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Determine airspeed of each plane of cities are 275 miles apart and planes pass each other after 40 minutes of flying time.
The radio telescope has the parabolic surface. If it is 1m deep and 8m wide, how far is focus from vertex? Determine partial-fraction decomposition of 6x+1/(3x+1)^2.
Write the equation which expresses relationship. Use k for constant of proportionality. r differs directly as square of s and inversely as the cube of t.
Use Descartes rule of signs to find possible number of positive and negative real zeros for given function. f(x)=6x8-9x7+x6-3x+18
Wrtite down form of partial fraction decomposition of rational expression. It is not essential to solve for constants. 2x-5/(x+2)(x^2+x-4)
Determine all critical points of f(x)=2x^4+16x^3+36x^2 and categorize each as the relative minimum, relative maximum, or neither one.
Assume terminal point on unit circle determined by number t is (-2/3, y). Assume point in quadrant II. (a) Determine value of y; (b) Determine values of six trigonometric functions of t
Determine area of the triangle with sides of length 8 and 30 and included angle 39 degrees.If first ship travels at 26 miles per hour and second ship travels at 34 miles per hour, how far apart are
Assume that the superball dropped from the height of 16ft always rebounds 1/2 of distance fallen. Approximately how far does ball travel before coming to rest?
The middle school mathematics teacher accepts the teaching position which pays $30,000 per year. Determine the expression for nth term of arithmetic sequence.
Due to market demand farmer will grow twice as many acres of wheat as of corn. He has assigned $57,000 for cost of growing his crops. How many acres of every crop must he plant?
Food A contains 0.11 unit of niacin and 130 units of retinol per gram. Food B has 0.27 unit of niacin and 70 units of retinol per gram. How many grams of every food does she feed this group of rats
Assume that demand equation for the certain commodity is q=500-2p (for 0 ≤ p ≤ 250). Find where (on what intervals) demand is elastic,inelastic, and of unit elastic with respect to price
Determine probability of indicated event. She gets one of each color other than fluorescent pink, provided that she gets fluorescent pink one.
Assume that the superball dropped from the height of 12 ft always resbounds 1/3 of distance fallen. Aproximately how far does ball travel before coming to rest?
If 6 days have passed since beginning of week, and sales records accurately forecasts results for number of movies sold, find highest number of movies store could currently have on shelves?
Assume you have the Scientific calculator where some keys are broken. Only keys which work are digits 0 to 9, +,-,x, Divide, ln and e^x. Describe how you can use this calculator to compute square ro
Man stands 30 ft from the tree. Angle of elevation to top of tree is 65 degrees. How long is his line of sight? Wheel of radius 2 ft rolls down a hill at 13 mph. Find angular speed in degrees per minu
When standing 10 feet from base of the building, you measure that bottom of the large window is at 45 degrees from horizontal, while top of window is at the angle 60 degrees. How tall is window?
Assume that in the relatively pristine area acreage (in thousands) available to caribou after t years. Determine average rate of change in acreage from t=0 to t=1
Determine intercept(s) of f. b.) Determine the asymptote(s) of f. c.) Create the sign table to determine where f is positive and where f is negative. d.) use parts (a) through (c) to sketch the grap
In 5 years, Joe is going to get $100.000 from the trust. If money in trust fund is invested at 3 2% interest compounded continuously, find present value of Joe's legacy?
Marginal cost of producing the certain commodity is C'(x)= 7x +3 dollars per unit when x units are being made. Determine total cost of manufacturing first 20 units?
Person leaves home and walks 2 miles due west. She walks 3 miles southwest. How far away from home is she? In what direction should she walk to head directly home?
The kite on the 50-foot string is flying at the angle of 20 degrees to flat ground. Compute magnitude and direction of vector from kite to ground?