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Consider the two curves given by x2 + 2y2 - 6 and x2 - 4y = 0.
a. Express dy/dx in terms of x and y for both curves.
b. Find the points where the two curves intersect.
c. Use part (alpha) to find the slope of the tangent line to each curve at the points of intersection. Confirm that the tangent lines to each curve at the intersection points are perpendicular.
a rectangular piece of cardboard, whose area is 320 square cm, is made into an open box by cutting a 2-cm square from each corner and turning up the sides. if the box is to have a volume of 384 cubic cm, what size cardboard should you start with?
two men on opposite sides of a tv tower of height 26 m notice the angle of elevation of the top of this tower to be 45
The market interest rate is 5.0% and the short rebate rate is 3.0%. What is your additional gain or loss due to leasing the asset?A. $96.00 gain
bay street has between 1 annd 15 houses nubered 123 and so on. mr sullivan lives in one of these houses. the sum of all the houses equals the sum of all the house nubers greater than his. how many houses are there on bay street?
A company uniformly receives 20 phone calls from 9am -7 pm What is the probability that the number of calls between 12 :00 and 1:00 will be:
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
A class has 10 business majors and 15 econ majors. If Five students are chosen at random, what is the probability that three are business major and two are econ majors?
what they represent in the context of the problem
A box has a bottom with one edge 6 times as long as the other. If the box has no top and the volume is fixed at V, what dimensions minimize the surface area?
Why is differentiation not a linear transformation from V to V? What is the image of V under the operation of taking the second derivative?
Estimate the relative error in the calculated surface area.
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