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What is an example of a linearly dependent set of three vectors with the property that any single vector can be removed from the set without changing the span of the set?
What is an example of a linearly dependent set of three vectors that does not have the property as Question above?
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
Jack and Jill ran a 200 meter race. Jill ran the race in 25 seconds and won by 5 meters; that is Jack had run only 195 meters when Jill crossed the finish line.
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Suppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr?
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
A significant difference in the average amount
Calculate effect size.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
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