Engineering Answers

Simplify the following boolean function, using three-variable maps:

F(x, y, z) =  Σ(1, 4, 5, 6, 7)

Simplify the following boolean function, using three-variable maps:

F(x, y, z) =  Σ (1, 3, 5, 7)

Design a standalone (off grid) PV system for the households in the village so that the following electrical appliances can be utilized: • 1 x 18 W fluorescent lamp running for 4 hours per day • 1 x 60 W fan run for 2 hours per day • 1 x 75 W refrigerator that runs 24 hours per day with compressor that runs 12 hours and off 12 hours The system will be powered by 12 VDC, 110 W PV module.

In a game, a card is taken at random from a full pack of 52 playing cards. It is then replaced, and a second card is taken. What is the probability that both cards are diamonds? O 0.225 O 0.625 O 0.0625 O 0.5 O 0.125

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.

Design a standalone (off grid) PV system for the households in the village so that the following electrical appliances can be utilized: • 1 x 18 W fluorescent lamp running for 4 hours per day • 1 x 60 W fan run for 2 hours per day • 1 x 75 W refrigerator that runs 24 hours per day with compressor that runs 12 hours and off 12 hours The system will be powered by 12 VDC, 110 W PV module. Description 1 Project aim 2 Project theoretical background 3 Project problem statement 4 Specifications (material to be used for the project) 5 Method used for communication 6 Challenges experienced 7 Number meetings attended 8 Meetings attendance list attached 9 Calculation of power consumption demand 10 Calculation of size of the PV panel/s (number of PV panels required)

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