18. To calculate the concentration C in parts per million of a certain drug in the blood
stream after thours is given by equation
C(t)= t°/2-2t+2
a) The given equation represents a
i) Quadratic polynomial ii) linear polynomial
Cubic polynomial iv) biquadrate polynomial
b) After how many hours, the concentration of drug in blood stream becomes zero.
1) 2 hours ) 1hours ii) -2 hours iv) always
c) A polynomial that consists of a non-zero constant is called a
1) Constant polynomial ii) zero polynomial
ili) Linear polynomial iv) cubic polynomial
Answers
Answer:
(a) (i) quadratic polynomial
(b) (i) 2 hours
(c) (i) constant polynomial
(d) (ii) constant polynomial
(e) (i) zero polynomial
Given : To calculate the concentration C in parts per million of a certain drug in the blood stream after t hours is given by equation
C(t)= t²/2 -2t + 2
To Find : The given equation represents a
Solution:
t²/2 -2t + 2
The given equation represents a Quadratic polynomial
Quadratic polynomial is of form ax² + bx + c
a = 1/2 b = - 2 c = 2 and x = t
t²/2 -2t + 2 = 0
=> t² -4t + 4 = 0
=> (t - 2)² = 0
=> t = 2
after 2 hrs the concentration of drug in blood stream becomes zero.
A polynomial that consists of only a non-zero constant is called a Constant polynomial
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