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Nikitich [7]
3 years ago
12

We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However,

acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

An alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx} is a_x=v_x \frac{dv_x}{dx}

Step-by-step explanation:

We know that :

a_x=\frac{dv_x}{dt}

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx}

So, We will use chain rule over here :

a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}  [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}

Hence an alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx} is a_x=v_x \frac{dv_x}{dx}

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Keith_Richards [23]

Answer:

x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.

Step-by-step explanation:

f(x) = −x² + 50x − 264

−x² + 50x − 264 = 0

-x² + 44x + 6x - 264 = 0

-x(x - 44) + 6(x - 44) = 0

(x - 44)(-x + 6) = 0

x = 6, 44

4 0
3 years ago
What must be added to x² + 6x²-x+ 5 to make it exact divisible by (x + 3)​
maxonik [38]

Let f(x) = x² + 6x²-x+ 5 then ,

number to be added be P

then,

f(x) = x² + 6x²-x+ 5 +P

According to the qn,

(x+3) is exactly divisible by zero then,

R=0

comparing .. we get a= -3

now by remainder theorm

R=f(a)

0=f(-3)

0=(-3)² + 6(-3)²-(-3)+ 5 + P

0= 9 + 54 + 3 + 5 + P

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therefore, -71 should be added.

Hope you understand

4 0
2 years ago
Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
zvonat [6]
8x + By + 92 = 0

(-4; 12) ⇒ x = -4; y = 12

subtitute

8 · (-4) + 12B + 92 = 0
-32 + 12B + 92 = 0
12B + 60 = 0    |subtract 60 from both sides
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B = -5
8 0
3 years ago
The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

x+y = 36

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3y = 66

y = 22

=> x = 36 - 22 = 14

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3 years ago
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Sergio039 [100]

Answer:

The answer is c. {0,2).

Step-by-step explanation:

8 0
3 years ago
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