Answer with explanation:
The given differential equation is
x²y" -7 x y' +1 6 y=0---------(1)
Let, y'=z
y"=z'

Substitution the value of y, y' and y" in equation (1)
→x²z' -7 x z+16 zx=0
→x² z' + 9 zx=0
→x (x z'+9 z)=0
→x=0 ∧ x z'+9 z=0

is another independent solution.where m and K are constant of integration.
G(4) = 3x^2 - 3x - 9
Since the g(4) would be g(x) if you didn't know the number. So, substitute all of the x's for 4.
g(4) = 3(4)^2 - 3(4) - 9
g(4) = 3(16) - 12 - 9
g(4) = 48 - 3
g(4) = 45
I hope this helps you!
capacity of the stadium=23564
no.of seats occupied=3/4 of 23564
no.of people in the stadium=23564*3/4
=17673
Answer:
757,576cents
Step-by-step explanation:
Given
Amount = $10000
Time = 4years
Rate = 8%
n = 1/4 year (compounded quarterly
Using the formula to get the principal
A = P(1+r/n)^nt
10000 = P(1+0.08/0.25)^4(1/4)
10000 = P(1+0.32)
10000= 1.32P
P = 10000/1.32
P = 7575.76
Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents
The given statement is proved by side-angle-side (SAS) theorem.
Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.
The statement is proved by SAS theorem
<u>Side-Angle-Side (SAS) theorem: </u>
The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.
Hence, The given statement is proved by side-angle-side (SAS) theorem.
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