File name: Simple Mathematical Formulas Pdf
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👉Simple Mathematical Formulas Pdf
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Part 1 presents mathematical formulas together with other material, such as definitions, theorems, graphs, diagrams, etc., essential for proper understanding and application of the formulas. This handbook supplies a collection of mathematical formulas and tables which will be valuable to students and research workers in the fields of mathematics, physics, engineering, and other . A complex nuber is written as a + bi where a and b are real numbers an i, called the imaginary unit, has the property that i2= The complex numbers a+bi and a-bi are called complex . Different Formulas 1. Distance: d= p (x 2 − 1)2+(y 2 1 2. Midpoint: x 1 +x 2 2, y 1 +y 2 2 3. Circle: (x−h)2 +(y −k)2 = r2 4. Difference Quotient: f(x+h)−f(x) h Tests for Symmetry 1. x-axis: change (x,y) to (x,−y) 2. y-axis: change (x,y) to (−x,y) 3. Origin: change (x,y) to (−x,−y) 4. Even function: f(−x) = f(x) 5. Odd. y = mx + b or f () x = mx + b Graph is a line with point (0,b) and slope m. a > 0 or down if a < 0 and has a vertex at (h, k). Graph is a circle with radius (h, k). Graph is an ellipse with center (h, k) with vertices a units right/left from the center and vertices b units up/down from the center. Quadratic Formula To solve ax2 + bx+ c= 0, a6= 0, use: x= 2b p b 4ac 2a. The Discriminant The discriminant is the part of the quadratic equation under the radical, b2 4ac. We use the discriminant to determine the number of real solutions of ax2 + bx+ c= 0 as such: 1. If b2 4ac>0, there are two real solutions. 2. If b2 4ac= 0, there is one.