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A 2100 kg car traveling to the right at 22 m/s is chasing a second car of the same mass that is traveling to the right at 10 m/s. What fraction of the initial kinetic energy of the cars is lost during this collision?
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
Solve the system of equations-Solve systems of equations with two and three variables.
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems.
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
What is the probability that a randomly selected bike that did not pass inspection came from assembly line B?
The following is offered as a solution of the equation. Because 7 = -12 is not a true equation, the equation has no solution. If this is correct, state that there is no solution. If not, explain in detail why it is not correct, and supply the corre..
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
A chemist needs 150 milliliters of a 23% solution but has only 12% and 27% solutions available. Find how many milliliters of each should be mixed to get the desired solution.
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
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