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inverse functions in the last instance from the previous section we looked at the two functions f x 3x - 2 and g x x 3 23 and saw that f o
function composition the next topic that we have to discuss here is that of function composition the composition of fx amp gx is f o g x f g x
determine the domain of each of the following functions f
domain and range of a functio one of the more significant ideas regarding functions is that of the domain and range of a function in simplest
write down the system of differential equations for the population of both predators and prey by using the assumptions abovesolutionwe will start off
the next kind of problem seems as the population problem back in the first order modeling section we looked at several population problems in such
given f x - x2 6 x -11 determine each of the followinga f 2b f -10c f t solutiona f 2 - 22 62
two 1000 liter tanks are containing salt water tank 1 has 800 liters of water initially having 20 grams of salt dissolved in this and tank 2 has 1000
function notation next we have to take a rapid look at function notation function notation is nothing more than way of writing the y in a function
definition an equation is considered as function if for any x in the domain of the equation the domain is the entire xs which can be plugged into the
under this section were going to go back and revisit the concept of modeling only now were going to look at this in light of the fact as we now
in this case we will require deriving a new formula for variation of parameters for systems the derivation now will be much simpler than the when
undetermined coefficientsthe way of undetermined coefficients for systems is pretty much the same to the second order differential equation case the
we now require addressing nonhomogeneous systems in brief both of the methods which we looked at back in the second order differential equations
1 if the coefficient of friction between a box and the bed of a truck is m what is the maximum acceleration with which the truck can climb a hill
a jar contains 54 marbles each of which is blue green or white the probability of selecting a blue marble at random from the jar is 13 and the
in the adjoining figure abcd is a square with sides of length 6 units points p amp q are the mid points of the sides bc amp cd respectively if a
it is the last case that we need to take a look at throughout this section we will look at solutions to the systemx a xhere the eigenvalues of the
a number x is selected from the numbers 123 and then a second number y is randomly selected from the numbers 149 what is the
a number x is chosen at random from the numbers -3 -2 -1 0 1 2 3 what is the probability that x lt
five cards - the ten jack queen king and ace are well shuffled with their face downwards one card is then picked up at randomi what is the
its now time to do solving systems of differential equations weve noticed that solutions to the systemx a xit will be the form ofx h elthere l and
find the probability of having 53 sundays ini a leap
infinite interval - improper integralsin this type of integral one or both of the limits that is upper limit and lower limit of integration are
if 65 of the populations have black eyes 25 have brown eyes and the remaining have blue eyes what is the probability that a person selected at random