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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.
The formula A = P (1.09)t is the instance of exponential growth with base 1.09. Compute the equivalent continuous growth formula using base e.
Towers supporting cable are 400 feet apart and 100 feet high. If cables are at the height of 10 feet midway between towers, find height of cable at the point 50 feet from center of bridge?
Determine the velocity, acceleration and speed of the particle with given [position function. Draw the path of particle and sketch velocity and acceleration vector for specified value of t. r(t)= t
Consider f(x) be the linear function, f(x) = ax + b for constants a and b. Illustrate that f(f(x)) is the linear function. Determine the function g(x) such that g(g(x)) = 6x-8.
For equations given below, find functions of x and y you require to plot along horizontal and vertical axes of linear graph paper to create data points fall on the straight line.
Determine Degree of polynomial, number of roots and end behavior model and Number of relative maximum/minimum points. number of absolute max/min points.
Another ship leaves port at 1:30pm and sails in direction N56degreesE at the rate of 18mi/hr. Find bearing, to the nearest degree, from first ship to second?
Use the answer in (c) to determine minimum amount of aluminum required. Express values of r and h which minimize amount of aluminum used.
Candy and Tim share the paper route. It takes Candy 70 min to deliver all papers, and it takes Tim 80 min. How long it takes two when they work together?
The man 5 feet tall is standing near the street lamp which is 12 feet tall. State length L of his shadow as function of the distance d from base of lamp.
Which towns are increasing in size? Which are decreasing? Which town is increasing the fastest? Find annual percent growth rate for that town?
Compute the function which models total area of four pens. Draw graph af the area function. Compute largest possible total area of four pens.
The airplane is flying on the bearing of 285 degrees at 480 mph. The wind is blowing with bearing 265 degrees at 30 mph. Determine component form of velocity of plane.