Civil and Environmental Engineering Answers

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 .

a 30m weighing 0.900kg has a cross-sectional area 0.0485cm^2. the tape measures 30.000m when supported throughout under a tension of 5kg. the modulus of elasticity is 2.1x10^6kg/cm. what tension is required to make the tape measure 30m when supposed only at the two ends?

Calculate the size of a rectangular sedimentation tanks to treat a flow of 12,000 m3/d. Adopt an overflow rate of 20 m3/m2-d and detention time of 4 hours. Use two units in parallel. What will be the minimum weir length required if the weir overflow rate is not to exceed 300 m3/m-d? Also check the horizontal velocity.

Calculate the size of a rectangular sedimentation tanks to treat a flow of 12,000 m3/d. Adopt an overflow rate of 20 m3/m2-d and detention time of 4 hours. Use two units in parallel. What will be the minimum weir length required if the weir overflow rate is not to exceed 300 m3/m-d? Also check the horizontal velocity.

What are the METHODS OF FORECATING POPULATION?