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mina [271]
3 years ago
11

Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Mathematics
1 answer:
Elden [556K]3 years ago
3 0
Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.
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A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
4 years ago
I don't get this can somebody help me
Alex17521 [72]
2x° + 1 + x° - 6 + 59°= 360°

3x° + 54° = 360°

3x = 306°

x = 102°

2(102°) + 1°= 204° + 1° = 205°

102° - 6°= 96°

205° + 96° + 59°= 360°
7 0
3 years ago
Please help me solve this 5^2x=7^x+1
denis23 [38]

Answer:

x=\frac{ln7}{2ln5-ln7}

Step-by-step explanation:

5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7

⇔ x = ln7/(2ln5-ln7)

7 0
3 years ago
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The best whole number problem to estimate 53/4-21/8=
Nikitich [7]
Doing the equation, You get the answer 85/8 or 85 over 8, converting that into a decimal equals 10.625, now since there's a 6 after the decimal and you want to estimate your answer is 11 . I hoped I explained this well ^-^
4 0
3 years ago
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth
garik1379 [7]

Answer:

7.94

Step-by-step explanation:

a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2}  = 63\\a = \sqrt{63} \\a= 7.93725

3 0
3 years ago
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