For what value of 'x' will the function have the maximum or minimum value?

2
1/2
-4
1
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
The range of values of k for which the function has a local maxima at point x = 0 is

k < -2 or k > 2
k ≤ -2 or k ≥ 2
-2 < k < 2
-2 ≤ k ≤ 2
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
Find all local optima of the function

Choose the correct options

x = -0.25 is a stationary point
x = 0 is a critical point
x = 1 is a stationary point
x = 2 is a critical point
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.00
be a real-valued function.

Which of the following statements is/are True?

f(x) does not have a local maximum
f(x) has a local maximum
f(x) does not have a local minimum
f(x) has a local minimum
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.00
The optimum value of the function

2 (maximum)
2 (minimum)
−2 (maximum)
−2 (minimum)
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
Consider function , where x is a real number. The function f(x) has
Only one minimum
Only two minima
Only three maxima
None of the above
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
If has local maxima and minima at x = k and x = m respectively, then 2k+m is equal to
5
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00

Choose the correct options

a = 1/2
a = 1/5
b = -1/4
b = 1/4
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
A square sheet of cardboard with each side a centimetres is to be used to make an open top box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as large a volume as possible?
x=a/2
x=a/4
x=a/6
x=a/8
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
A farmer has 8 km of fencing wire, and wishes to fence a rectangular piece of land. One boundary of the land is the bank of a straight river. What are the dimensions of the rectangle so that the area is maximised?
2 km * 4 km ; 8 Km^2
3 km * 2 km ; 6 Km^2
5 km * 2 km ; 10 Km^2
1 km * 4 km ; 4 Km^2
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Find the points of maxima and minima of a function:

Choose the correct option

Maxima at x = 0
Minima at x = 1
Maxima at x = 2
Minima at x = 0
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Compute the maximum slope of the curve

12
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
A ball is thrown in the air. Its height at any time t is given by:

h = 3 + 14t − 5t2

What is its maximum height (m)? Give answer round to two decimal places.

((12.80,12.81))
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Consider the function the function f(x) has

Choose the correct options:

Maximum value at x = 1
Minimum value at x = 3
Maximum value = -298
Minimum value = -298
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00