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Suppose x = D(p) is a nonlinear demand equation. Let price change from p to p + h Show that elasticity of demand is the limit as h approaches zero of the relative change in demand to the relative change in price.
Old Faithful, the most famous geyser in Yellowstone Park, had the following durations (measured in seconds) in six consecutive eruptions: 240 248 113 268 117 253 Given 113 117 240 248 253 268 Put in order, Find the sample median.
MATH 54 QUIZ 7. Suppose x is an eigenvector of A corresponding to an eigenvalue λ. Show that x is an eigenvector of 5I - A. What is the corresponding eigenvalue? Show that x is an eigenvector of 5I - 3A + A2. What is the corresponding eigenvalue
From the top of a 155 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
John has 20 more chocolate bars than Rick. Cathy has 5 times as many chocolate bars as John. If Rick has r chocolate bars, how many chocolate bars Cathy has, c?
As an online shopper (assume that you are even if you've "never bought anything online"), what might you do differently, now that you know Amazon.com or Staples.com may be charging you a higher price based on information retrieved from your PC?
There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third- graders than fourth-graders, how many third- graders are there in the school?
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
the height of a ball thrown by a child is given by:-1/12x2+2x+4where x is the horizontal distance from the point at which the ball is thrown. What is the maximum height of the ball?
Given a position vector r(t) = Find the velocity and acceleration vectors and the speed at time t. Find the arc length of the curve given by r(t) = a cos (ωt) i + a sin(ωt)j. between t = 0 and t = π/3.
4 The output voltage of an amplifier was measured by six different students using the same oscilloscope with following results. (a) 20.20 V
Is there evidence of linear correlation between the two variables? Is the direction of association positive or negative? Interpret the meaning of this relationship in the context of this problem. Explain your answers using the value of r, the p-va..
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
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