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Question: The gravitational force, F, on a rocket at a distance, r, from the center of the earth is given by
F = k/r2
Where k = 1013 newton · km2. When the rocket is 104 km from the center of the earth, it is moving away at 0.2 km/sec. How fast is the gravitational force changing at that moment? Give units. (A newton is a unit of force.)
A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one.
Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
in automobile manufacturer has determined that 30 of all gas tanks that were installed on its 2002 compact model are
Find an eigenvector v1 corresponding to one of the eigenvalues. Find an eigenvector v3 corresponding to the remaining eigenvalue. Calculate v1 · v3. Are v1 and v2 linearly independent, orthogonal, both, or neither?
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
A password for certain computer system consists of 3 lower-case letters (a-z) followed by 3 digits (0-9).
Consider the vectors v1, v2, v3, and b in R2, shown in the figure. Does the equation x1v1 + x2v2 + x3v3 = b have a solution? Is the solution unique?
The angle of elevation of the tp of a lamp post when observed from a point 40 m from the foot of the lamp post is 30 degrees.find the hieght of lamp post.
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?
Determine the rate of change of the x-coordinate of the point Q at the moment when P is at (3,0) and the x-coordinate of P is increasing at a rate of 1 cm/sec.
What are the plasma proteins? What do you mean by Colloid Osmotic Pressure? What are the factors that influence ( COP)
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