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The signal light on the ship is the spotlight with parallel reflected light rays. Determine equation of parabola using axis (right positive) and vertex at origin
True or false? Provide proofs, arguments, or instances. If f'(a) = 0 and f"(a) = 0, f doesn't have the minimum or maximum at a. The differential equation N'(t) = 1/N(t) explains the growing population
You wish to make the closed box has the square base with side x and height h, and the volume of 8 cubic feet. Determine values of x and h which minimize surface area. Use second derivative test.
In 2008, median price of the compact car was $16,800. Rate of increase is supposed to be 4% per year. What we can expect price of such car be in 2010?
Given function y = A cos ( Bx plus minus C) + D, amplitude is | A |, period is 2 Π/B, phase shift ( horizontal) is C / B and vertical shift is D. Determine horizontal shift of function. y = 3 + 2 c
When price reduced to $9, average attendance rose to 31,000. Suppose that attendance is linearly connected to ticket price, find ticket price that would maximize revenue?
Amount invested at 6% is 3000 less than amount invested at 5%. Determine amount invested at every rate. Setup suitable system and solve.
Express volume of box, V, in cubic inches, as the function of length of side of te square cut from each corner, x, in inches. Determine the domain of V.
Every time heart beats, blood pressure first rises and then reduces as heart rests between beats. Compute blood pressure reading. How does compare to normal blood pressure?
Consider \(f(x)=3-3x/x^2-4x\). Calculate the asymptote(s) of f. Make the sign table to compute where f is positive and where f is negative.
For each of given three cases, determine angles of refraction, compute refractive indices, and briefly explain direction of D vectors for o and e waves inside the crystal.
Round estimated answers in radians to four decimal places and estimated answers in degrees to nearest tenth. Write answers utilizing least possible non-negative angle measures.
Populations P (in thousands) of the certain city from 2000 through 2007 can be modeled by P = 346.6ekt. Utilize model to determine populations of the city in 2010 and 2015.
Stopping distance d (in ft) of the car going v mi/h is given by d= v+1.0v^2. As d= f(v), compute f(40), f(2v), and f(80) using both f(v) and f(2v).
From the point B, that is 60 feet closer to the building, angle of elevation is 20.2 degrees. Compute the height of the building.
Two tugboats which are 120 feet apart pull the barge. If length of one cable is 212 feet and length of other cable is 230 feet, determine angle formed by two cables.
To evaluate their height above ground, balloonists concurrently measure angle of depression to two consecutive mileposts on road on same side of balloon. Angles of depression are found to be 20! and
Angle of depression to bottom of pole is 14!, and angle of elevation to top of the pole is 18!. Determine her distance x from pole.
In one day stand sells 145 boxes of strawberries for the total of $1,115. How many boxes of every kind were sold?
Assume population of the town increased or decreased by given percentages. For every situation, determine annual percent change of population.
Distinguish following function two methods, first multiply out brackets and distinguish, and second use product rule, then multiply out brackets. Check that you get same result both times.
Determine the equation which explains position of point P above its res position as the function of time. Take t=0 to be instant that string is released.
Variable star has the average radius of 20 million miles and changes by the maximum of 1.5 million miles from average during single pulsation. Determine the equation which explains radius of this st
Mass is released at time t=0 and permitted to oscillate if mass returns to the position after 1 s determine equation which explains its motion.
In the predator/prey model predator population is modeled by given function. Determine length of time between successive periods of maximum population?