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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."
Assumptions The figures known are assumed to be a normal series, that is a series without any violent, unexplained fluctuations in the values. The
Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?
1/a+b+x =1/a+1/b+1/x a+b ≠ 0 Ans: 1/a+b+x =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒ x - ( a + b + x )/ x ( a + b + x ) = + a + b/ ab ⇒
the number is 605176 the underline digit is 0
Marginal cost & cost function The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima
(a+b+c)2=
lim(x->0) xln²(xln(x))
Curvature - Three Dimensional Space In this part we want to briefly discuss the curvature of a smooth curve (remind that for a smooth curve we require → r′ (t) is continuou
Q. How to divide two fractions?If you want to divide two fractions, You invert the second fraction (that means, turn it upside-down) and multiply (change the division to a
The production costs per week for generating x widgets is given by, C ( x ) = 500 + 350 x - 0.09 x 2 , 0 ≤ x ≤ 1000 Answer following questions. (a) What is the c
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