MAT - Paper 2018 - Q1G
Flashcards
2021-10-27
If you’re worried about how a $\pm$ has cropped up, how can you sometimes safely only consider it as negative or as positive?
By looking about what is true in a sketch.
\[x^5 = 2\]
What is $x$ using fractional exponents?
\[x = 2^{\frac{1}{5}}\]
\[x^{-4} = 6\]
What is $x$ using fractional exponents?
\[x = 6^{-\frac{1}{4}}\]
\[x^{\frac{3}{2}} = 4\]
What is $x$ using fractional exponents?
\[x = 4^{\frac{2}{3}}\]
\[x^{\frac{a}{b}} = 7\]
What is $x$ using fractional exponents?
\[x = 7^{\frac{b}{a}}\]
\[x^{\frac{3}{2}} = \frac{1}{4}\]
Solve for $x$?
\[x = \frac{1}{4^{\frac{2}{3}}}\]
For $f(x)$ and $g(x)$ to touch, what two things must be true?
\[f'(x) = g'(x)\]
\[f(x) = g(x)\]