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2 years ago

Find the definding set of the function: y= √(1 - Cos3x ) / (1 + Sin4x )

1 answer:

6 0

$y = \frac{\sqrt{\left( 1 - \cos (x\,\text{Rationalize}(0.0523599))\right) }}{\sqrt{\left( 1+\sin (x\,\text{Rationalize}(0.0698132))\right) }}$

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The point halfway between two end points of a line segment is a

Liula [17]

The point halfway between two end points is called a midpoint

3 0

2 years ago

PLEASE SHOW WORK

CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

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

Taking the derivative of V with respect to time, we get

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

$\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)$

Since r is always equal to h, we can set

$\dfrac{dr}{dt} = \dfrac{dh}{dt}$

so that our expression for dV/dt becomes

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)$

$\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}$

Solving for dh/dt, we get

$\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}$

$\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})$

$\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}$

7 0

2 years ago

Can you help with a please on 46

valentina_108 [34]

3/5
Thats if u devide 9 by 3 and 15 by 5

5 0

2 years ago

Read 2 more answers

Lol it’s me again (help)

timurjin [86]

Answer: y= -4x+13

Step-by-step explanation:

7 0

2 years ago

Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?

djverab [1.8K]

Answer:

Jack is 88, Priscilla is 75.

Step-by-step explanation:

Let J represent Jack's age and let P represent Priscilla's age.

Their age totaled 163, so:

$J+P=163$

And we know that Jack was 13 years older than Priscilla. In other words:

$J=13+P$

Solve for J and P. To do so, substitute the second equation into the first:

$13+P+P=163$

Combine like terms:

$2P+13=163$

Subtract 13 from both sides:

$2P=150$

Divide 2 from both sides:

$P=75$

So, Priscilla is 75 years old right now.

Jack is 13 years older meaning that Jack is 88 years right now.

And we're done!

5 0

2 years ago