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Find all points of intersection (r,θ) of the Lemniscate r^2=16cos(2θ), and the circle r=3 for values of θ satisfying -π/2<θ<π/2. Note: In this problem the curves intersect at two points. Enter the answers in the form (r,θ) with θ measured in radians.
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
What is the purpose of a dashed line when graphing a non-linear inequality? Give examples of graphs with and without dashed lines.
Find the operating ratio for M. Ng's Grocery if the income statement for the month shows net sales, $23,500; cost of goods sold, $16,435; gross profit, $7,065.
A large apartment building is to be built using modular construction techniques. The arrangement of apartments on any particular floor is to be chosen.
The braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet.
A boat is pulled into a dock by means of a winch 16 feet above the deck of the boat. The winch pulls in rope at a rate of 9 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out.
Ole Christian Borgesen needs to calculate the effective interest rate of a simple discount note for $16,000, at an ordinary bank discount rate of 8.4%.
Recent statistics show that France had 789.48 cellular phones for each 1,000 people. Express the number of phones in words.
suppose the line y 4x - 1 is tangent to the curve y fx when x 1. if newtons method is used to locate a root of the
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
Write a equation. A model rents double rooms for $55 per day and single rooms for $26 per day. If 23 rooms were rented one day for a total revenue of $1033, how many rooms if each kind were rented
If an eligible voter who participated in the survey and voted in the election is selected at random, what is the probability that this person is a housewife?
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