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The height on the surface of the mountain is described by the h(x,y) = 4000 - .001 x2 - .004 y2 for each of the following parts assume that you are currently standing at the point on the surface corresponding to x = 500 y = 300.
a) How steep is the incline at this point if you are walking in the positive y direction?
b) At what rate is your height on the surface changing at this point if you are walking toward x = 400 y = 200?
c) In what (instantaneous) direction should you move in order to descend at the greatest rate?
Members of an indefinitely large population are either immune to a given disease or are susceptible to it. Let Xn be the number of susceptible members in the population at time period n and suppose X0 = 0 and that in the absence of an epidemic X(n+1)..
estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
for the data set shown below do they following. a compute the standard error the point estimate for sigma. b assuming
A box with a lid is to be cut out of a 12-inch by 24-inch sheet of thin cardboard by cutting out six x-inch squares. What are the dimensions to two decimal places of all possible boxes that will have a volume of 100 cubic inches?
the students are psychology majors & 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business?
Simple linear regression equation
An airplane flying at an altitude of 30,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is 43°. Approximate the speed of the airplane to the nearest mile per hour.
Use the Gauss-Jordan Method of Computing Inverses to find the inverse and then to solve the system of linear equations.
When the sides are turned up to form the box, its volume is 765 cubic inches. Find the dimensions, in inches, of the original piece of cardboard.
recent information published by the u.s. environmental protection agency indicates that honda is the manufacturer of
Use truth tables to show the whether ¬p ∧ ¬(p → q) is a tautology, a contradiction or neither.
A person who is 6 foot tall walks away from a 40 foot tree towards the tip of the tree's shadow. At a distance of 10 feet from the tree the persons shadow begins to emerge beyond the tree's shadow.
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