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Rates of change apply to many different situations, not just distance-time or motion. While we have not discussed these specific types of problems, try and apply what you have learned about rates of change to answer the questions.
a. Water pours out of the bottom of a cylinder and out of a cylindrical cone (see diagram) at a constant rate. Sketch a graph that might show the height of the water as a function of time (height-time graph) first for the cylinder and then for the cylindrical cone.
b. There is a hole in a tank of water. A significant amount of water is pouring out of the hole. A special sealant is put into the tank. After a half an hour it starts to gradually clog up the hole until no more water leaks out. Sketch a graph of the amount of water in the tank as a function of time (amount of water-time graph) that would reasonably match the given description.
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
Identify the sample and suggest a population
Evaluate the ratios and check are the ratios equivalent.
Define variables and profit function
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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