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A car is driven 115 km west and then 60 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
where t is the time. If the mass is initially at equilibrium and has a velocity of +1 m/sec, find its displacement as a function of time.
Use the Chain Rule to find the indicated partial derivatives.
Important information about Probability, Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
is it possible to write the volume of that box as a function of the size of the cut? if yes what is the domain of the volume function?
It travels 360 mi going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
One property of rational numbers is that they are dense, that is, between any two rational numbers is another rational number. Given two arbitrary rational numbers, show how you could find another rational number between them.
Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 50% like country music, 30% like gospel music, and 15% like both.
what is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid x^2/9 + y^2/16 + z^2/36 = 1?
Where should Steve cut the wire so that the total area of the circle and square combined is as small as possible? What is this minimal area? What should Steve do if he wants the combined area to be as large as possible?
Find a quadratic function that models the data shown as a function of x, the number of weeks.
Provide basic information about the BMI difference
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
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