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The searchlight is shaped like the paraboloid of revolution. If light source is situated 5 feet from base along axis of symmetry and opening is 8 feet across, how deep should searchlight be?
Use basic trigonometric identies to determine exact value of expression. Provided cos t = 2/3 and sin t< 0, determine sin t.
City A is due north of City B. Determine distance between City A (North latitude 50 degree 26 ' N) and City B (Latitude 48 degree 18' N). Use 3960 miles as the radius of the Earth.
The painter leans the 27 foot ladder against one wall of the house. At what height does ladder touch wall if foot of ladder is 11 ft from the base of wall?
Convert polar equation to rectangular form. recognize the curve. The brick staircase has the total of 19 steps. Bottom step needs 103 bricks.
Examine the family of curves provided by equation of left parenthesis x right parenthesis equals x to power of 4 plus c x squared plus x.
If equation of the cross-sectional view of the parabolic mirror is y^2=20x , where xand y are in centimetres, find distance between vertex of mirror and filament if light rays are to diverge after r
Suppose that all animals mature in 2 months and make the pair of offspring (one male, one female) after 4 months. If no animals ever die, find number of pairs of mature animals after 10 months?
Guy wire is to be attached to top of tower and anchored at the point 55 ft downhill from base of tower. Determine shortest length of wire needed?
If characters are symbolized using the code which uses the nibble for each character, how many different characters can be signified?
Of this total, twenty had black hair and 8 were fortunate enough to have the whole row of seats to themselves. How many of black-haired people had whole rows to themselves?
In every multiple-choice questions, you should choose correct answer from the list of five. Determine number of answer sheets possible?
After 10 minutes temperature of water has reduced from 100 degrees C to 75 degrees C. Determine temperature after nine minutes.
You have $20000 dollars now and average rate of change in the net worth is $5000 per year. How much money will you possess in x year? In 40 Years?
Determine the domain of f(x)=1/x^2+2 and explain what should be done to graph of f(x)=sqrt x to get graph g(x) = sort x-3-2.
Every time it strikes ground, it bounces up to .75 of previous height. Find total distance does ball travel before it stops bouncing?
How many rows are in corner section of the stadium containing 672 seats if first row has 12 seats and each successive row has 2 extra seats?
Hotel tells you that they will raise temperature by 10% each hour. If present temperature of hot tub is 75 degree F, find temperature of hot tub after 3 hours to nearest 10th of the degree?
On same set of axes, graph C as the function of t for injections of 1, 2, 3, and 4 mg. Put scale on the axes. Write each graph with corresponding injection levels.
Solve system using substitution method. x+y=6; y=x^2-8x+16 By using synthtic division to divide f(x)=x^3+15x^2+71x+105 by x+7. Use results to find all zeros of f.
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)