Reciprocals of given numbers

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• Reciprocal numbers

  49460 Reciprocal Numbers Equalities Find 2 consecutive numbers that the difference of their reciprocals is 1/7 the reciprocal of the smaller number. see the attachment Answer Suppose that the two numbers are n and p Theses are consecutives

• Ellipse area and slopes of functions

  2) if f(x) =x^2 (x>=0) and f(inverse) = x^1/2, show that the slopes of the graphs of f(x) and f(inverse) are reciprocals at (2,4) and (4,2).

• Series Convergence: Two-sided Estimator

  A simple technique to estimate values of the finite sums of reciprocals to natural numbers raised to positive power and to define if corresponding infinite series converge.

• Basic Algebra

  Use a rational expression to represent the sum of the reciprocals of the two numbers.

• Matrices, Reciprocals and Characteristic Vectors

  16073 Matrices, Reciprocals and Characteristic Vectors If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors. Proof.

• Fractions

  Find the reciprocal of 1/3(9-4). Reciprocal of 5/3 = 3/5 This provides examples of finding reciprocals and dividing fractions.

• Eigenvalues : For an n x n matrix A, show that if one or more of the eigenvalues is zero, A has no inverse. Also show that if, A does have an inverse, the eigenvalues of A^-1 are the reciprocals...

  This means that 1/r is an eigenvalue of A^(-1). So the eigenvluaes of A^(-1) are the reciprocals of the eigenvalue of A. Eigenvalue proofs are provided. The solution is detailed and well presented.

• Functions, sequences, and derivatives

  This is a series of problems relating to sequences converging and diverging, differentiability and continuity, derivatives, and reciprocals of functions.

• Basic Algebra

  If the sum of their reciprocals is , find the two numbers. 17. Simplify. 18. Divide. 24. 48. 56. 72. 6. Number problem.