8. If a quadratic polynomial curve in the shape of semi-circle is shown below. ObIC o Then, the equation of this curve. Y 2nortou.2osnil to ic X'+ (2, 0) (a) -x2 +2 (b) x2 +2 (c) (d) -x² +2 +2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Draw the graph of the polynomial - x+ x + 2 and find
the maximum value of the polynomial.
(a) 2
(b)
(c)
(d) None of these
[Hint For finding the maximum and minimum value of
a polynomial, use maximum p (x) or
2-4 ac
minimum p (x) = -
4 a
7. If a, Band y are the zeroes of the polynomial
p(x) = ax' + 3bx² + 3cx+d and having relation 2B = a+Y,
then 2b-3 abc + a²d is
(a) -1
(b) 1
(c) 0
(d) None of the above
8. If a quadratic polynomial curve in the shape of
semi-circle is shown below.
ROT
Then, the equation of this curve.
IC
anoitoo.2)penilto io
Y
X+
(2, 0)
notoup
(a) -x² +2
(b) x2 +2
(c) x +2
2
(d) --x +2
2
Transcribed Image Text:6. Draw the graph of the polynomial - x+ x + 2 and find the maximum value of the polynomial. (a) 2 (b) (c) (d) None of these [Hint For finding the maximum and minimum value of a polynomial, use maximum p (x) or 2-4 ac minimum p (x) = - 4 a 7. If a, Band y are the zeroes of the polynomial p(x) = ax' + 3bx² + 3cx+d and having relation 2B = a+Y, then 2b-3 abc + a²d is (a) -1 (b) 1 (c) 0 (d) None of the above 8. If a quadratic polynomial curve in the shape of semi-circle is shown below. ROT Then, the equation of this curve. IC anoitoo.2)penilto io Y X+ (2, 0) notoup (a) -x² +2 (b) x2 +2 (c) x +2 2 (d) --x +2 2
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