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The last topic that we want to discuss in this section is that of intercepts. Notice that the graph in the above instance crosses the x-axis in two places & the y-axis in one place. All three of these points are called as intercepts. However , we can, and frequently will be, more specific.
We frequently will desire to know if an intercept crosses specifically the x or y-axis.
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop
Each Child Is Unique : Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth
(2a+8b)
un=63-4n
ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2
Conditional probability - Rules of Probability This is the probability associated with combinations of events but given that some prior result has already been achieved with o
Maria has a slice of pizza that is1/6 the pizza. Ben has a slice of pizza that is 1/3 of the pizza . Maria''s slice is bigger .draw pizzas to show how this possible .
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
Sums and Differences of Cubes (and other odd powers)? You can factor a sum or difference of cubes using the formulas a 3 - b 3 = (a - b )(a 2 + ab + b 2 ) and a 3 + b 3 =
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