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Varvara68 [4.7K]
3 years ago
6

(a) find the general solution to y^{\,\prime\prime} + 3 y^{\,\prime} = 0. give your answer as y = . . . \ . in your answer, use

c_1 and c_2 to denote arbitrary constants and x the independent variable. enter c_1 as c1 and c_2 as c2.
Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
We want to solve
y'' + 3y' = 0

Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3

The basic solutions are e⁰=1 and e^{-3x}.

Answer:
The general solution is
y(x) = c_{1} + c_{2}e^{-3x}

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Answer:$76

Step-by-step explanation:

JEANS: (5x8)= 40

SHIRTS:(4x6)= 24

SHOES BUY ONE GET ONE FREE: (12x2 - 12)= 12

40 + 24 + 12 = 76

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3 years ago
Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t
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<span> D) Train A by a factor of 1.1
</span>Train A: <span>17/35</span><span> = 34.6</span>

<span>Train B: </span>Rate<span> is the </span>slope<span> of the </span>equation, 31.35

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3 years ago
Read 2 more answers
Evaluate-32 + (2 – 6)(10)<br> The answer is -49
Drupady [299]
Ok thank you I think you answered in the wrong place
8 0
3 years ago
What is the area of the triangle?
ArbitrLikvidat [17]

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

  • find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
  • define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
  • figure the area from the coordinates of the vertices.
  • use Pick's theorem and count the dots.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

4 0
2 years ago
83 Tee (CsT Sequences and Functions
NISA [10]

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x                        y

1                         4

2                        -5

3                        -14

4                        -23

5                         -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

3 0
2 years ago
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