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ioda
2 years ago
10

Derivative of the following cos(x^{2} y)=y^{2}

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0

Answer:

\cos( {x}^{2}y )  =  {y}^{2}  \\  \frac{d( \cos( {x}^{2}y) ) }{dx}  =  \frac{d( {y}^{2}) }{dx}  \\ (2xy +  {x}^{2} \frac{dy}{dx}  ).( -  \sin( {x}^{2} y) ) = 2y \frac{dy}{dx}  \\   \frac{- 2xy \sin( {x}^{2}y )   -  {x}^{2}  \sin( {x}^{2} y) }{2y}  =  \frac{dy}{dx}  \\

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Arlecino [84]

Answer:

The driver took shorter than estimated

It took shorter by 2 hours( 120

minutes)

Step-by-step explanation:

Firstly we want to know if the drive took longer or shorter

By 2 days, the number of hours will be 2 * 24 = 48 hours ( recall 24 hours = 1 day

now , since 60 minutes give one hour, then 48 hours will me 60 * 48 = 2,880 hours

This is less than 3,000 hours

By how much?

Simply subtract the value of minutes in 48 hours from 3,000 = 3000-2880 = 120 minutes ( or two hours)

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3 years ago
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evablogger [386]

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8 0
3 years ago
Read 2 more answers
A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 unit
Wittaler [7]

Given:

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

y=3x

f(x)=3x

Equation of after transformation is

y=3(x+8)

g(x)=3(x+8)

Now,

g(x)=f(x+8)      ...(i)

The translation is defined as

g(x)=f(x+a)+b        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

a=8\text{ and }b=0

Therefore, the graph of y=3x translated left by 8 units. Hence, the student is wrong.

8 0
2 years ago
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