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Solve the given problems by use of an appropriate sequence or expansion. All numbers are accurate to at least two significant digits.
What is the fifth term of the arithmetic sequence in which the first term is and the second term is b?
The CD paid 4% annually, the bonds paid 5% annually, and the mutually fund paid 8% annually. There was $4,000 more invested in the CD than the mutual funds. Find the amount Sandra invested in each category.
If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample mean..
an air force study indicates that the probability of a disaster such as the january 28 1986 explosion of the space
A company wishes to manufacture a box with a volume of 52 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necess..
a forensic scientist uses the expression 72.6 + 2.5 T to estimate the height in centimeters of a female. If a female skeleton has a tibia of length 32.4 cm then what was the height of the person?
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
the random variable x is the number of houses sold by a realtor in a single month at the real-estate office.nbsp its
a study conducted by zagat survey concluded that many first-rate restaurants are located in hotels across the united
The curve, C, intersects the surface, S, in two points. Find the coordinates of these points. Find the arclength of the segment of the curve C that lies within the sphere S.
Write the solution to this IVP in the form y(t) = R cos(ω0 t - θ) and give the amplitude, period, frequency, and phase shift of the resulting motion.
what does the shadow price reflect in a maximization problem? explain. how do the graphical and computer-based methods
Let λn, Xn be the eigenpairs you found in part (b)1. Show that the eigenfunctions Xn are orthogonal with respect to the L2((0, π)) inner product. For every n, compute the square L2((0, π))-length of Xn. That is, compute (Xn, Xn)L2((0,π)) for every n.
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