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german
3 years ago
12

Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary consta

nts. You must get all of the answers correct to receive credit.
1. dx2d2y+4y=0
2. dxdy=−2xyx2−2y2
3. dx2d2y+14dxdy+49y=0
4. dxdy=4xy
5. dxdy+21x2y=21x2
Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:1

Step-by-step explanation:

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ASAP NEED HELP!!!! ∩ω∩ Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A san
Nikitich [7]

Answer:

Step-by-step explanation:

A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.

The solution set is the set of integer-valued grid points one or between the lines.

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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:

  2(5) +3(1) ≤ 15   ⇒   13 ≤ 15   True

  (5) +(1) ≥ 3   ⇒   6 ≥ 3   True

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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.

8 0
3 years ago
If the length of an object decreases while its width and height remain unchanged,will its volume increased or decreased?
Rom4ik [11]
The volume will decrease.

If everything else remains the same then it will decrease. If other sides were increased proportionally then it would stay the same. It would increase if other sides were enlarged more than the length was shortened.
7 0
3 years ago
A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t
Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0
3 years ago
(3t^2+1)-t^2. How do you do this equation and what’s the answer. Algebra 1.
Oksana_A [137]

2t^2+1

Subtract t^2 from 3t^2 you get 2t^2

which is 2t^2+1 answer

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3 years ago
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