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When the number is divided by 9 the remainder is 7 and when it is divided by 5, the remainder is 1. What is A-B=?
How much money has Lose-a-digit budgeted for the year? "The amount of the budget just happens to be the smallest number of cents (other than one cent).
Let I be an open interval containing the point x.(x not), and suppose that the function f:I->R has a continuous third derivative with f'''(x)>0 for all x in I.
Given ( INTEGRAL ln square(x)dx, as x from n to n+1 ) = ( INTEGRAL ln square (n+x)dx, as x from 0 to 1 ) = ( INTEGRAL [[ln(n+x) - ln(x) + ln(n)]square]
Let f(x) and g(x) be nonzero polynomials in R[x] and assume that the leading coefficient of one of them is a unit.
Write a polynomial that represents the total cost of Materilas and Labor for producing x transmissions.
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Determining a solution (an ordered pair) from a system of equations.
Linear Algebra - Vector Spaces.Let P be the set of all polynomials. Show that P, with the usual addition and scalar multiplication of functions
Determine whether the given sets form subspaces of R2. What does the T stand for in these equations?
Prove that there are no integers x, y, and z such that x2 + y2 + z2 = 999. Provide complete and step by step solution.
16 is a non-trivial square root of 1 modulo 51; hence 51 is composite, 7 is a non-trivial square root of 1 modulo 47; hence 47 is composite
We may assume that r and s have no prime factors in common, since any common prime factors may be cancelled.
Step by step solution to this problem, starting off with how does one determine the values of x and y.
If a deck is rectangular and has an area of X2 + 6x + 8 (the 2 is squared) square feet and a width of x + 2 feet. Determine the lengths of the deck.
Express x1, x2, and L(x) in terms of polar coordinates. Describe geometrically the effect of the linear transformation.
Let f be a nonnegative integrable function. Show that the function F defined by F(x) = -8?x f is continuous by using Monotone Convergence Theorem.
Difference between mapping R3 to R2 and the reverse. What's the difference between mapping from R3 into R2 and mapping from R2 into R3?
Is it possible for an extremely large prime to be expressed as a large integer raised to a very large power? Explain.
Industrial Application Images.The two images below shows one of our attempts to come up with the rotation angle required. I
In 1997, there were 3043 county governments in the United States. Of these, 3 were in Delaware. What was the ratio of county governments.
Using the fact that 1+x = 4+(x-3), find the Taylor series about 3 for g. Give explicitly the numbers of terms. When g(x)=square root of 1+x
Modify Euclids proof that there are infinitely many primes. First, prove that any number of the form 4n - 1 has a prime factor which is of the form 4k - 1
Show that b is then the largest square dividing n. (A square-free integer is an integer that is not divisible by any square > 1).
6301 is prime. If x, y, and z are integers that are not divisible by 6301, which of the following is equal to x^6299.y^12600.z^18903 mod 6301 ?