# Differential Equations

### Quizzes

1. |
The line below has slope -1.5.
Determine the value of the missing number. -> -3 |

2. |
Determine the indicated value. -> 11 |

3. |
If f (x) = x^{2} + 3, use a tangent line to f at x = 1 to estimate f (.75). -> 4.5 |

4. |
The picture below shows the tangent line to f at x = 2: Estimate |

5. |
Let y = f (x) be a solution to the initial value problem
Use a tangent line to approximate |

6. |
Let y = f (x) be a solution to the initial value problem
Use Euler's method with 2 steps to approximate |

7. |
Let y = f (x) be a solution to the initial value problemEuler's method with more than one step is used to approximate |

8. |
Let f (x) be a differentiable function defined for all real numbers, and let a be a real number. Which of the following statements is true? -> If f is concave up and decreasing then the tangent line to f at x = a lies under the graph of f. |

9. |
If y(0) = 0 and , what is the error when Euler's method with 2 steps is used to approximate y(2)?
-> 5 |

10. |
Let y = f (x) be a solution to the initial value problemEuler's method produces -> an underestimate to the value |