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Studentka2010 [4]
3 years ago
13

b. Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer: 48 minutes

Step-by-step explanation:

Han spent 75 minutes practicing the piano.

Tyler spent only 64% as much as that. How long did Tyler practice:

= 75 * 64%

= 48 minutes

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Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
Please help...trying to help my son with Alegebra, but it's been 30 years.
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Wait it says ur in high school so u can't be over 30. that isn't possible. So what's the problem here? not good at math.
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Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between (57.5-6.5,57.5+6.5)=(51,64).
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3 years ago
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Dillion has 4 blue marbles and 12 red marbles

And max has 96 red marbles
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Marco's mom has measured his height in centimeters every few months between the ages of 4.5 and 7.5. The recorded values are bes
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Answer:

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