
Core 1
... two points are joined by a line segment of finite length: the distance formula is a straightforward application of Pythagoras, but again the formula looks impressive! Mid-points were dealt with in Key Stage 3 and students often remember the result as the “average” of the two co-ordinates. The form y ...
... two points are joined by a line segment of finite length: the distance formula is a straightforward application of Pythagoras, but again the formula looks impressive! Mid-points were dealt with in Key Stage 3 and students often remember the result as the “average” of the two co-ordinates. The form y ...
Unit 1 Test C Name_____________________
... Kris deposited 279 coins into a coin-counting machine and received $56.70. All of the coins she had saved were dimes and quarters. a. Write a system of linear equations in which one equation expresses the condition about the number of coins that Kris deposited, and the other relates the numbers of d ...
... Kris deposited 279 coins into a coin-counting machine and received $56.70. All of the coins she had saved were dimes and quarters. a. Write a system of linear equations in which one equation expresses the condition about the number of coins that Kris deposited, and the other relates the numbers of d ...
Document
... 1) ________ one equation for x or y. Choose the easiest one! (Should have a coefficient of ______!) 2) _______________ the expression from step 1 into the OTHER equation and solve for the variable that remains. 3) Substitute the answer from step 2 into one of the original equations to find the _____ ...
... 1) ________ one equation for x or y. Choose the easiest one! (Should have a coefficient of ______!) 2) _______________ the expression from step 1 into the OTHER equation and solve for the variable that remains. 3) Substitute the answer from step 2 into one of the original equations to find the _____ ...
Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.