calculate the ratio of the area to the volume for a unit cube a unit sphere inscribed inside the cube and a right cylinder incribed inside the cube
integrate the following (3y-7x-3)dx+(7y-3x-7)dy=0
integrate it by integrating factor (cos^3x)dy/dx +ycosx=sinx
solve it by integating factor dy/dx + (x+1/x)y=e^-2x
3.The lifespan of 300 Giant turtles is found to follow a Normal distribution ~ N(70,144). (a)What is the standard error for this samples mean? (b) What is the probability of a turtle living more than 85 years? (c)What is the probability of a turtle living between 60 and ...
A study shows that the probability of a baby being born with gene x is 0.6. The probability of a baby being born with gene y is 0.7. (a)What is the probability of being born with both genes assuming that the probabilities are independent? (b)In fact; 90% of those born with gen...
The turnover (in millions of pounds) for 8 train companies and 8 coach companies are given below. Train 4.3 13.2 134 88 92 66.5 122.1 102 Coach 2.2 31 44 72 19 89.3 55.9 43.1 (a)Using an appropriate statistical test determine whether train companies or coach companies have hig...
A pendulum of length L = 48.5 cm and mass m = 169 g is released from rest when the cord makes an angle of 65.4 with the vertical. What is the speed (m/s) of the mass upon reaching its lowest point?
A pendulum of length L = 20.8cm and mass m = 168 g is released from rest when the cord makes an angle of 65.2 with the vertical. (a) How far (m) does the mass fall before reaching its lowest point? (b) How much work (J) is done by gravity as it falls to its lowest point? ...
The loaded car of a roller coaster has mass M = 320 kg. It goes over the hig a speed v of 21.4 m/s. The radius of curvature R of the hill is 62.3m (a) What is the force (N) that the track must exert on the car? (positive is (b) What must be the force (N) that the car exerts on...