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Solve the given problems by finding the appropriate derivative.
The speed of signaling by use of a certain communications cable is directly proportional to x2 to x-1 where x is the ratio of the radius of the core of the cable to the thickness of the surrounding insulation. For what value of x is s a maximum?
A rectangular parcel of land has an area of 5000 ft^2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, rounded to the nearest foot?
solve the system of equation by matrix method.use augmented matrices to solve the following 2 x 2 systems of equations.
There are 24 cars in the theater parking lot. there are 3 times as many 4-door as 2-door cars. how many of each kind of car are there?
imagine you are tutoring a classmate in the four algebraic processes. define each process and provide an example of
A building 260 feet tall casts a 70 foot long shadow. Find the angle of elevation of the sun to the nearest degree.
Math 171: Abstract Algebra, Fall 2014- Assignment 2. Prove that H(Z/pZ) is a non-abelian subgroup of GL3(Z/pZ) for any prime p ≥ 2. Does H(R) have a non-identity element of finite order? Prove or disprove
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
Select a counterexample to show that the statement is false. When an odd number is added to the product of two even numbers, the result will be even, 4.5 + 1 = 21. 21 is not even, 4.2 + 3 = 11. 11 in not even, 4.5 + 2 = 22. 22 is even, 3.5 + 4 = 1..
ght rooks are placed in distinct squares of an 8x8 chessboard, with all possible placements being equally likely. What is the probability that all rooks are safe from one another? (that there is no row or column that contains more than 1 rook)
a person who can row 2.6 mph in still water wants to row due east across a river. the river is flowing from the north at a rate of .8 mph. determine the heading of the boat that will be required for it to travel due east.
An anchor weighing 125 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 50 ft.
Suppose f(x) is an exp function of the form f(x)
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