1.
The line below has slope -1.5.

Determine the value of the missing number. -> -3
True
False

2.
Determine the indicated value.

-> 11
True
False

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

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

Estimate f (2.1). -> 2.2
True
False

5.
Let y = f (x ) be a solution to the initial value problem

Use a tangent line to approximate f (1.5). -> 4.5
True
False

6.
Let y = f (x ) be a solution to the initial value problem

Use Euler's method with 2 steps to approximate f (3). -> 35.1
True
False

7.
Let y = f (x ) be a solution to the initial value problem

Euler's method with more than one step is used to approximate f (2). Which of the following numbers is most likely to be the value found by the approximation? -> 0
True
False

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 .
True
False

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

10.
Let y = f (x ) be a solution to the initial value problem

Euler's method produces -> an underestimate to the value f (1).
True
False