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2 answers:
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Irratonal numbers can't be written as a/b where a and b are integers and b≠0
so if it can be written in form a/b then it is not irrational
, it's rational
1/5 is rational
it's irrational because we can't simplify the square root further
6.3=6.3/1=63/100, rationanl
answer is
is irrational
so if it can be written in form a/b then it is not irrational
1/5 is rational
6.3=6.3/1=63/100, rationanl
answer is
(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:
Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that
and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.