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Give the introduction about Graphing?
Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture:
This picture is what's called a Cartesian graph. It has two intersecting lines (called axes) which are usually labeled "x" and "y". Every point on the plane can be described by a pair of numbers: its x-coordinate and its y-coordinate. The x-coordinate of the point shown is 5, because the point is 5 units along the x-axis. The y-coordinate is 3. Put these together, and we can label the point "(5,3)." (Note that the x-coordinate always comes first.)
Because the picture showed the point (5,3), we call it a graph of the point (5,3). Usually, we don't merely graph a single point. Here's a graph of the set of points Here's a graph of the set of all points with y-coordinate 2: This set of points can be written (using standard set notation) as {(x,y): y =2}.However, instead of the cumbersome phrase "the graph of the set of points {(x,y): y =2}", we usually just say "the graph of the equation y = 2."
Average Function Value The first application of integrals which we'll see is the average value of a function. The given fact tells us how to calculate this. Average Functi
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
Write the next two terms √12, √27, √48, √75................... Ans: next two terms √108 , √147 AP is 2 √3 , 3 √3 , 4 √3 , 5 √3 , 6 √3 , 7 √3 ......
The next thing that we must acknowledge is that all of the properties for exponents . This includes the more general rational exponent that we haven't looked at yet. Now the pr
What is Substitution Technique of Linear Equations?
Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)
Consider the following interpolation problem: Find a quadratic polynomial p(x) such that p(x0) = y0 p’(x1) = y’1 , p(x2) = y2 where x0 is different from x2 and y0, y’1 , y2 a
From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
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Can you please explain what Quadratic functions are?
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