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verify liouville''s theorem for y''''''-y''''-y''+y=0
Average Function Value The average value of a function f(x) over the interval [a,b] is specified by, f avg = (1/b-a) a ∫ b f(x) dx Proof We know that the average
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
lbl 2 lcl 2 sin 2 θ
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
Example: Find out the radius of convergence for the following power series. Solution : Therefore, in this case we have, a n = ((-3) n )/(n7 n+1 ) a n+1 = (
Kenny used a micrometer to measure the thickness of a piece of construction paper. The paper measured halfway among 0.24 millimeters and 0.25 millimeters. What is the thickness of
Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit
Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order
Find the middle term of the AP 1, 8, 15....505. A ns: Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37
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