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1. Let f (x) = 3x + 1 and g(x) = -x2 - x. Is it true that f (g(x)) = g(f (x)) for any x ∈ (-∞, ∞)? If not, is there any particular real value of x, which satis?es the above equation?
2. For the following demand and supply functions of a product, state the economically sensible values of price and quantity for which each of them are de?ned. Draw the market diagram for this product with price shown on the vertical axis.
What are the equilibrium price and quantity? Carefully explain why the price you obtained is the equilibrium price.
r qS = -5 + 3p,
qD = 20 - 2p.
completenbspthe cumulative business research report in no more than 1400 words by collaborating with your team to
Hypothesis test for single mean
suppose a damaged ship just barely floats in the ocean after a hole in its hull has been sealed. it is pulled by a
In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
k is the growth constant equal to the percent of growth per unit of time. An artifact is discovered at a certain site. If it has 65% of the carbon- 14 it originally contained, what is the approximate age of the artifact?
Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o.
assume the following transactions occurred during the year. the annual accounting period ends on december 31.jan.
Estimate the approximate population of Appleville in 1988 by finding an equation and then substituting.
points a & b are the midpoints of adjacent sides of the square. what is the value of the shaded part?
The perimeter of a square garden is 248 metres. What is the length of each side?
there is a liquid motion due to a doublet of strength μ at the point (0,3α) with its axis along the Y axis.find the velocity potential
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