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Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel
Definition 1. We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2. We say that at x = c ,
Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher
Integration We have, so far, seen that differential calculus measures the rate of change of functions. Differentiation is the process of finding the derivative
If the side of a square can be expressed as a2b 3 , what is the area of the square in simplified form? Since the formula for the area of a square is A = s 2 , then by substitut
Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,
Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.
Find interval for which the function f(x)=xe x(1-x) is increasing or decreasing function
Can you explain that a wave through the origin always has a slope of one or not?
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