Calculux

if 23% of all patients suffering bad side effect from a certain medicine. Use normal approximation to binomial to find the prob. that among 120 patient treated with the medicine, 32 have bad side effect.

A string is tied to two points at the same level and a smooth ring of weight w Newtons, which can slide freely along the string is pulled by a horizontal force of p Newtons. if in the position of equilibrium the portions of the string are inclined at angles 60 Degrees and 30 Degrees to the vertical, find the value of p and the tension in the string.

Of 174 students who have studied in a certain school, 37 students studied maths, 60 studied biology, and 111 studied physics. 29 students studied maths and physics, 50 studied biology and physics, and 13 studied biology and maths. if 45 students did not study either maths, biology, or physics. use Venn diagram to find the probability that a student selected at random

a. studied all the three subjects b. studied biology and physics only.

use method of variaton of parameters to find the particular solution of y''+y=tant on -pi/2<t<pi/2.

show that X=e^2t is a solution to the linear differential equation, x''-(1+2t/t)x'+2/tx=0

use method of variation of parameters to evaluate y''+y=secx and y'''+y'=secx