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BartSMP [9]
2 years ago
7

211135.711111 write this in cash price (dollars)

Mathematics
1 answer:
aleksklad [387]2 years ago
5 0
211,135.71 merry christmas
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Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h
dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

Is

y/√(1 + y²) = x^5 + C

So

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0
3 years ago
(143(5) + 67)5-----------Anybody???:)
Vikentia [17]
<span>(143(5) + 67)5
Multiply 143 by 5
(715 + 67)5
Add the numbers inside the parenthesis(715 and 67).
(782)5
Multiply 782 by 5.
Final Answer: 3,910</span>
6 0
2 years ago
26. 4x + 6/2 = 3x +15/3
Arturiano [62]

Answer:

x=2

Step-by-step explanation:

Hope it helps you!

4 0
2 years ago
PLZ ANSWER QUIKCLY
Montano1993 [528]

Answer:

-36x+9

Step-by-step explanation:

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac

=-12\cdot \:3x-\left(-12\right)\frac{3}{4}

Simplify.

7 0
2 years ago
Read 2 more answers
A horse is shown in the scale drawing the height of the horse in the drawing is 4.5 inches the scale that maps the drawing to th
sladkih [1.3K]

Answer: 6.75 feet.

Step-by-step explanation: 4.5 x 1.5

5 0
3 years ago
Read 2 more answers
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