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frosja888 [35]
4 years ago
10

A particle moves on x-axis blah blah... its initial position is x(0)=27 and velocity is v(t)=4t^3-30t^2+72t-54 on the time inter

val 0
a) write an expression for the position function (general)
t^4-10t^3+36t^2-54t+C
b) when does the particle change direction?
help
c) find t when particle is moving to the right
help
d) find velocity when acceleration is 0.
ez, don't need help for this one.
Mathematics
1 answer:
inn [45]4 years ago
6 0

b) The particle changes direction when its velocity changes sign. Use the first derivative test to find the critical points:

v(t)=2(t-3)^2(2t-3)=0\implies t=\dfrac32\,\text{ or }t=3

Then for t, we have v(t); for \dfrac32, we have v(t)>0; and for t>3, we have v(t)>0 again. These three facts indicate that the velocity only changes once at t=\dfrac32.

c) Pick "to the right" to be the positive direction. Then you need to find where v(t)>0. We already did that above and found v(t)>0 for t\in\left(\dfrac32,3\right)\cup(3,\infty).

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Step-by-step explanation:

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Unit conversion is a way of converting some common units into another without changing their real value. The option in which more water will be used is by filling a bathtub.

<h3>Units conversion</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given water flows from a shower at a rate of 0.35 cubic feet per minute. Therefore, the water that will be used in the shower,

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Hence, the option in which more water will be used is by filling a bathtub.

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3 years ago
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Anni [7]

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Step-by-step explanation:

Since 3/4 of 100 is 75, we have to divide 450 by three.

450 ÷ 3 = 150

150 x 4 = <em><u>600</u></em>

<em><u /></em>

<em>                                                </em><em><u>Hope this helps :)</u></em>

<em><u>Please mark brainliest ;)</u></em>

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Step-by-step explanation:

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6 0
2 years ago
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