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 term which can differentiate thermodynamics from other sciences is ____.
a. Pressure
b. Temperature
c. Mass
d. none of the above
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 .