Mathematics: Multiple choice: a point moves on the x-axis in such a way that its velocity at time t (t 0) is given by v=lnt/t. at which value of t does v attain its maximum? (a) 1 (b) e^(1/2) (c) e (d) e^(3/2) (e) there is no maximum value for v.

Multiple choice: a point moves on the x-axis in

Ответ:

artursino

31.12.2021

Dv/dt = $\frac{t* \frac{1}{t}-1*lnt }{ t^{2} } = \\ = \frac{1-+lnt}{t^{2} }$
Velocity attains its maximum at dv/dt = 0, or:
1 - ln t = 0
ln t = 1
$log_{e}t= 1$
t = e
C)

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Ответ:

alexsan5537

06.07.2021

Mathematics

You must have wrote the equation incorrectly

Step-by-step explanation:

You wanna make f(x) equal to 6

So its 6 = 2x + 57

Subtract 57 from both sides to get -51 = 2x

Divide both sides by 2 to get -25.5

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Multiple choice:
a point moves on the x-axis in such a way that its velocity at time t (t> 0) is given by v=lnt/t. at which value of t does v attain its maximum?
(a) 1
(b) e^(1/2)
(c) e
(d) e^(3/2)
(e) there is no maximum value for v.

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Multiple choice: a point moves on the x-axis in such a way that its velocity at time t (t> 0) is given by v=lnt/t. at which value of t does v attain its maximum? (a) 1 (b) e^(1/2) (c) e (d) e^(3/2) (e) there is no maximum value for v.

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Multiple choice:
a point moves on the x-axis in such a way that its velocity at time t (t> 0) is given by v=lnt/t. at which value of t does v attain its maximum?
(a) 1
(b) e^(1/2)
(c) e
(d) e^(3/2)
(e) there is no maximum value for v.