= 19**d) C**

_{0}= 0, C_{1}= 1**9. G(d) was determined to be 3d + C; here, C is called:**

**a) the constant of differentiation.**

**b) the constant of anti-differentiation.**

**c) the constant of integration.**

**d) the constant of death and taxes.**

**10. Does f(c) = (c + 2)**

^{3}− 2 have an inflection point? If so, where is it located?**a) Yes, at (-2, -2).**

**b) Yes, at (2, -2).**

**c) Yes, at (8, -2).**

**d) No.**