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Recall v=1/3Πr2h for the right circular cone. Assume radius is known to be 12.5 inches ±0.15 inches, and height is 18.75 inches ±0.24 inches.
There is no bar separating rectangular region from semi-circle. For the Norman window with the perimeter of 900 cm, find dimensions which maximize area, Illustrate all work.
Utilize the addition or subtraction formula to determine solution of equation which are in interval [0,2π). sin(4t)cos(t) = sin(t)cos(4t)
Percentage of the certain radiation which can penetrate x millimeters of lead shielding is provided by I(x)= 100e^-1.5x. How many milli. of shielding are needed so that less than .05% of radiation p
After 1 hour, plane equires to return to airport. To nearest hundredth of the mile, how far is plane from airport and what bearing must plane fly to get back.
You are the sales representative for the automobile manufacturer. You are paid the annual salary plus the bonus of 3 % of the sales over $500, 000. Let two functions.
Utilize formula n=n0ert t=years. Consider 't'=0 be the year 1998. Determine the function which modles populations after t years.
Illustrate that difference quotient of f, quantity f(x+h) minus f(x) divided by h, is equal to 1 divided by quantity square root of (x+h) plus square root of (x).
The scuba diver's body is directed downstream at 75 degrees to bank of the river. If diver swims at 25m/min, and water is moving at 5m/min, determine the diver's velocity?
Determine absolute minimum value of f. If g (x) = -2x + 1, determine points of intersection of graph of g and graph of f.
Provided A(-2,0) and B(2,0), determine the formula not having radicals which states fact that sum of distances from P(x,y) to A and to B, respectively, is 5.
Consider f (x) = 3x(x-2)^2(x+1)^3. Compute zeroes of f. Also express multiplicity of each zero. Express degree of f. Determine leading coefficient?
Profit P (in dollars) made by selling x units of the certain commodity if provided. Determine maximum possible profit, and how many units should sold to make it?
Diagonals of the rectangle are 20 cm long. State measure of acute angle, 0, formed by diagonals as the function of length of rectangle's shorter sides, s.
Write the equation of the sinusoidal function which will model height of the rider on the Ferris wheel. Suppose rider gets on Ferris wheel at ground level.
Write the formula for W, in trillions of dollars as the function of years, t since 2004. Evaluate value of t when gross world product is forecasted to reach 80 trilllion dollars.
The piece of wire is 20 cm long. It is to be cut into two pieces. One piece is to be bent into the square and other into the circle. How must this be done so that resulting sum of areas of two obje
How many opening combinations of three numbers are possible. Suppose no digit is repeated? Suppose digits can be repeated?
From the standard 52- card deck. How many five card hands will have face cards? All face cards but no kings? Let only jacks, queens, and kings to be face cards?
Biot savart law, Explain biot savart law obtain expression for magnetic field at the centre of circular loop/ Explain the construction and working of compound microscope / astronomical telescope obta
The rectangular box with the square bottom and no top is to be constructed so that it can hold the volume of 12,000 in.³.
The rectangle storage container measuring 2 feet by 2 feet by 3 feet is coated with the protective coating of plastic of uniform thickness. Determine volume of plastic V as the function of thickness
The circle of radius 2 is centered at origin and goes through point (-1, v3). Determine the equation for line through origin and point (-1, v3).
Find approximate rate of change of linear function? What rate of change represents in practical terms? Evaluate population of Sri Lanka in 1988. Make the thought process clear.
If x pairs of skis are manufactured daily, state daily cost y = C(x) as the function of x. Express domain and range of function.