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d^2y/dx^2+4dy/dx-4y=sin3x
Discrete and Continuous Variable
Prove that all real of the form a+b2^1/2,a,b belongs to Z forms a ring
prove a --> ( b V c ) using contradiction method and combination of inference rules and equivalence laws from these premises : 1. a --> ( d V b ) 2. d --> c
A coin tossed 900 times . Calculate the standard normal variate for the number of heads between 435 and 465
The velocity of a moving object is given by the function
𝒅𝑽=𝟓𝒕^2+2t-4/t^2
a) Integrate the function and find the distance travelled in metres between t=2 and t=5
b) Calculate the distance travelled using a numerical method and compare your answer with part A.
Construct the call graph for a set of seven telephone numbers 555-0011, 555-1221,
555-1333, 555-8888, 555-2222, 555-0091, and 555-1200 if there were three calls from 555-0011 to
555-8888 and two calls from 555-8888 to 555-0011, two calls from 555-2222 to 555-0091, two calls
from 555-1221 to each of the other numbers, and one call from 555-1333 to each of 555-0011, 555-
1221, and 555-1200.
Suppose you save $4,000 per year at the end of each year for 30 years and earn 5% interest per year. How much will you have at the end of 30 years?
A vending treasury is purchased for RM 2,800 in cash with RM 700 down payment and fourteen monthly payments. If the interest calculated is 10% per annum, using the fixed rate equation calculation find:
I. Total interest charged
Secondly. monthly payment
A flood forecaster issues a flood warning under two conditions only:
i) Winter snowfall exceeds 20 cm, regardless of fall rainfall
ii) Fall rainfall exceeds 10 cm and winter snowfall is between 15 and 20 cm
The probability of winter snowfall exceeding 20cm is 0.05. The probability of winter snowfall of between 15 and 20 cm is 0.10. The probability of fall rainfall exceeding 10 cm is 0.10.
The probability that flooding occurs is 0.75 for condition (i) above, 0.60 for condition (ii) above, and 0.05 for conditions where no flooding was anticipated.
