Verify that the following equation is an identity.
Expand expression on the left-side, but do not apply any trigonometric identities.
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How can you tell if an equation is not an identity? Show that the following equations are not identities.
You are given rectangular cardboard which is long and wide. We are then asked to create an open box from it by cutting equal squares of length, , from the corners and then we fold it at its side.
How do we write the volume of the box as a function of ? Do not expand the expression.
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the
rectangle. What is the largest possible total area of the four pens?
Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it.
Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols.
Write an expression for the total area.
Use the given information to write an equation that relates the variables.
Use part (d) to write the total area as a function of one variable.
Finish solving the problem and compare the answer with your estimate in part (a).
long and 
wide. We are then asked to create an open box from it by cutting equal squares of length, 
, from the corners and then we fold it at its side. 
? Do not expand the expression.