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•Explain how the vertical line test relates to definition of function. What are various representations of relations that we see and how do we determine if the relation is a function in each scenario?
•What makes an equation linear? If an equation is linear, must it be a function? If so, explain why. If not, then provide a counterexample and explain why it is not a function.
•Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
a grain of silo has the shape of a right circular cylinder topped by a hemisphere, as shown below. if the silo is to have a capacity of 504(pie) ft^3, determine the radius and height of the silo that requires the least amount of area to construct.
Problem solving on linear programming
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Calculate what Joyce will pay at the end of the first quarter for (a) state unemployment and (b) federal unemployment. Assume a state rate of 5.6%. Federal is .8%. Base is $7,000.
Question about Probability density function, Let X and Y have joint probability density function f(x,y) (s,t) = ce ^ -(s + 2t) for 0
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
If the water level is rising at a rate of 15000 centimeters per minute when the height of the water is 4500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
How many distinct isosceles triangles with sides of integral legnth have a perimeter of 40cm?
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
The inflection points and global extrema.
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