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1. Explain why there are no points on the graph in the third quadrant. That is, based on the equation x^(2)y+xy^(2)=1, explain why the graph contains the points that it does. Explanations can begin with a phrase like "As x increases..." or "As y increases"
2. There is a point at which there is a horizontal tangent line. Find its coordinates.
3. Based on symmetry, state the coordinates of the point at which there is a vertical tangent line. Then give a brief algebraic justification of your answer. You do not need to numerically find the coordinates, just show the algebraic equation that must hold and point out the symmetry to the horizontal tangent case.
Using the above sales numbers in for your toaster company in 2007 and 2009 and by showing your work using scientific notation, find the percentage growth or percentage loss between 2007 and 2009. (20% of grade)
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
a pole is driven into the ground so that 7/8 of the pole is above the ground. If the pole is 6m. long. How long is the part of the pole driven in the ground?
show that the construction given in the text for constructing a square equal to the difference of 2 squares is correct.
Descriptive statistics
A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 9 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole..
find the cubed roots of 27i. so n3 answer should be in standard form. use 27 cis 90 degress which is the trigonometric
Find the least number of cables required to connect eight computers to four printers to guarantee that four computers can directly access four different printers. Explain.
Probability density function sample question, Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die
the time it takes for a planet to complete its orbit around a particular star is called the planets sidereal year.the
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Determine if the given function can be extended to a continuous function at x=0. If so, approximate the extended function's value at x=0 (rounded to four decimal places if necessary).
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