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1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4).
(b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local minimum at (3, -3).
(c) Plot f(x) and g(x) on the same graph being sure to label the inflection point(s) and local extrema.
Evaluate following. ∫ 0 ln (1 + π ) e x cos(1-e x )dx Solution The limits are little unusual in this case, however that will happen sometimes therefore don't get
Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w → (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →
1+1
Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}
Series - The Basics That topic is infinite series. So just define what is an infinite series? Well, let's start with a sequence {a n } ∞ n=1 (note the n=1 is for convenie
A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.
jenna asked 100 of her schoolmates if they have had their first kiss and 43 of them said yes
What is a System of Equations? And its Solution? Here is an example of a system of equations (also called a simultaneous system of equations) x 2 + y = 3
A librarian is returning library books to the shelf. She uses the call numbers to denote while the books belong. She requires placing a book about perennials along with a call numb
Jonestown High School has a soccer field whose dimensions can be expressed as 7y 2 and 3xy. What is the area of this field in terms of x and y? Since the area of the soccer ?e
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