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what will happen to the volume of a cube with a side measurement of 6cm if its length is double? note the cube retain its shape.
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 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-66).What is the t..
find the length and width of a rectangle with the area of 72yd^2
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
How many different meals are possible if the cold appetizer and dessert are served with all meals and the entries are served in the order of selection?
A polynomial f of x is irreducible over Q if and only if (x+alpha) is irreducible over Q for some alpha belong to q Q is a rational.
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..
In calculus, the function f(x) = e^(-x^2) is always given as an example of a function that "you cannot integrate" because one cannot guess an elementary function F such that F'(x) = e^(-x^2). Find a power series for F.
Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.
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