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Gnesinka [82]
2 years ago
5

A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he b

uild?
a 3

b 5

c 30

d 35
Mathematics
1 answer:
mel-nik [20]2 years ago
6 0
It’s either A.3 or C.30
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Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?
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Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

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We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find  the solutions are independent or dependent.

To find  the solutions are independent or dependent we use wronskain

w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let y_1=t,y_2=t ln t

y'_1=1,y'_2=lnt+1

w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}

w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t where t is not equal to zero.

Hence,the wronskian  is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

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Step-by-step explanation:

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Has a slope of 1/2 and passes<br> through the point (-2, 4).<br> Need the equation please
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Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D

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