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A measure of how hot weather feels to an average person is the Apparent Temperature Index.
A model for this index is:
A = 0.885t − 22.4h + 1.20th − 0.544,
where A is the apparent temperature in degrees Celsius, t is the air temperature, and h is the
relative humidity in decimal form.
a) Find ∂A/∂t and ∂A/∂h when t = 300 and h = 0.80.
b) Which has a greater effect on A, air temperature or humidity? Explain.
Determine whether any of the lines are parallel or identical.
L1: x = 3 + 2t, y = −6t, z = 1 − 2t,
L2: x = 1 + 2t, y = −1 − t, z = 3t,
L3: x = −1 + 2t, y = 3 − 10t, z = 1 − 4t,
L4: x = 5 + 2t, y = 1 − t, z = 8 + 3t.
Write down T3(x), T4(x), and T5(x) for the Taylor series of f(x) = ln (3 + 4x) about x = 0.
Graph all three of the Taylor polynomials and f(x) on the same graph for the interval [−1/2,2]using programming tool.
The function J1 defined by
J1(x) = ∑((((−1)^n).x^(2n+1))/(n! (n + 1)! 2)).2n+1
n=0
,
is called the Bessel function of order 1.
a) Find its domain.
b) Graph the first several partial sums on a common screen using programming software.
A short-term insurance company receives seven motor vehicle claims, on average, per day. Assume that the daily claims rate follows a Poisson process.
Calculate all the probabilities using the Poisson formula What is the probability that on a given day no more than five motor vehicle claims will be received?
sipho and litha are brothers . the sum of their ages is 29 . in 6 year's time sipho will be the same age as litha was 3 years ago
The height of learners (in cm) at a high school can be described by the N(174.50,47.61) distribution. If 1000 learners are randomly selected from the school, how many of them would you expect to have a height of less than 160.0 cm?
the legs of a right triangle measure 5 inches and 7 inches
1. A company manufactures soaps. The mean mass of the soaps is 300g with variance 52g. A sample of 100soaps was selected.
a) Find the probability of selecting soaps more than masses 320g.
b) How many soaps will have masses between 280g and 500g.
Sipho and litha are brothers. The sum of their ages is 29. In 6 years' time Sipho will be the same age as Litha was 3 years ago. Determine the current age of the two brothers. Let x be the age of Sipho.
