Exercise 1-2 - MyCourses
... proper physical models to describe the terms in the balances. Also think which of the balance equation term (IN, OUT or GENERATION) each rate equation describes. ...
... proper physical models to describe the terms in the balances. Also think which of the balance equation term (IN, OUT or GENERATION) each rate equation describes. ...
Radical Equations
... RADICAL EQUATION: AN EQUATION IN WHICH THE VARIABLE OCCURS IN A SQUARE ROOT, CUBE ROOT OR ANY HIGHER ROOT SOLVING RADICAL EQUATIONS CONTAINING NTH ROOTS: 1. If necessary, arrange terms so that one radical (the most complicated) is isolated on one side of the equation 2. Raise both sides of the equa ...
... RADICAL EQUATION: AN EQUATION IN WHICH THE VARIABLE OCCURS IN A SQUARE ROOT, CUBE ROOT OR ANY HIGHER ROOT SOLVING RADICAL EQUATIONS CONTAINING NTH ROOTS: 1. If necessary, arrange terms so that one radical (the most complicated) is isolated on one side of the equation 2. Raise both sides of the equa ...
Practice Explanations: Solutions 1. Suppose y1 and y2 are both
... 1. Suppose y1 and y2 are both solutions to the same homogenous, second order, linear differential equation. Explain why, as long as y1 and y2 are not multiples of each other, that y = c1 y1 +c2 y2 can satisfy any initial condition by choosing c1 and c2 correctly. Answer: Let’s look at the differenti ...
... 1. Suppose y1 and y2 are both solutions to the same homogenous, second order, linear differential equation. Explain why, as long as y1 and y2 are not multiples of each other, that y = c1 y1 +c2 y2 can satisfy any initial condition by choosing c1 and c2 correctly. Answer: Let’s look at the differenti ...
Chapter 2 Test
... 25. A rectangular kitchen floor measures 12ft by 15ft. A stove on the floor has a rectangular bas measuring 3ft by 4ft, a refrigerator covers a rectangular area of the floor measuring 3ft by 4ft. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the ...
... 25. A rectangular kitchen floor measures 12ft by 15ft. A stove on the floor has a rectangular bas measuring 3ft by 4ft, a refrigerator covers a rectangular area of the floor measuring 3ft by 4ft. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the ...
Partial differential equations Objective: Partial
... Partial differential equations Objective: Partial differential equation arise quite frequently in various physical and engineering problems when the function involved depend on two or more independent variables. Most of the problems in fluid and solid mechanics, heat transfer, vibrations, electromag ...
... Partial differential equations Objective: Partial differential equation arise quite frequently in various physical and engineering problems when the function involved depend on two or more independent variables. Most of the problems in fluid and solid mechanics, heat transfer, vibrations, electromag ...
Algebra 10.3 Notes
... Remember that a Solution to any equation is the number or numbers that make the equation true. So the Solution for a Quadratic Equation value or values of x that will make the quadratic function equal 0. Determine whether the given value is a solution of the equation. Ex. x2 + 3x – 10= 0; 5 ...
... Remember that a Solution to any equation is the number or numbers that make the equation true. So the Solution for a Quadratic Equation value or values of x that will make the quadratic function equal 0. Determine whether the given value is a solution of the equation. Ex. x2 + 3x – 10= 0; 5 ...
Homogeneous Equations
... Now we will see that our approach to solving separable equations can be applied to certain problems that, in their original form, are not necessarily separable. Suppose a first-order ODE can be written in the form dy = f (y/x). dx Generally, such an equation is not separable with respect to the vari ...
... Now we will see that our approach to solving separable equations can be applied to certain problems that, in their original form, are not necessarily separable. Suppose a first-order ODE can be written in the form dy = f (y/x). dx Generally, such an equation is not separable with respect to the vari ...
Trigonometric Equations
... Section 5.5: Solving Trig. Equations RECALL: A trig. identity is an equation which is ALWAYS true: sin2 θ + cos2 θ = 1 Now you’ll be solving conditional equations which are only true for certain values. ex) Use the unit circle to determine what radian angle measures between 0 to 2 π satisfy this equ ...
... Section 5.5: Solving Trig. Equations RECALL: A trig. identity is an equation which is ALWAYS true: sin2 θ + cos2 θ = 1 Now you’ll be solving conditional equations which are only true for certain values. ex) Use the unit circle to determine what radian angle measures between 0 to 2 π satisfy this equ ...
KS4 Energy Transfers 1
... Water, air, granite– which is the worst heat conductor? Why is a duvet a good insulator? What is the main method of heat transfer within a liquid? How does heat energy reach Jupiter from the Sun? What speed do infra-red waves travel at? A black and a silver car are parked outside on a sunny day for ...
... Water, air, granite– which is the worst heat conductor? Why is a duvet a good insulator? What is the main method of heat transfer within a liquid? How does heat energy reach Jupiter from the Sun? What speed do infra-red waves travel at? A black and a silver car are parked outside on a sunny day for ...
Solving Systems of Equations: More on Substitution
... Solving Systems of Equations: More on Substitution ...
... Solving Systems of Equations: More on Substitution ...
HOMEWORK 5 DUE: Fri., Apr. 30 NAME: DIRECTIONS: • STAPLE
... Since W (et , e−t , e2t , e−2t ) 6= 0 these form a fundamental set of solutions. Problem 4: (2 points) Find the general solution to the differential equation y (5) + 5y (4) − 2y (3) − 10y (2) + y (1) + 5y = 0. The characteristic equation is given by m5 + 5m4 − 2m3 − 10m2 + m + 5 = 0. The possible ra ...
... Since W (et , e−t , e2t , e−2t ) 6= 0 these form a fundamental set of solutions. Problem 4: (2 points) Find the general solution to the differential equation y (5) + 5y (4) − 2y (3) − 10y (2) + y (1) + 5y = 0. The characteristic equation is given by m5 + 5m4 − 2m3 − 10m2 + m + 5 = 0. The possible ra ...
Heat equation
The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.