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2 years ago

12

If f(x) =tan(2x) then f'(pi/6)?

2 answers:

LiRa [457]2 years ago

8 0

F ( x ) = tan ( 2 x );
f ` ( x ) = (1 / cos² x )· ( 2 x )` = 2 / cos² x
f` ( π/6 ) = 2 / cos² (π/6) = 2 / (√3/2)² = 2 : 3/4 = 8/3

Stolb23 [73]2 years ago

3 0

You should try an online calculator called tiger algebra...it really good and can answer question like these ones

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HELP ME ANSWER THIS QUESTION QUICKLY BEFORE KATIE REMOVES IT FOR SOME RANDOM REASON.

Marrrta [24]

Answer:

$\vec{BC}=2b - 4a$

$\vec{XY}=a+ b$

$\vec {CY}=a - 2b$

Step-by-step explanation:

By the triangular law of vector addition:

$\vec {CY}=\vec {CA}+ \vec{AY}$

$\vec {CY}=a - 2b$

We have that;

$\frac{YB}{AY} = \frac{3}{1}$

$\implies YB = 3 AY \\ \vec {YB} = 3 \vec {AY}$

$\vec {YB} = 3 a$

From triangle ABC,

$\vec{BC}=\vec{BA}+\vec{AC} \\ \vec{BC}=2b - 4a$

Again from triangle XYB

$\vec{XY}=\vec{YB}+\vec{BX} \\$

$\vec{XY}=\vec{YB}+ \frac{1}{2} \vec{BC}$

$\vec{XY}=3a+ \frac{1}{2} (2b - 4a)$

$\vec{XY}=3a+ b - 2a \\ \vec{XY}=a+ b$

4 0

2 years ago

Please help me with this

Eduardwww [97]

Answer:

$r^{6}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , then

$\frac{r^{9} }{r^{3} }$ = $r^{(9-3)}$ = $r^{6}$

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2 years ago

How to make 27/102 into a simplest form and 16/32 into simplest form?

Reil [10]

My caculator got 9/34

7 0

2 years ago

Read 2 more answers

What is 1.6 powered by 2

ss7ja [257]

Answer:

2.56

Step-by-step explanation:

1.6^2 = 1.6 * 1.6 = 2.56

7 0

2 years ago

You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much

ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: $x+y=660$ ...(1)

Alcohol equation : $0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264$ ...(2)

On solving (1) and (2), we get

$0.35(660-y)+0.95y=264$

$231-0.35y+0.95y=264$

$0.6y=264-231$

$y=\dfrac{33}{0.6}$

$y=55$

Now, substitute y=55 in (1).

$x+55=660$

$x=660-55$

$x=605$

Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.

4 0

2 years ago