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Bumek [7]
2 years ago
11

Use the vertical method to multiply (4a3 – 2a + 3a2 + 1) and (3 - 2a + a²).

Mathematics
1 answer:
Igoryamba2 years ago
6 0

Answer:

.a^3-2a+3a^2+1\right)and\left(3-2a+a 2\ri

Step-by-step explanation:

pls brainliest

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
Does anyone know the answers to this questions
steposvetlana [31]

Answer:

6c + 36 =  6(c+6)

(6*c) + (6*6) =   6(c+6)

2(3c+3) =  6c+6

(6+c)+(6+6) =  neither

3c+6+3c =  6c+6

6c+12 =  neither

correct me if I am wrong cuz i haven't done this in 2 years

Step-by-step explanation:

going across the top row then the bottom

8 0
3 years ago
Can somebody help me plz with number 13,14,15,16,17
yuradex [85]
13. There are 3 feet in a yard. You divide 34 by 3 and get 11 with one left     over. So it should be 11 yards and 1 foot.
14.  16 oz. = 1 lb. If you multiply 16 (oz) x 8 (lbs.) you get 128 ounces.
5 0
3 years ago
PLEASE HELP MEEE ITS DUE IN 30 MINUTES!
ArbitrLikvidat [17]

Answer:

(suprisingly easy) 6x3x4=72 in.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help don't forget to put the work thank you
marysya [2.9K]

Answer:

<em>(J) </em>

Step-by-step explanation:

If the scale factor of dilation is greater than 1, the image is an enlargement.

If the scale factor of dilation is between 0 and 1, the image is a reduction.

6 0
3 years ago
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