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aivan3 [116]
3 years ago
6

Help !!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

xhgfkjfghfhj GIST is the every year and school going to have you a very great night and I will be a hai jismein to the wet weather is very much appreciated the very least I will limited access to the wet please find attached the teeth of the very first to know what I will take a look t e

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Solve what is 1/2 x 15
Andreas93 [3]

Answer:

7.5

Step-by-step explanation:

it's basically just 15 divided by 2

8 0
3 years ago
Solve y" + y = tet, y(0) = 0, y'(0) = 0 using Laplace transforms.
irina1246 [14]

Answer:

The solution of the diferential equation is:

y(t)=\frac{1}{2}cos(t)- \frac{1}{2}e^{t}+\frac{t}{2} e^{t}

Step-by-step explanation:

Given y" + y = te^{t}; y(0) = 0 ; y'(0) = 0

We need to use the Laplace transform to solve it.

ℒ[y" + y]=ℒ[te^{t}]

ℒ[y"]+ℒ[y]=ℒ[te^{t}]

By using the Table of Laplace Transform we get:

ℒ[y"]=s²·ℒ[y]+s·y(0)-y'(0)=s²·Y(s)

ℒ[y]=Y(s)

ℒ[te^{t}]=\frac{1}{(s-1)^{2}}

So, the transformation is equal to:

s²·Y(s)+Y(s)=\frac{1}{(s-1)^{2}}

(s²+1)·Y(s)=\frac{1}{(s-1)^{2}}

Y(s)=\frac{1}{(s^{2}+1)(s-1)^{2}}

To be able to separate in terms, we use the partial fraction method:

\frac{1}{(s^{2}+1)(s-1)^{2}}=\frac{As+B}{s^{2}+1} +\frac{C}{s-1}+\frac{D}{(s-1)^2}

1=(As+B)(s-1)² + C(s-1)(s²+1)+ D(s²+1)

The equation is reduced to:

1=s³(A+C)+s²(B-2A-C+D)+s(A-2B+C)+(B+D-C)

With the previous equation we can make an equation system of 4 variables.

The system is given by:

A+C=0

B-2A-C+D=0

A-2B+C=0

B+D-C=1

The solution of the system is:

A=1/2 ; B=0 ; C=-1/2 ; D=1/2

Therefore, Y(s) is equal to:

Y(s)=\frac{s}{2(s^{2} +1)} -\frac{1}{2(s-1)} +\frac{1}{2(s-1)^{2}}

By using the inverse of the Laplace transform:

ℒ⁻¹[Y(s)]=ℒ⁻¹[\frac{s}{2(s^{2} +1)}]-ℒ⁻¹[\frac{1}{2(s-1)}]+ℒ⁻¹[\frac{1}{2(s-1)^{2}}]

y(t)=\frac{1}{2}cos(t)- \frac{1}{2}e^{t}+\frac{t}{2} e^{t}

8 0
3 years ago
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
adelina 88 [10]

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96

7 0
3 years ago
F(x) = 9x + 7 <br>f(b) = 16 <br>b = ? ​
brilliants [131]
<h2>♪Answer : </h2>

»f(x) = 9x + 7

»f(b) = 16

  • x = b

»f(b) = 9b + 7

»16 = 9b + 7

»16 - 7 = 9b

»9b = 9

»b = 9/9

»b = 1✅

7 0
2 years ago
Read 2 more answers
6^5 divided by 6^3 <br> I know the answer is 36 but I am not sure how to show my work
mars1129 [50]
First of all you need to do it step by step.
how did you find 36.
6^5 = 7776  its like you multiply 6 by 6, 5 times it would give you that number
6^3 = 216      you multiply 6 by 6, 3 times it would give you that number.
and then you divided  7776 by 216  it should give you 36.
VOILA!!!!!   I hope you understand that. 
good luck!!!
4 0
3 years ago
Read 2 more answers
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