Name - Rochester Community Schools
... 17. A landscape supply business charges $30 to deliver mulch. The mulch costs $23 per cubic yard. a. Write an equation that gives the total cost C of having mulch m delivered to a site as a function of the number of cubic yards ordered. ...
... 17. A landscape supply business charges $30 to deliver mulch. The mulch costs $23 per cubic yard. a. Write an equation that gives the total cost C of having mulch m delivered to a site as a function of the number of cubic yards ordered. ...
Precalculus Exercise Solutions
... 9. Find the y-intercepts and x-intercepts of f ( x ) = (3 − e x )(e x + 1). Solution: The y-intercept is f (0) = (3 − e0 )(e0 + 1) = (3 − 1)(1 + 1) = 4 . The x-intercepts are the solutions to (3 − e x )(e x + 1) = 0. The equation 3 − e x = 0 is equivalent to x = ln 3, and e x + 1 is never equal to ...
... 9. Find the y-intercepts and x-intercepts of f ( x ) = (3 − e x )(e x + 1). Solution: The y-intercept is f (0) = (3 − e0 )(e0 + 1) = (3 − 1)(1 + 1) = 4 . The x-intercepts are the solutions to (3 − e x )(e x + 1) = 0. The equation 3 − e x = 0 is equivalent to x = ln 3, and e x + 1 is never equal to ...
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.