If <em>f(x)</em> = 7/(1<em> </em>+ <em>x</em>), then
<em>f</em> (2) = 7/3
<em>f '(x)</em> = -7/(<em>x</em> + 1)² ==> <em>f '</em> (2) = -7/9
<em>f ''(x)</em> = 14/(<em>x</em> + 1)³ ==> <em>f ''</em> (2) = 14/27
<em>f '''(x)</em> = -42/(<em>x</em> + 1)⁴ ==> <em>f '''</em> (2) = -14/27
Then the Taylor series of <em>f(x)</em> about <em>a</em> = 2 is
7/3 + 1/1! (-7/9) (<em>x</em> - 2) + 1/2! (14/27) (<em>x</em> - 2)² + 1/3! (-14/27) (<em>x</em> - 2)³
= 7/3 - 7/9 (<em>x</em> - 2) + 7/27 (<em>x</em> - 2)² - 7/81 (<em>x</em> - 2)³
I believe the correct answer from the choices listed above is option D. The correct transformation of figure QRST to figure QꞌRꞌSꞌTꞌ would be a reflection across point R of pre-image. <span> It is basically a 'flip' of a shape over the line of </span>reflection<span>. Hope this answers the question.</span>
steps are to
Combine like terms
Divide both sides of the equation by the same term
simplify
k = -6
There is no picture of a receipt to see.
but do the cost of food times 0.15 to find out the tip. then do the cost of the food times 1.0875 to find out how much the total would be. then add the tip to the total.
for part B just take the total of everything (previous answer) and divide it by three.
Your answer should be 16! If you would like, you can replace x with 16, and it will turn out to be 240!