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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.
find the measure of an angle whose complement is eight times its
The length of a rectangular parking lot is 40 ft more than the width. If the parking lot is iv feet wide, express its area as a function of the width.
Simplify every statement form as a tautology, a contradiction, or neither.
Solve the given fraction
Compute the domain of the logarithmic function.
Factor the following expression
What does it mean when something grows or decays exponentially? How is that different then rising or falling linearly? Give an example of a real life application of exponential growth or decay. Include the link to a website to show this.
Estimate the product of two factors. A student rounded one factor down and left the other factor unchanged. Was the estimate greater or less than the exact product?
Simplify the following inequality.
write the equation of the parabola that passes through point -12 that has a vertex of
the electric current in a in a circuit with a battery of voltage e a resistance r and an inductance l is i er1-e-rtl
For the rational expression (x^2-1) / (x+1)^2, the domain of this is expression is?
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