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Common Graphs : In this section we introduce common graph of many of the basic functions. They all are given below as a form of example
Example Graph y = - 2/5 x + 3 .
Solution: It is a line in the slope intercept form
y = mx + b
In this the line contain a y intercept of (0,b) and a slope of m. Remember that slope can be thought of as
m =rise /run
Note as well that if the slope is -ve we tend to think of the rise as a fall.
The slope let us to get a second point on the line. Once we contain any point on the line and the slope we move right by run & up/down by rise based on the sign. It will be a second point on the line.
In this we know (0,3) is a point on the line and the slope is -2/5. Thus beginning at (0,3) we'll move 5 to the right (that means 0 → 5 ) and down 2 (that means 3 → 1 ) to get (5,1) as a second point on the line. Once we've got two points on a line all we have to do is plot the two points & connect them along with a line.
Following is the sketch for this line.
In this section we will be searching how to utilize Laplace transforms to solve differential equations. There are various types of transforms out there into the world. Laplace tran
for what k, q.p. kx2-8x+k can be factored into real linear factors. kx2-8x+k
y=9x-5x+2 and y=4+12
find the polar coordinates of each point with the given rectangular coordinates. (-(squareroot(3)),3
Compute the dot product for each of the subsequent equation (a) v → = 5i → - 8j → , w → = i → + 2j → (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →
nature of operation research
Q. What is Stem-and-Leaf Plots? Ans. A stem-and-leaf plot is a table that provides a quick way to arrange a set of data and view its shape, or distribution. Each data val
Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notation) of Concavity and the x-values of all Inflection Points.
long ago, people decided to divide the day into units called hours. they choose 24 as the number of hours in one day. why is 24 a more convenient choice than 23 or 25?
Solve the equation for x and check each solution. 2/(x+3) -3/(4-x) = 2x-2/(x 2 -x-12)
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