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3 years ago

What is the derivative of ln(y)sin(x)

1 answer:

7 0

You are going to have to use some implicit differentiation and the product rule here! So, let's just do that:
$\frac{d}{dx}[ln(y)sin(x)]$

Is equal to:
$( \frac{1}{x}* \frac{dy}{dx}*sin(x)) -$
$(\frac{sin(x)}{x} * \frac{dy}{dx}) - (ln(y)cos(x))$
Or:

That's your answer! Hope this helps, if anything doesn't make sense, hmu!

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Divide and answer. 2/3 =

Serggg [28]

The Answer to your problem is:

0.666667

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4 years ago

Which of the following are NOT vector directions?

Alla [95]

Answer:

C. outside 45 degrees

Step-by-step explanation:

C. outside 45 degrees

because it can be any point or direction outside 45 degrees

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3 years ago

Solve for m: n + m - a = d

Musya8 [376]

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4 years ago

Read 2 more answers

Two planes leave an airport at the same time, one flying east, the other flying west. The eastbound plane travels 130 mph slow

Art [367]

Answer:

Speed of the slower plane = 320 mph

Speed of the faster plane = 450 mph

Step-by-step explanation:

Let the speed of the slower plane = x mph

And the speed of the faster plane = y mph

Difference in their speeds = 130 mph

y - x = 130 --------(1)

Formula for the distance traveled = Speed × time

Distance traveled by the faster plane in 5 hours = 5y miles

Distance traveled by the slower plane in 5 hours = 5x miles

Total distance traveled by both the planes in 5 hours = 5(x + y) miles

5(x + y) = 3850

x + y = 770 ---------(2)

By adding equations (1) and (2)

2y = 900

y = 450 mph

From equation (2)

x = 770 - 450

x = 320 mph

6 0

3 years ago

Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

OR in Decimal,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

[Follow PEMDAS rule while simplifying]

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

5 0

2 years ago