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3 years ago

Defferentiate y=Insin(3x)

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Use the chain rule:

$y=\ln(\sin(3x))$

$y'=(\ln(\sin(3x)))'$

$y'=\dfrac{(\sin(3x))'}{\sin(3x)}$

$y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}$

$y'=\dfrac{3\cos(3x)}{\sin(3x)}$

$y'=3\cot(3x)$

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Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

Solution:

The distance is given by formula:

$distance = speed \times time$

Ton travels at 8 feet per second

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

Bob travels at 10 feet per second

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3>Method 2:</h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

3 years ago

HURRYYYYY What is the value of the expression 4’4?

WINSTONCH [101]

Answer:

256

Step-by-step explanation:

Raise 4 to the power of 4

Basically, multiply 4 by itself four times. :)

4 0

3 years ago

The question is in the link below.

Blababa [14]

Answer:

I cant answer it because you cant copy it it doesnt allow me

4 0

3 years ago

A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou

Zepler [3.9K]

As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh ⇒ Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

#SPJ1

4 0

1 year ago

What is the solution of -2x = -16

Vilka [71]

Divide both sides by -2

two negatives make a positive and that's true so x = 16/2 so divide it

x = 8 because 2 x 8 = 16 and 2/16 = 8 so true.

Answer: x = 8.

7 0

3 years ago