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3 years ago

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Traveling downstream a certain boat went 13 mph. Traveling upstream it only went 1 mph. Find the speed of the boat in still wate

r and the speed of the current.

1 answer:

egoroff_w [7]3 years ago

6 0

Answer: 12 for both

Step-by-step explanation: 13 - 1 12 thats the current well if the current is 12 then sit still and your going 12 mph

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Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

<u>Step(i)</u>:-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

<u><em>Step(ii):</em></u>-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

<u><em>Step(iii):</em></u>-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

<u><em>Final answer</em></u>:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The area of a triangle is 45cm2 and the height is 9 cm. What is the length of the base?

Bess [88]

Formula
A=bh divides by 2

SUBSTITUTE
45=b9 divided by 2

MULTIPLY/DIVIDE

You can either divide by 2 or multiply by 1/2 (gets the same answer)
9 x 1/2 = 4.5

DIVIDE
45 divides by 4.5 = 10

CHECK

A= 10 x 9 divided by 2 or multiply by 1/2 (same answer) = 45

Thus, the answer is 10.
I hope this helped you understand the process!

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3 years ago