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Bài tập CALCULUS 92
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Created by T. Madas
Question 303
(*****)
A curve C and a straight line L have respective equations
C : y = 3 x2 − 4 x + 7 , x ≥ 0
4
L : y = 5x − 9
a) Show that L is a tangent to C at some point P , further determining the
coordinates of P .
b) Show further that L does not meet C again.
MP1-T , P ( 4,11)
Created by T. Madas
Created by T. Madas
Question 304
(*****)
If a and b such that a > b > 0 , find with justification the minimum value of
4a 2 + 9b2
.
5ab
SPX-R , 12
5
Created by T. Madas
Created by T. Madas
Question 305
(*****)
A convergent geometric progression has positive first term and positive common ratio.
Show that the sum to infinity of the progression is at least four times as large as its
second term.
V , SYN-W , proof
Created by T. Madas
