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Umnica [9.8K]
3 years ago
14

Derivative of arcsin(cos(2x)) is this chain rule?

Physics
1 answer:
sergejj [24]3 years ago
8 0
Yes, you need to use the chain rule. Also you need to use the derivative of arcsin which is in tables.

Derivative of y = arcsin(x) = 1 / [√(1 - x^2)]

Chain rule: Derivative of archsin(cos(2x)) =

y' = 1 / [√(1 - (cos(2x))^2)] *  derivative (cos(2x) =

y' = 1 / [√(1 - (cos(2x))^2)] * (- sin (2x)) * 2

y' = -2(sin(2x)) / [√( 1 - (cos(2x))^2]



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Winds are deflected to the (right/left) ___ as they move into a low pressure area in the Northern Hemisphere.
SashulF [63]

Winds are deflected to the right as they move into a low pressure area in the Northern Hemisphere.

<u>Explanation:</u>

Winds decide the motion of ocean currents which forms the surface waves in the Earth's atmosphere to maintain the pressure region. The motion of ocean currents is based on Coriolis force which states the direction of motion of an object in a rotating system.

In the case of Earth, the Coriolis force has an effect on the ocean currents which are deflected from maximum to minimum pressure region in a curved path. So the winds formed by the ocean currents will generally get deflected at the right as they move into a low pressure area at the Northern Hemisphere from the high pressure region.

8 0
3 years ago
Why do you think it is important that the U.S. Constitution defines citizenship?
velikii [3]

Answer:

It's important that the U.S. Constitution defines citizenship because it guarantees it to people who are born within the United States.

Explanation:

It"subjects to the jurisdiction thereof".

5 0
3 years ago
A solenoid of length 5.0 cm has a cross sectional area of 1.0 cm2 and has 300 uniformly spaced turns. The solenoid is wrapped in
OleMash [197]

The calculated mutual inductance is 8.544 x 10⁻⁵ H.

Two coils have a mutual inductance of 1 henry when emf of 1 volt is induced in coil 1 and when the current flowing through coil 2 is changing at the rate of one ampere per second.

Length of the solenoid= 5.0 cm

Area of cross-section=1.0 cm²

no of spaced turns=300 turns

turns of insulated wire=180 turns

Mutual inductance (M) = μ₀μr N1N2 A/ L

                                     =(4xπx 10⁻⁷) x (6.3 x 10⁻³) x 300 x 180 x 1/ 5

                                     =79.12 x 10⁻¹⁰ x 54000 / 5

                                     =8.544 x 10⁻⁵  H

hence, the mutual inductance is 8.544 x 10⁻⁵ H.

Learn more about Mutual inductance here-

brainly.com/question/14014588

#SPJ4

                                   

4 0
1 year ago
A car is driving down the highway at a 50 m/s. Suddenly, the driver sees an accident and slams on his breaks, coming to a comple
vlada-n [284]

Given parameters:

Speed of the car = 50m/s

Time  = 10s

Unknown:

Distance traveled before the car stopped = ?

We need to establish speed - time - distance relationship.

Speed is the rate of change of distance with time. It is a scalar quantity .

Mathematically;

            Speed  = \frac{distance}{time}

    Distance  = speed x time

Input the parameters and solve;

    Distance  = 50 x 10  = 500m

The car traveled 500m before it stopped.

4 0
2 years ago
Which characteristic is not a characteristic of plastic? A. Polymers are substances that have relatively large molecules. B. Oil
tia_tia [17]

Answer: option C.

Fabrics such as cotton and silk are synthetic polymers

Explanation:

Fabrics such as cotton and silk are synthetic polymers because cotton and silk are natural polymers meaning they are gotten from natural source. Cotton is gotten from cotton plants and it is composed of cellulose which is a carbohydrates.

Silk also is gotten from animals I.efrom insect fibre or the cocoons of the larvae of the mulberry silkworm which is a polymer.

8 0
2 years ago
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