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If the domain of a function f is the set of real numbers and the domain function g is also the set of real number under what circumstances do ( f +g ) (x) and ( f / g) (x) have different domains?
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
What is the next value?
the following data represents the number of points scored by players on a high school basketball team this
Some experts estimate that the cost of education in the US increases by 6% p.a. An Ivy League college currently costs $24,502 for one year's study today. Using compound interest rate of 6% p.a, calculate the total cost of one year's tuition 6 years a..
Find the stationary points and linear approximating systems at each station
Round your final answer to nearest hundredth. Find the height of the tree if it casts a shadow of 35 feet and the angle of elevation to the top of the tree is 40°.
If the number of complex lies in the third quadrant, then where do the conjugation is located in?
Use the circle graph to solve the problem. A survey of the 8263 vehicles on the campus of State University yielded the following circle graph.
what are the three consecutive even numbers that have a product of 480? I know it's 6, 8, 10. But how can you solve it using factoring. x(x+2)(x+4) = 480 simplifies down to x^3 + 6x^2 + 8x - 480 = 0. Then what do you do?
Prove the following statement using contraposition: If n, is a positive integer such that n(mod 3) = 2, then n is not a perfect square and find a solution (if it exists) to the linear diophantine equation 234x + 65y = 325.
the equation f x 198,900 635,600 can be used to model the number of utility trucks under 6000 pounds that are sold each year in the u.s. with x 0 representing the year 1992.
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