1. f(x) = 2x2 + x - 1 possesses a minimum Value equal to:
Sol: use
= 
2. The mimumum value of 64 secθ + 27 cosecθ, o < 
< π/θ , is:
Sol:
3. Onthe interval [0, 1], f(x) = x25(1 - x)75 has the extremum at x =
Sol:
4. The sum of two non-zero numbers is 4. The least sum of their reciprocals is:
Sol: 
5. f(x) = alogx + x + bx2 has extremum values at x = -1 and x = 2. Then ab =
Sol: 
6. f(x)= a cos x - 
cos3x possesses maximum value at x = 
. The value of 'a' is:
Sol: 
7. The largest possible interval in which f(x) = x3 + 6x2 + px + 2 decreases is (-3, -1). Then 'p' must be equal to:
Sol: 
8. 2x3 - 3x2 - 36x + 10 decreases in the interval:
Sol: 
9. The extremum value attained by 
is:
Sol: 
10. The least value possessed by a2 tan2x + b2 cot2x is:
Sol:
11. Minimum value attained by a 2sec2x + b2 cosec2x is:
Sol: 
