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find the largest possible positive integer that will divide 398 436 and 542 leaving remainder 7 11 15 respectivelyans 17ans the required number is
prove that one of every three consecutive integers is divisible by 3ansnn1n2 be three consecutive positive integerswe know that n is of the form 3q
express the gcd of 48 and 18 as a linear combination ans not uniqueabqr where o le r lt
number systems numbers are intellectual witnesses that belong only to mankindexampleif the h c f of 657 and 963 is
verify liouville3939393939393939s formula for y quot-yquot - y3939393939393939 y 0 in 0 1
next we have to talk about evaluating functions evaluating a function is in fact nothing more than asking what its value is for particular values
now we need to move onto something called function notation function notation will be utilized heavily throughout most of remaining section and
example find out which of the following equations functions are amp which are not
a function is an equation for which any x which can be plugged into the equation will yield accurately one y out of the equationthere it is ie the
the following relation is not a function 610 -7 3 0 4 6 -4solutiondont
a function is a relation for which each of the value from the set the first components of the ordered pairs is related with exactly one value from
definition of a functionnow we need to move into the second topic of this chapter before we do that however we must look a quick definition taken
example write down the equation of a circle alongwith radius 8 amp center -4 7 solutionokay in this case we have r 8 h -4 and k 7
perpendicular to the line given by 10 y 3x -2for this part we desire the line to be perpendicular to 10 y 3x -2 amp so we know we can determine the
parallel to the line specified by 10 y 3x -2in this case the new line is to be parallel to the line given by 10 y 3x -2 and so it have to have the
example determine the equation of the line which passes through the point 8 2 and is parallel to the line given by 10 y 3x -2solutionin both of
determine if the line that passes through the points -2 -10 and 6 -1 is parallel perpendicular or neither to the line specified by 7 y - 9 x 15
slope-intercept formthe ultimate special form of the equation of the line is possibly the one that most people are familiar with it is the
example write down the equation of the line which passes through the two points -2 4 and 3 -5solutionat first glance it might not appear which well
the next special form of the line which we have to look at is the point-slope form of the line this form is extremely useful for writing the equation
first larger the number ignoring any minus signs the steeper the line thus we can use the slope to tell us something regarding just how steep a
standard form of the linelets begin this section off along a quick mathematical definition of a line any equation that can be written in the
x-intercept if an intercept crosses the x-axis we will call it as x-intercept y-interceptsimilar if an intercept crosses the y-axis we will
the last topic that we want to discuss in this section is that of intercepts notice that the graph in the above instance crosses the x-axis in
problem 1work through talpac 10 basics refer to attached handout answer the set of questions at the end of tutorial moduleproblem 2referring to both