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lesya [120]
3 years ago
10

How do i find the weight

Mathematics
1 answer:
Alla [95]3 years ago
4 0
Convert it then you will fine the weight.
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Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.
Kipish [7]
Hello!!

Equation forms:

y =  \frac{x^2}{4} +  \frac{x}{2} +  \frac{13}{4}

Therefore, x^2 - 2x + 4y - 13 = 0

And, this is how your graph would look

Good luck :)

8 0
3 years ago
Sara receives a 9% commission on every car she sells. The car dealership paid $20,000 for a car from an auction. The next day th
Paladinen [302]

Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

4 0
3 years ago
*EXTRA POINTS*
SashulF [63]

Answer:

geometric sequence

ratio

2

3 0
3 years ago
Dusty won $125,000 on who wants to be a zillionaire? Game show. He decides to place the money into an account that earns 6.25% i
docker41 [41]

Answer:

kmlk

Step-by-step explanation:

,m,m

4 0
3 years ago
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