MEDIUM
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Which technique involves comparing actual performance with predetermined standards?

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Important Questions on Differential Equations

HARD

Let f:121R (the set of all real numbers) be a positive, non-constant and differentiable function such that f'x<2fx and f12=1. Then the value of 1/21fxdx lies in the interval:

EASY
In an ecosystem the rate of production of organic matter during photosynthesis is termed as:
MEDIUM
At present, a firm is manufacturing 2 00 0 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dPdx=100-12x. If the firm employs 2 5 more workers, then the new level of production of items is
MEDIUM
The equation of the curve passing through the point 1, 1 such that the slope of the tangent at any point x, y is equal to the product of its co-ordinates is
EASY

The rate of storage of organic matter which is NOT used by the consumer is ______.

EASY
The differential equation of the family of curves, x2=4by+b, bR, is.
EASY
Among the following organic acids, the acid present in rancid butter is :
HARD

If the body cools from 135°C to 80°C at room temperature of 25°C in 60 minutes, then the temperature of body after 2 hours is

EASY

The energy which is present in the biomass of plant is known as ________.

HARD
The equation of the curve whose slope at any point is equal to y+2x and which passes through the origin is
MEDIUM
In a certain culture of bacteria, the rate of increase is proportional to the number present. It is found that the number doubles in 4 hours. Then, the number of times the bacteria are increased in 12 hours is
HARD
Given that the slope of the tangent to a curve y=y(x) at any point x,y is 2yx2. If the curve passes through the centre of the circle x2+y2-2x-2y=0, then its equation is
MEDIUM
At any point on a curve, the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point. If the curve passes through 0,1, then the equation of the curve is
HARD
Water at 100°C cools in 15 minutes to 75°C in a room temperature of 25°C. Then, the temperature of water after 30 minutes is
HARD

The rate of growth of bacteria is proportional to the number present. If initially there were 1000 bacteria and the number doubles in 1 hour. Then, the number of bacteria after 21 2 hours are (Given 2=1.414

EASY
Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise?
EASY
Which one of the following ecosystem has the highest annual net primary productivity?
EASY
In relation to Gross primary productivity and Net primary productivity of an ecosystem, which one of the following statements is correct?