Math 151 Test 2 Print Name Time: 9, 10, 12
Recall that the slope of the tangent line for at a point is defined to be
Use the definition to find the slope of the tangent line at
Find the tangent line equation at
Consider , interpret it as the slope of the tangent line for a function at a point. You need to identify the function and the point.
find by showing your work,
determine if is continuus at explain.
sketch the graph of
If Then use the squeezing principle to find the limit of [Specify two functions when applying the squeezing principle.]
Determine the value so that the function is continuous everywhere.
Sketch the function after you find your answer for the number
Define a function , whose graph is similar to the function, and satisfies ALL the following conditions:
the period of is
the function has amplitude of
the function has a maximum at
Explain why graphically.