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The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines.
Suppose that the slope of Line 1 is m1 and the slope of Line 2 is m2. We can relate the slopes of parallel lines & we can relate slopes of perpendicular lines as.
parallel : m1 = m2
perpendicular : m1m2 = -1 or m2= -1/m1
Note down that for perpendicular lines there are two forms of the equation. The second is the morecommon & in this case usually we say that m2 is the negative reciprocal of m1.
Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system
Limits The concept of a limit is fundamental in calculus. Often, we are interested to know the behavior of f(x) as the independent variable x approaches some
log2(x^2)=(log2(x))2
Rules for Partial Derivatives For a function, f = g (x, y) . h (x, y) = g (x, y) + h
what is 10+5..
Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
Two Tailed Tests A two tailed test is generally used in statistical work as tests of significance for illustration, if a complaint lodged by the client is about a product not m
Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior yea
In her last gymnastics competition Keri scored a 5.6 on the floor exercise, 5.85 on the vault, and 5.90 on the balance beam. What was Keri's total score? Keri's three scores re
Explain Angle Theorems ? Certain angles and angle pairs have special characteristics: Vertical angles are opposite angles formed by the intersection of two lines. Vertical ang
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