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Given one focus at (4,2) and the equation of one directrix as y=4, determine the equation of the ellipse with an eccentricity of 1/2.
Given the coordinates of one focus as (4,2) and the equation of one directrix as y=4, determine the equation of the ellipse with an eccentricity of ½.
Fencing for the north and south sides costs $9 per foot and fencing for the other two sides costs $6 per foot. What is the maximum area that can be enclosed for $5400?
Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of the motion, and the time t that it takes to complete one revolution around the cir
List all the possible rational zeros using the Rational Zeros Theorem. Use Descartes' Rule of Signs to determine the number of positive real zeros and negative real zeros.
Write a formula that defines, the angle swept out by the ball in radians in terms of t, the number of seconds since Bill started twirling the ball at this rate.
The Orbit" is a ride at an amusement park that rotates passengers seated 28 feet from the center of rotation at 1.8 radians/sec counterclockwise. How many seconds does it take The Orbit to make one f
Given point P(-15/17, 8/17) in on the unit circle U corresponding to a real number t. Find the values of the trigonometric functions at t.
Radioactive iodine , 131I which is frequently used in tracer studies involving the thyroid gland, decays according to N= N0 (0.5) t/8 , where N0 is the initial dose and t is the time in days. Find the
Worker one applies 200 lbs of force, while worker 2 applies 120 lbs of force. Approximately how much force is applied to the stump?
A standard 400 meter running track has semi-circles at each end. How many radius lengths mark-off the entire arc length of a semi-circular end of the track? Give an exact result.
Suppose that 2¢ is deposited in a savings account paying 1% annual interest compounded continuously. How much money will have accrued in the account after 2000 years?
How long does it take the restaurant to rotate through 4 radians? How far does a person sitting by the window move in 100 minutes if the radius of the restaurant is 21 meters?
Given that prices cannot be negative and that demand should be zero or more, what domain makes business sense for the demand function? Use inequality notation.
Cable C requires 2 black, 1 white, and 2 red. If 100 black wires, 110 white wires, and 90 red wires were used, then how many of each cable were made?
Determine the equation of the directrix of the parabola which includes the origin, is symmetric about the y-axis and passes through (6, 3)?
Find the volume of the solid that lies within the sphere x^2+y^2+z^2=64, above the xy plane, and outside the cone z=7sqrt(x^2+y^2).
Define the terms maximus and minimum of a function. What is the formula that gives the x- coordinate of the vertex for a parabola?
Find the angular speed of the wheels in rad/min, convert miles to inches & hours to minutes: How many revolutions per minute do the wheels make?
By what angle does the current push the boat off its due east course? Your answer should be a positive angle less than \pi radians.
If the bug travels 65 cm around the circle from the 3 o'clock position, what angle measured in radians did the fan turn? Round to the nearest hundredth.
Assuming that the wind sheild is flat and rectangular, what is its area if it is 1.50m wide and the bottom is 0.48m in front of the top?
Two times as many gallons of Regular as Premium gas were sold. How many gallons of each type of gas were sold that day?
A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are? The price that company should charge for each drill in order to maximize profit is?
State three terms that mean "solution" for quadratic equations. Explain how you can use the graph of the quadratic function f(x) to solve the equation f(x) = 0