Simplify the expression (7 - 2)2 + (6 - 2)3.

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

5 0

Answer:

The answer would be: 22

Step-by-step explanation:

Step 1: (7-2)= 5

(5)*2+(6-2)*3

Step 2: (6-2)= 4

(5)*2+(4)*3

Step 3: (5)*2=10

10+(4)*3

Step 4: (4)*3= 12

10+12= 22

Hope this Helps!!

alexira [117]3 years ago

4 0

Answer:

Step-by-step explanation:

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Help math question derivative!

atroni [7]

Let $f(x)=\sec^{-1}x$ . Then $\sec f(x)=x$ , and differentiating both sides with respect to $x$ gives

$(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1$
$f'(x)=\dfrac1{\sec f(x)\tan f(x)}$

Now, when $x=\sqrt2$ , you get

$(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}$

You have $\sec^{-1}\sqrt2=\dfrac\pi4$ , so $\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2$ and $\tan\left(\sec^{-1}\sqrt2\right)=1$ . So $(\sec^{-1})'(\sqrt2)=\dfrac1{\sqrt2\times1}=\dfrac1{\sqrt2}$