Given the functions đ(đĨ) = đĨ â 5 and đ(đĨ) = đ
đĨ
Determine (đ â đ)(5)
Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?
for h(x) = 2/3 x -5 find the value of x for which h(x) = -7
An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will have an average resistance greater than 114 ohms.Â
Evaluate:
a) âĢâĢD (e^(y^2) + 1) dA where D is the triangle with vertices (0,0), (-2,4) and (8,4).
b) âĢâĢD x^(5)sin(y^4) dA where D is the region in the 2nd quadrant bounded by y =3x^2, y = 12 and the y-axis.
Determine the volume of the region that is between the xy plane and f(x, y) = 1 + y^(5) +â(x^(4)+1 and is above the region in the xy plane that is bounded by y = âx, x = 2 and
the x-axis.
The velocity of a particle moving on the x-axis is given by v(t) = t^(3) â 6t^(2) for the time interval 0 ⤠t ⤠10.
a) When is the particle farthest to the left?
b) When is the velocity of the particle increasing the fastest?
Evaluate âĢâĢâĢE 6z^2dV where E is the region below 4x + 2y + 2z = 10 in the first octant.
Find favg for the functions given on the interval and determine the value of c in the given
interval for which f(c) = favg.
a) f(x) = 9 â 2e^(4x+1) on [2,6]
b) 8 â cos (x/4) on [0 4Ī]
Normally in real life situations we use alpha =5% or lesser. If alpha =5% it means we are allowing an error of 5%. Equivalently, we are saying if we do the experiments 100 times we only expects to make errors 5 times. In practice, we want or expect the error to be small.