EE 289 Spring 2012
... Prompt the user to enter an angle θ between π/2 and –π/2, inclusive. If it is between π/2 and –π/2, but not equal to either of those values, calculate tan(θ) and display the result in the command window. If it is equal to π/2 or –π/2, set the result equal to Inf and display the result in the command ...
... Prompt the user to enter an angle θ between π/2 and –π/2, inclusive. If it is between π/2 and –π/2, but not equal to either of those values, calculate tan(θ) and display the result in the command window. If it is equal to π/2 or –π/2, set the result equal to Inf and display the result in the command ...
Functions A function is a rule that assigns to each input value a
... For example, x = 0 corresponds to both y = 3 and y = −3 (we can discover this byplugging x = 0 into the equation and solving for y, or by noticing the two points (0,3) and (0,−3) on the graph). ...
... For example, x = 0 corresponds to both y = 3 and y = −3 (we can discover this byplugging x = 0 into the equation and solving for y, or by noticing the two points (0,3) and (0,−3) on the graph). ...
The Unexpected Appearance of Pi in Diverse Problems
... The argument used in proving the Theorem above can be modified to give a proof of the fact that there are infinitely many prime numbers. The probability that a randomly picked number from the set {1, 2, , N} is 1 goes to zero as N becomes large. So the product ITp (1 - lip) where P varies over all p ...
... The argument used in proving the Theorem above can be modified to give a proof of the fact that there are infinitely many prime numbers. The probability that a randomly picked number from the set {1, 2, , N} is 1 goes to zero as N becomes large. So the product ITp (1 - lip) where P varies over all p ...
Chapter 2 Formulas and Definitions
... Let f (x) = an x n + an −1 x n −1 + ... + a2 x 2 + a1 x + a0 be a polynomial with real coefficients and a0 ≠ 0. 1. The number of positive real zeros of f is either equal to the number of variations in the sign of f (x) or less than that number by an even integer. 2. The number of negative real zeros ...
... Let f (x) = an x n + an −1 x n −1 + ... + a2 x 2 + a1 x + a0 be a polynomial with real coefficients and a0 ≠ 0. 1. The number of positive real zeros of f is either equal to the number of variations in the sign of f (x) or less than that number by an even integer. 2. The number of negative real zeros ...
§5-4 FUNCTIONS
... A function is a rule that assigns a unique real number to each number in a specified set of real numbers. Functions are expressed in the form f(x) = u where u is a variable expression. f(x) does not indicate that f is multiplied times x but rather that the function f should be evaluated at the value ...
... A function is a rule that assigns a unique real number to each number in a specified set of real numbers. Functions are expressed in the form f(x) = u where u is a variable expression. f(x) does not indicate that f is multiplied times x but rather that the function f should be evaluated at the value ...
Default Normal Template
... (a) solving 3x + y = 1 for y yields y = - 3x + 1 . since -3x + 1 is unique real number for each x, then this equation defines y as a function of x . (b) solving y2 – 4x2 = 9 for y yield y ...
... (a) solving 3x + y = 1 for y yields y = - 3x + 1 . since -3x + 1 is unique real number for each x, then this equation defines y as a function of x . (b) solving y2 – 4x2 = 9 for y yield y ...
Revised Version 070506
... responded, “That’s impossible! You can’t take the square root of a negative number!” ...
... responded, “That’s impossible! You can’t take the square root of a negative number!” ...
