The most basic example of the binomial theorm is the formula for the square of x + y: the binomial coefficients 1, 2, 1, appearing in this expansion correspond to the second row of Pascal's triangle
Answer:
It increased by 25%
Step-by-step explanation:
Explanation is in the file
tinyurl.com/wtjfavyw
5 goes into 500 a total of 100 times.
5 is 1/100 of 500.
As a percentage, this is expressed as 1%.
Hope this helps!
Start with #47. To find the critical values, you must differentiate this function. x times (4-x)^3 is a product, so use the product rule. The derivative comes out to f '(x) = x*3*(4-x)^2*(-1) + (4-x)^3*1 = (4-x)^2 [-3x + 4-x]
Factoring this, f '(x) = (4-x)^2 [-3x+4-x]
Set this derivative equal to zero (0) and solve for the "critical values," which are the roots of f '(x) = (4-x)^2 [-3x+4-x]. (4-x)^2=0 produces the "cv" x=4.
[-3x+ (4-x)] = 0 produces the "cv" x=1. Thus, the "cv" are {4,1}.
Evaluate the given function at x: {4,1}. For example, if x=1, f(1)=(1)(4-1)^3, or 2^3, or 8. Thus, one of the extreme values is (1,8).
