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3 years ago

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

2 answers:

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]3 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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A rectangular rug measures 9 feet by 6 feet. The rug has two nooverlapping yellow circles that each have a diameter of 3 feet. T

adelina 88 [10]

Answer:

54%

Step-by-step explanation:

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3 years ago

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SVETLANKA909090 [29]

Answer:

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3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Find area of a quadrant of a circle whose radius is 3.5 cm.

kati45 [8]

Area of full circle= πr^2

Area of a quadrant= πr^2/4

=(3.5)^2π/4

=12.25π/4

=3.06πcm squared.

4 0

3 years ago

Question 7 not answered which set of numbers with a difference of 2 is a factor pair of 48? answer choices 2 and 4 4 and 6 6 and

ehidna [41]

Answer:

6 and 8

Step-by-step explanation:

All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.

2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48

4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48

6 and 8 . . . . . have a difference of 2, and 6·8 = 48

24 and 2 . . . . do not have a difference of 2

6 0

3 years ago