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A 6-ft tall man walks away from a 15-ft tall streetlight at 6 ft/sec. How fast is his shadow increasing when he is 8 feet from the light pole?
A 30-foot ladder is leaning up against a roof that is 20 feet above the ground. How far from the building is the foot of the ladder? What is the angle between the ladder and the ground?
A vibration in a beam caues the load to sway up and down 2.8 inches 24 tmes in a minute. when (in s) does the deflection first reach 1.0 inch below equilibrium?
A parallel line passes through the origin. What is the equation of this line? A perpendicular line passes through the point (0,7). What is the equation of this line?
What is the Magnitude of the resulting impedance , Z, (in ohms) and current I , (in amps) when it is hooked up to a 60 Hz 220 v outlet?
What is B(A+C)/A in cartesian notation? Express B, A and ( A+ C) in polar notation and repeat the above question.
If Bob pulls the heavy crate SOUTH with a force of 5.00 N and Grace pulls the heavy crate WEST with a force of 12.0 N, what is the magnitude and direction of the resulting Force?
A propeller blade spinning at 4500 rpm has blades that are 3.00 feet long. How fast (in ft/s) are the tips of the blades moving through the air?
A certain type of optical switch in a fiber-optic system allows a light signal to continue in one of two fibers. How many possible paths could a light signal follow if it passes through 600 such sw
The distance x traveled by a motorboat in t seconds after the engine is cut off is given by x=k-1ln (kv0t+1), where v0 is the velocity of the boat at the time the engine is cut and k is constant.
Write an equation that using the variable t to represent the time it takes to paint the room together that can be used to solve the problem.
Measured on the Richter scale, the magnitude of an earthquake of density I is defined as R = log (I/I0) where I0 is a minimum level for comparison. What is the Richter scale reading for an earthqua
A study of urban density shows that the population density A (in persons/mi2) is related to the distance s (in mi) from the city center by logeA=logep-vs+ns3.
Is it possible for there to be more than one solution for a triangle if you know two angles and one side length? What if you know two side lengths and an angle?
Determine two coterminal angle (one positive and one negative) for each angle. Give your answer in radians. Find the complement and supplement of each angle.
An open box with square base is to have a total of 75ft^2 of tin in it's sides and base. What are the dimensions of the box if it's volume is to the maximized?
In a town called Steelers-Rile, the population is 15,000. The population is increasing at a rate of 3% per year. What is each town's population after 10 years?
Let f(x)=x 2-2 calculate the average rates of changeof f on the intervals [1,3], [1,2], [1,1.5], and [1,1.1]. Find an expression for the average rate of change of f on the interval [1,1 + h], where h
Use the given condition to find an equation in slope-intercept from of each of the nonvertical lines. Determine wheather the pair of lines is paralled, prepeniduclar or neither
Find the standard form of the equation of a circle that satsifies the given condition Center (9,-8); passing through the point (12,-4).
For problems write a function with the given characteristics. A polynomial with rational coefficients having roots 3, 3, and 3-i
Find 3 business plans? What are the common topics covered across all three plans? What are the differences?
Working together, two pumps can drain a certain pool in 4 hours. If it takes the older pump 12 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on it's own?
Sketch the graph of f (x) = x^4 - 4x^3 - x^2 + 12x -2. Identify the extreme values. Determine the equations of the asymptotes.
There was $5,000 more invested in the bonds than the mutual funds. Using the three methods below, find the amount Taylor invested in each type of investment.