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3 years ago

Find the limit as x approaches 0 of x/sin3x

1 answer:

5 0

$\lim_{x \to 0} \frac{x}{sin 3x} = \\ =\frac{0}{0}= \\ = \lim_{x \to 0} \frac{3x}{3sin3x} =$
= 1/3 ( because the limit as x approaches 0 of t/sin t = 1 ).

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Please make it correct..I need to pass this...

Sergio [31]

Simplify them all down to 5 then solve

6 0

2 years ago

Read 2 more answers

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago

3.) You just deposited $3,000 into a savings account with 3% annual interest. How much will you have in total after 2 years?

Korvikt [17]

Answer:2,820

Step-by-step explanation:

multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000

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3 years ago

What’s z over 5 to the 2 power

Snowcat [4.5K]

Just square the top and bottom. z^2 over 25

7 0

3 years ago

Can someone help me

FromTheMoon [43]

BC is 8.7
CA is 20
hope this helps

6 0

3 years ago