Mathematics - Maxima and Minima 1
Exam Duration: 45 Mins Total Questions : 2
1 )
Assuming that the petrol burnt in a motor boat varies as the cube of its velocity, the most economical speed, when going against a current of c km/h is
- (a)
(3c/2) km/h
- (b)
(3c/4) km/h
- (c)
(5c/2) km/h
- (d)
(c/2) km/h
2 )
Let f(x)=\(\begin{cases} \left| { x }^{ 2 }-3x \right| +a,\quad 0\le x<32 \\ -2x+3,\quad x\ge \frac { 3 }{ 2 } \end{cases}\)
If f(x) has a local maxima at x=\(\frac{3}{2}\) , then
- (a)
a≤0
- (b)
a≤\(-\frac{9}{4}\)
- (c)
a≥\(\frac{9}{4}\)
- (d)
none of these