kkershaw said:Homework Statement
I am solving for t using this equation: d = !(v + 0)t;
My d=.984 and v=1.9
I don't know what to do with the "!"
The factorial function is a mathematical operation that calculates the product of all positive integers ≤ a given number. In equations, it is represented by an exclamation point (!) after a number. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120. The factorial function is often used in probability, combinations, and permutations.
To calculate a factorial in an equation, you simply write the number followed by an exclamation point (!). For example, 4! = 4 x 3 x 2 x 1 = 24. You can also use a calculator or a factorial function in programming languages.
A combination is a way to select a group from a larger set without regard to the order of the items. It is represented by nCr, where n is the total number of items and r is the number of items to be selected. The formula for combinations is n! / (r! * (n-r)!). A permutation, on the other hand, is a way to select a group from a larger set with regard to the order of the items. It is represented by nPr, where n is the total number of items and r is the number of items to be selected. The formula for permutations is n! / (n-r)!.
One example of an equation that uses factorials is the binomial theorem, which is used to expand binomial expressions. The formula is (a + b)^n = ∑ (nCr) a^(n-r) b^r, where n is the power of the binomial, r is the term number, and nCr is the combination function using factorials.
The gamma function is an extension of the factorial function to include non-integer values. It is represented by Γ(n) and is defined as Γ(n) = (n-1)! for all positive integers. The gamma function has many applications in mathematics, including solving integrals and probability distributions.