(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.
Answer:
36 degrees
Step-by-step explanation:
Ok so wouldnt you have to subtract 54 minus 18? and if so then
Answer:
4,2,-3,2
Step-by-step explanation:
Domain is all the X values
The first thing you should do in this case is to know that you can rewrite the expression.
We have then:
root (50)
Rewriting:
root (2 * 25)
5 * root (2)
Which belongs to the set of irrational numbers.
Answer:
Irrational numbers.
A geometric series like
Converges if and only if 
. If this is the case, the sum equals
So, in your case, you have convergence if and only if
And if this is the case, the sum equals
