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maria [59]
3 years ago
7

When dy/dx = (x -6)1/2, what does y equal?

Mathematics
1 answer:
natta225 [31]3 years ago
8 0
Considering that the given derivative is:

 dy
----- = (x - 6)^ (1/2) ,
 dx

y is the function whose derivative is (x - 6)^ (1/2).

Given that the derivative of (x - 6) ^ (3/2) is (3/2)* (x - 6)^ (1/2), you have that the function searched is y = (2/3) ( x - 6) ^ (3/2) plus a constant.

You can prove that dy / dx is (2/3)*(3/2) (x - 6) ^ (3/2) = (x - 6)^ (1/2).

Answer: y = (2/3) (x - 6)^(3/2).+ constant
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WILL GIVE BRAINLIEST!
Zielflug [23.3K]

Answer:

Collisions

Follow Newton’s Third Law which tells us that

the force exerted by body A on body B in a

collision is equal and opposite to the force

exerted on body B by body A.

During a collision, external forces are ignored.

The time frame of the collision is very short.

The forces are impulsive forces (high force, short

duration).

Collision Types

Elastic: P is conserved, K is conserved

Inelastic: P is conserved, K is NOT conserved

Perfectly Inelastic means the bodies stick together

Problem: Collisions (1993)

10. Which of the following is true when an object of

mass m moving on a horizontal frictionless surface

hits and sticks to an object of mass M > m, which is

initially at rest on the surface?

(A) The collision is elastic.

(B) All of the initial kinetic energy of the less-massive

object is lost.

(C) The momentum of the objects that are stuck together

has a smaller magnitude than the initial momentum of

the less-massive object.

(D) The speed of the objects that are stuck together

will be less than the initial speed of the less-massive

object.

(E) The direction of motion of the objects that are stuck

together depends on whether the hit is a head-on

collision.

Explain your reasoning:

Ans. Again, by conservation of momentum, if the

mass increases, the velocity must decrease. pin = pout

Problem: Collisions (1993)

11. Two objects having the same mass travel

toward each other on a flat surface, each with a

speed of 10 meter per second relative to the

surface. The objects collide head-on and are

reported to rebound after the collision, each

with a speed of 20 meters per second relative

to the surface. Which of the following

assessments of this report is most accurate?

(A) Momentum was not conserved, therefore the report is false.

(B) If potential energy was released to the objects

during the collision, the report could be true.

(C) If the objects had different masses, the report could be true.

(D) If the surface was inclined, the report could be true.

(E) If there was no friction between the objects and the

surface, the report could be true.

Explain your reasoning:

Ans. Momentum is conserved provided that an

external force not be applied. If the objects have

potential energy stored, this could provide the force.

PLEASE MARK AS BRAINLIEST!!!!!!

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Answer:

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4 0
3 years ago
Read 2 more answers
Please Help!
rosijanka [135]

Answer:

x^2 - 12x..............................

6 0
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Pls halp<br>list four nonzero multiples of<br>2<br>6<br>9<br>12<br>25<br>90​
Simora [160]

Multiples of 2: 2,4,6,8

Multiples of 6:6,12,18,24

Multiples of 12:12,24,36,48

Multiples of 25:25,50,75,100

Further explanation:

A multiple is a number that is obtained by multiplying an integer with that number.

We have to find multiples of given numbers:

So,

<u>1. Multiples of 2</u>

Four\ non-zero\ Multiples\ of\ 2: 2,4,6,8

<u>2. Multiples of 6</u>

Four\ non-zero\ Multiples\ of\ 6: 6,12,18,24

<u>3. Multiples of 12</u>

Four\ non-zero\ Multiples\ of\ 12: 12,24,36,48

<u>4. Multiples of 25</u>

Four\ non-zero\ Multiples\ of\ 25: 25,50,75,100

Keywords: Multiples, Non-zero multiples

Learn more about multiples at:

  • brainly.com/question/513185
  • brainly.com/question/5191341

#LearnwithBrainly

5 0
3 years ago
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