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Komok [63]
3 years ago
6

6 ( − 2.1 x − 2 ) + ( 7 x + 5 )

Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer: −5.6x −7

Step-by-step explanation:

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Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How
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tvf-fmvg-bwn

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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
How many rectangular arrays can Pablo make with all 36 tiles so none of the arrays show the same factor
anastassius [24]
He can make 12 or 9 because 9x4=36 and 12x3=36
5 0
3 years ago
A student is painting a room at a constant rate. She is able to paint 2/5 of a room in 1/2 of an hour. How long does it take to
MrMuchimi

Answer:

75 minutes

Step-by-step explanation:

if it takes 30 minutes to paint 2/5 of the room, then it must take 15 minutes to paint 1/5 of the room.

15 * 5 = 75 minutes or 5/4 hours

7 0
3 years ago
Name all similar triangles to triangle CDE.
blondinia [14]

Answer:ceo

Step-by-step explanation:

Ceo

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3 years ago
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