Solving Exponential and Logarithmic Equations Exponential Equations (variable in exponent position) 1. Isolate the exponential portion ( base exp onent ): Move all non-exponential factors or terms to the other side of the equation. 2. Take ln or log of each side of the equation. • Make sure to use ln if the base is “e”. Then remember that ln e = 1 . • Make sure to use log if the base is 10. • If the base is neither “e” nor “10”‚ use either ln or log‚ your choice.. 3. Bring the power (exponent)
Premium Polynomial
of -1. Straight Lines: Equation of a straight line is y = mx + c‚ where m = gradient‚ c = y-intercept. The equation of a line‚ if we know one point and the gradient is found using: (y - y1) = m(x - x1) (If given two points‚ find the gradient first‚ and then use the formula.) Two lines meet at the solution to their simultaneous equations. Note: When a line meets a curve there will be 0‚ 1‚ or two solutions. 1. Use substitution to solve the simultaneous equations 2. Rearrange them to form a quadratic equation
Premium Analytic geometry Euclidean geometry Cartesian coordinate system
Coordinate Systems: A point P is described by three coordinates ‚ in cartesian (x‚y‚z)‚ in cylindrical (r‚ ϕ ‚z)‚ and in spherical (r‚θ‚ ϕ )‚ as shown. A point is also defined by the intersection of three orthogonal surfaces‚ as shown. Cartesian Cylindrical Spherical Transformation from Cylinder to Cartesian Coordinates Transformation from Cartesian to Cylindrical: Transformation
Premium Analytic geometry Vector calculus Volume
Activity Lab #4 : Non-Uniform motion Design Aspect 1 * Problem: What is the acceleration of the puck in the air table? Aspect 3 Material List: * Strip of Paper * Puck * Foot pedal * Air table * Procedure: 1) Place a long sheet of white unlined paper‚ and place it on the air table. 2) Turn on the air table machine. 3) Place the puck top of the air table over the long sheet of white unlined paper 4) Using your foot‚ press down on the foot pedal. 5) Release the
Premium Classical mechanics Velocity Mass
Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
Premium Quadratic equation Elementary algebra Real number
The reason why the Drake Equation is not a successful science is because it would be impossible to calculate some of the elements in the equation. The elements would take too long to get an accurate sample to give a scientifically sound explanation. For instance how would you calculate fi (the fraction of intelligent life forms)‚ how do you define intelligent? Is intelligent like you and I‚ is it like a bird or a rat‚ could it be a plant? There is no way to truly determine what counts and doesn’t
Premium Scientific method Extraterrestrial life Theory
Straight Line Equations and Inequalities A: Linear Equations - Straight lines Please remember that when you are drawing graphs you should always label your axes and that y is always shown on the vertical axis. A linear equation between two variables x and y can be represented by y = a + bx where “a” and “b” are any two constants. For example‚ suppose we wish to plot the straight line If x = -2‚ say‚ then y = 3 + 2(-2) = 3 - 4 = -1 If x= -2 -1 -1 1 0 3 1 5 2 7 As you can see‚ we have plotted the
Premium Linear equation Line
Lab Assessment Questions & Answers 1. Define why change control management is relevant to security operations in an organization. Change control is a precision arrangement of managing every change made to a system. This is to ensure that no unneeded changes are done‚ that every change is documented‚ and that no service is disrupted unless absolutely necessary‚ and that all resources efficiently used. 2. What type of access control system uses security labels? A LBA C Label Base Access
Premium Windows Update Microsoft Windows Authentication
Exercise 4 Lab Report (3) Individual: Prepared blood slide (a.) Compare red and white blood cells - what cellular features are present in white cells but not in red blood cells and vice versa? Include a digital image of the blood cells present in the permanent dry. Red Blood cells carry hemoglobin inside of them which helps carry oxygen from the lungs to the rest of the body. Hemoglobin is what gives blood cells the red pigmentation. The amount of blood cells present in the blood give it
Premium Protein Performance Blood
06.05 Applications of Systems of Equations Part 1 1. Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? Tony’s age = t years‚ Belinda’s age = 56 - t years 56 - t = 2t + 8 56 - 8 = 2t + t ==> 3t = 48 ==> t = 16 years THUS Tony = 16 years‚ and Belinda = 40 years 2. Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay
Premium Harshad number