Differential Equations True or False

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) = x² + 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

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