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As compared to geometrical increase method of forecasting population, arithmetical increase method gives

a) lesser value

b) higher value

c) same value

d) accurate value


The distribution mains are designed for
a) maximum daily demand
b) maximum hourly demand
c) average daily demand
d) maximum hourly demand on maxi

The term which can differentiate thermodynamics from other sciences is ____.

a. Pressure

b. Temperature

c. Mass

d. none of the above


A 50 m steel tape is of standard length under a pull of 5.5 kg when supported throughout its entire length. the tape weighs 0.05 kg/m, has a cross sectional area of 0.04 sq.cm and being made steel, it's modulus of elasticity is 2.10x10^6 kg/cm2. this tape was used in the field to measure a distance that was determined to be 458.650 m. at the time the measurement was made, the constant pull applied was 8 kg with the tape supported only at its end points. determine the correct length of the line.

In a binomial distribution the probability of success is equal to 0.5 and the mean is equal to 10. Find the mode of the distribution.


Let g(x, y) = 3x²y + y3 – 3x? – 3y? + 1. Determine the points where the function g(x, y) has the local maximum. None of these O (0,0) O (0, –1) O (1,0) there are no such points


Use Stoke's theorem to evaluate f(V × F) · ndS, where F(x, y, z) = (x², y², z²), n is oriented in the upward direction and S is the portion of the surface z = 1 – x2 - y? that lies above the xy-plane. O none of them O1 25 7 16


Find the arc length of the portion of the graph of y = x? + where -1 < x < 1. You may numerically approximate the a length after setting the appropriate definite integral. OS = 2.35022 O S = 3.1


Use Lagrange multipliers to find the maximum value of h(x, y, z) = xy² z³ subject to the constraint x + y + z = 6, x > 0, y > 0, z > 0. O h(1, 1, 4) = 64 O h(2, 2, 2) = 64 O h(1, 2, 3) = 10 O h(1,2,3) = 108 O h(1,2,3) = 101


a steel tape of nominal length 200m with a plumb bob of mass 16kg attached to it was used to measure a length down a shaft as 160.852m. the mean temperature during the measurement was 4'C. if the tape was standardized to be 200.0014m under a tension of 115n at 20'C temperature, determine the correct measured length .


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