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Sketch the graph of f(x) = 4x^3 - x^4, clearly indicating any critical points, points of inflection, intervals on which f is increasing or de- creasing, intervals on which f is concave up or concave down and x- and y-intercepts.
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
Does the following graph have an Euler circuit, an Euler path, both, or neither? Give reasons for your decision.
Formulate a set of first order differential equations and initial values in the variable U1 = y and U2 = y' that is equivalent to the above differential equation.
Discuss the difference in appearance of a graph of an equation and a graph of an inequality.
If a 1500 dollar refrigerator depreciates completely in 11 years, find a formula for its value as a function of time,x ,in years.
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
a car is traveling along a straight level road at 45 mph (66 ft/s). when the driver is forced to apply the breakes to avoid accident. if the breakes supplied a constant deacceleration of 22 ft/s^2. how far does the car travel before coming to a co..
Express the number in scientific notation.The diameter of Neptune: 49,600,000 m and Perform the indicated calculations. Write your result in scientific notation. (8 x 108)(5.4 x 103)/(2.7 x 1014)(2 x 1015)
nuts to you shoppe sells cashews for $15 per kg and pecans for $10 per kg. how many kilograms of each should be missed in order to get 20 kg of a mixture worth $12 per kg?
a semicircular plate 14 feet in diameter sticks straight down into fresh water with the diameter along the surface. Find the force of the water on side of the plate. The weight-density of water is 62.4 lb/ft^3.
What is the generating function for the number of great-grandchildren an armadillo willhave? What is its expectation? (Note: do not expand powers of sums)
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