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Use the definition of the derivative to find the derivative of the following function:
f(x)= x2-3x+2
Find the sum/difference as a product of sine’s or cosines.
A supplier provides parts to a manufacturing company that demands JIT deliveries. At the present time it takes 6 hours to make a round-trip between the supplier's warehouse and the customer, including loading, travel and unloading time. The lot si..
a force of 410 pounds is applied to an object produces an acceleration in the direction of the force of 9feet per second.
A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
Sewing machines use similar devices, called feed dogs, to move the cloth beneath the presser foot. The motion of the feed dogs can be simulated using fuctions of the type abs(sinkt)/ sinkt in place of sines and cosines.
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
To check the Ace company's claim that the total of their 2,300 accounts receivable was $1,081,000 and that the standard deviation of the individual accounts was $ 210 the external auditor took a sample of 25 accounts which totalled $9,900.
A tree on a hillside casts a shadow 206 ft down the hill. If the angle of inclination of the hillside is to the horizontal and the angle of elevation of the sun is , find the height of the tree. Please round your answers to the nearest whole.
Two rainstorms occurred in one week in a certain area. In the first storm 40 ml, of rain fell per hour, and in the second storm, 25 ml of rain fell per hour. Rain lasted for a total of 55 hours, resulting in a total rainfall of 1975 ml . How long ..
Construct a comparative boxplot. Does it suggest that there is a difference between true average extensibility for high-quality fabric specimens and that for poor-quality specimens?
The base of an aquarium with volume V = 495 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
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