Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 81 to 90 out of 152 Questions
6 7 8 9 10 11
81.
If kx3 - 9x2 + 9x + 3 is an increasing function on R then _____ .
(a) k > 4
(b) k > 3
(c) k ≤ 2
(d) k < 3
Answer:

Option (b)

82.
Water is falling into a cylinder of radius 1 m at the rate of 1 m3/min. Then rate of increase of height of the surface is _____
(a) 1π m/min
(b) 1 m/min
(c) π m/min
(d) π2
Answer:

Option (a)

83.
The minimum value of 27cos2x x 81sin2x is _____
(a) -5
(b) 15
(c) 125
(d) 243
Answer:

Option (d)

84.
When the area of a rectangle with given perimeter becomes the maximum, the ratio of their sides is _____
(a) 2 : 1
(b) 1 : 1
(c) 3 : 2
(d) 4 : 3
Answer:

Option (b)

85.
Diameter of spherical baloon is 322x+1. Rate of increase of its volume w.r.t x is _____
(a) π82x+12
(b) 27π82x+12
(c) 27π82x+1
(d) None of these
Answer:

Option (b)

86.
fx=25-9x2 is decreasing in the interval _____
(a) -53,0
(b) 0,53
(c) -53,53
(d) 53,∞
Answer:

Option (b)

87.
f(x) = sinx + cos2x (x > 0) is minimum then _____
(a) nπ2
(b) 3n+1π2
(c) 2n+1π2
(d) none
Answer:

Option (c)

88.
f(x) = (3 - x)e2x - 4xex - 1 then _____ .
(a) f(x) has maximum value at x = 0
(b) f(x) has minimum value at x = 0
(c) f(x) has not maximum or minimum value for x = 0
(d) f(x) is not differentiable at x = 0
Answer:

Option (c)

89.
x = -1 and x = 2 are the points of inflexion of the curve y = a log x + bx2 + x then _____
(a) a = 2. b = -1
(b) a = 2. b = -12
(c) a = -2. b = 12
(d) a = 2. b = 2
Answer:

Option (b)

90.
For x = _____ the curve 2x3 - 3x2 - 12x + 5, -2 ≤ x ≤ 4 has its maximum value.
(a) -2
(b) -1
(c) 2
(d) 4
Answer:

Option (d)

Showing 81 to 90 out of 152 Questions
6 7 8 9 10 11