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Let polar equation r = 2a ( 1 - sin θ ), where a is a positive constant. Determine polar coordinates of points P and Q in which curve intersects circle r = a.
The height of the outdoor basketball backboard is 121/2 ft, and backboard casts the shadow 17 1/3 ft long. Utilize the trig function to write the equation involving unknown quantity.
The passenger in the airplane flying at the altitude of10 kilometers sees two towns directly to left of plane. The angles of depression to towns are 28 degrees and 55 degrees. How far apart are town
Additionally, every monthly bill has the customer charge of $7.58. If last year's bills ranged from the low of $63.47 to the high of $214.53, over what range usage differed (in kilowatt-hours)?
Select values of h which get closer and closer to 0. What value average rate of changes of f approach as h approaches 0?
Solve the given applied problem. Vertical distance d (in cm) of end of robot arm above the conveyor belt in its 8-s cylce is provided by d = 2r² - 16t + 47. Draw graph of d = f(t).
The two markets require at least 400 bushels and 600 bushels respectively. Determine the system of inequalities which model description.
Margins at top and bottom are 2 inches, and margins on every side are 1 inch. Illustrate that total area A of page is provided by A=2x(2x+11)/x-2.
The rectangular garden next to the building is to be fenced with 120 feet of fencing. Side against building will not be fenced. What must lengths of other 3 sides be to make sure maximum area?
The ladder is leaning against the building so that distance from ground and to of ladder is one foot less than length of ladder. Determine length of ladder if distance from bottom of ladder to buil
The weather balloon is situated on the bearing of N41E from western station and on the bearing of N20E from eastern station. How far is balloon from western station?
If carpeting price $15.50 a square yard and padding costs $2.25 a square yard, how much to nearest dollar will it cost to carpet room, suppose that there is no waste?
If the object is projected upward from ground level with the initial velocity of 32 ft. per second, then it's height in feet after t seconds.
Determine quadratic function satisfying given conditions. Graph passes through origin, and the vertex is point (8, 8). What do h and k stand for in general equation y = a(x - h)2 + k?
The ball is hit into air. Its height, s, at time t, is provided by equation s(t)=-16t^2+62 t+4. Find maximum height of ball. Round to the nearest foot.
Select appropriate rectangular coordinate axes and determine equation of parabola. Then find height of arch at points 10 ft, 20 ft, and 40 ft from center.
Origin of beam is 35 feet from circle. At what angle of elevation must beam be aimed to make sure that it goes through hole?
Determine average rate of change from 2004 to 2006. Interpret meaning of this measure (include units). Average rate of change from 2006 to 2008 is -959.
Height of ballis provided by quadratic equation h=- 4.9t^2+42t+70 where h is in meters and t is time in seconds since ball was thrown. Determine time it takes ball to hit ground.
Solve {(x-2)^2(x+1) / (x-3)^3 }< 0. Clearly illustrate the work to test suitable intervals clearly pointing out any test points and sign of every factor for every interval.
Explain behavior of r near every value of x that is not in domain of r. Specifically, determine power function of form y= a/(x-h)^p that estimates the behavior.
Compute exact values of all local maximum and minimum values of h(x) and corresponding values of x which give the values if h(x)= |3x^2 - 4 - 2x|.
If intensity is 1,000,000 watts per square meter, find decibel level? If the dripping faucet is 30 decibels, compute sound intensity.
Use the calculator to convert 147°40' to radians. Round the answer to nearest hundredth. Convert to decimal degrees, then multiply by suitable conversion factor to convert to radians.
The rectangle is bounded by x-axis and the semicircle y = √36-x2. Write area A of rectangle as the function of x, and Find domain of function.