If f(x)=a/x+bx has minimum at (2, 1) then (a, b)=

1.  (1, 1/4)

2.  (1/4, 1)

3.  (1, 4)

4.  (2, 1)

View Answer  
4
Correct Answer :

(1, 1/4)


Explanation :
No Explanation available for this question

If y= ax+b/(x-1)(x-4) has a maximum value at the point (2, -1) then

1.  A=10, b=20

2.  a=1, b=0

3.   a=5, b=5

4.  None

View Answer  
4
Correct Answer :

a=1, b=0


Explanation :
No Explanation available for this question

If a quadratic function in x has the value 9 when x=1 and has maximum value 10 when x=2 then the function is

1.   –x2+4x+6

2.   x+4x-x2

3.  8+4x-x2

4.  None

View Answer  
4
Correct Answer :

–x2+4x+6


Explanation :
No Explanation available for this question

If a cubic function of x has maximum 10 and minimum -5/2, when x=-3 and x=2 then the function is

1.  1/5x3+3/10x2-18/5x+19/10

2.   1/5x3+3/10x2-18/5x+16/100

3.  ax2+bx+c=0

4.  None

View Answer  
4
Correct Answer :

1/5x3+3/10x2-18/5x+19/10


Explanation :
No Explanation available for this question

The real number x when added to its inverse gives the minimum value of their sum at x=

1.  2

2.   1

3.  -1

4.  -2

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

If the product of two positive numbers is 400 then the minimum value of their sum is

1.  8

2.  12

3.  32

4.  40

View Answer  
4
Correct Answer :

40


Explanation :
No Explanation available for this question

The sum of two positive numbers is 12. The numbers so that the sum of the squares is minimum are

1.   6, 6

2.  15, 38

3.  24, 24

4.   38, 50

View Answer  
4
Correct Answer :

6, 6


Explanation :
No Explanation available for this question

The difference of two positive numbers is 10. If the square of the greater exceeds twice the square of the smaller by maximum value then they are

1.  15, 5

2.  20, 10

3.  30, 20

4.  None

View Answer  
4
Correct Answer :

20, 10


Explanation :
No Explanation available for this question

The sum of three numbers is 30. The first plus three times the second plus four times the third add on to 80. The numbers so that the product of all three is as large as possible are

1.  12, 10, 10

2.  10, 10, 10

3.  12, 12, 12

4.  10, 12, 12

View Answer  
4
Correct Answer :

10, 10, 10


Explanation :
No Explanation available for this question

Divide 64 into two parts such that the sum of the cubes of two parts is minimum. The parts are

1.  32, 30

2.  32, 32

3.  40, 42

4.  42, 42

View Answer  
4
Correct Answer :

32, 32


Explanation :
No Explanation available for this question
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