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timofeeve [1]
3 years ago
5

Solve the differential equation using the method of undetermined coefficients

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)

next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
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I NEED HELP PLEASE, THANKS! :) Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
Amiraneli [1.4K]

Answer:  a) zeros: x = {0, 4, -2}

               b) as x → ∞,  y → ∞

                   as x → -∞,  y → ∞

<u>Step-by-step explanation:</u>

I think you mean (a) find the zeros and (b) describe the end behavior

(a) Find the zeros by setting each factor equal to zero and solving for x:

      x (x - 4) (x + 2)⁴ = 0

  • x = 0   Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = 4  Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis

                       Degree  =  6

(b) End behavior is determined by the following two criteria:

  1. Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
  2. Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side

Sign of the leading coefficient is Positive so right side goes UP

                                                                        as x → ∞,  y → ∞

Degree of 6 is Even so Left side is the same direction as right (UP)

                                                                        as x → -∞,  y → ∞

7 0
4 years ago
What best describes the pair of angles below?
user100 [1]

Answer:

i want to see the choices

5 0
3 years ago
If the area of a square living room is 169 square feet . What is the perimeter of the room
stich3 [128]
The one wall would be 13 feet long.
13+13+13+13= 52 feet.
8 0
3 years ago
Read 2 more answers
Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry h
vova2212 [387]

Answer:  D) Number of yards Jerry cuts; 0 ≤ x ≤ 10  

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.



6 0
3 years ago
Read 2 more answers
Describe or show two ways to find the following product: 1/4 x 2/3.
Anon25 [30]
1/4 = 0.25
2/3 = 0.666666667
0.25(0.666666667) = 0.166666667 = \frac{1}{6}
______________________________

\frac{1}{4} ( \frac{2}{3})  =  \frac{2}{12} =  \frac{1}{6} = 0.166666667

7 0
3 years ago
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