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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."
The augmented matrix from a system of linear equations has the following reduced row-echelon form (a) How many equations are there in the system? (b) How many variab
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Describe Square Roots? When a number is written inside a radical sign (√), the number is called the radicand, and we say that you are "taking the square root of" that number.
If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans: d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
1/cos(x-a)cos(x-b)
If coefficients of the equation ax 2 + bx + c = 0, a ¹ 0 are real and roots of the equation are non-real complex and a + c (A) 4a + c > 2b (B) 4a + c Please give t
1. Find the slope and the y-intercept of the line whose equation is 5x + 6y = 7. 2. Find the equation of the line that is parallel to 2x + 5y = 7 and passes through the mid poin
solve for x: logx9
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