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From the window in building it is observed that angle of elevation to top of tower is 39 degrees and angle of depression to bottom of tower is 25 degrees. How tall is tower? How high is window?
In what time will trains be able to completely pass each other, provided that trains are moving in same direction with faster train approaching the slower train?
Write down the difference between shape of the quadratic and cubic function? Describe relationship between zeroes of fuction y=f(x)and roots (or solutions) to equation f(x)=0?
The medians of the triangle are line segments from each vertex to midpoint of opposite side. Determine lengths of medians of trangle with vertices at A=(0,0), B=(6,0), and C= (4,4).
One half second after springing from the high diving board the diver reachers her highest point above water at 4.225m. If diving board is 3m aboove water, determine how long is diver in air?
The proposed energy tax T on gasoline, that would affect cost of driving vehicle, is to be calculated by multiplying number x of gallons which you purchase by 125,000.
On the single set of axes, draw horizontal line through ( -2, -1) and vertical line through (-2, 3). Find intersection of the lines? Write the equations of the lines?
Compute the polar coordinate point which is equivalent to (-3,6). Determine rectangular coordinate point that is equivalent to point -2cos60°.
The typical tire for the compact car is 22 inches in diameter. If car is traveling at the speed of 60 mi/hr, determine number of revolution tire makes per minute.
According to the function, find maximum number of households which will use product? According to the function, how many households will be using product 2 months after its introduction?
Growth rate y (in pounds per month) of the infant is associated to present weight x (in pounds) by formula y=cx(21-x), where c is the positive constant and 0<x<21. At what weight maximum gowth
Create the sketch of box and include labels. Formulate the suitable equation. Determine dimensions of box. Compute area of base of finished box.
I current which flows throughit (in amperes), then R=V/I. If voltage is 110, what values of resistance will result in the current which does not exceed 10 amperes?
Which function contributes most to magnitude of sum when 0 < x< 2? Which function contributes most to magnitude of sumwhen x> 6? f(x) = 3x =2 g(x) = -sqrt(x + 5).
Every well capped(shut down) would increase producton of every remaining well by eight barrels per day. Model oilfield's daily production function f(x), where x is number of wells drilled (x>0) o
Determine period, vertical shift, amplitude, phase shift, and put it together in function. How many hours of sunlight were there on May 1st (119th day of the year)?
t is time in seconds after ball was thrown. When baseball reaches its maximum height? Determine maximum height of the baseball?
Write the coefficient matrix corresponding to system of linear equations. Determine the inverse of this matrix? Determine transpose of this matrix?
Estimate given trigonometric functions for t =3π/4 SEC,CSC, and COT. Estimate given trignomotric functions for (3,-5) COS, SIN, SEC, and CSC.
Determine the formula for quadratic function with vertex (2,4). Express in vertex form. State numerial quantities in form of the simple fraction, if it is essential.
Consider f be quadratic function whose graph is a concave up parabola with the vertex at (4,-80) and the zero at the origin. Compute formula for f (x) and determine other zero.
Compute a function which models area of window. Compute dimensions of window which admits greatest amount of light.
The property owner wishes to fence the garden plot adjacent to road. Determine garden dimensions which minimize cost of fencing.
Determine dimensions which provide largest area for rectangle. Its base is on x-axis and other two vertices area bove x-axis, lying ont parabola y = 8 - x^2.
Determine two positive numbers whose sum is 100 and sum of whose squares is minimum. Determine two numbers whose sum is -24 and whose product is amaximum.