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(1) Let a = (2.6, 4.7)T. Consider the floating-point algorithm with 3 digit rounding.
a) Compute fl(aTa).
b) Compute fl(aat).
c) Compute the Householder matrix Q generated by a as a 2x2 array. (Remember to round each computation to 3 digit)
d) Compute QTQ and ||QTQ - I||, here ||·|| is the matrix norm induced by the vector 1-norm.
Use polar coordinates to find the volume of the given solid.
Approximate the required work by a Riemann sum.
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A plane flies at a average speed of 300 miles per hour. The expression 300t gives the distance traveled by the plane in t hours. find the distance traveled by the plane in 8 hours.
ow pitch softball diamond is actually a square 61 ft on a side. How far is it from home to second base?
A rectangular trench is to be dug which is to be 180 ft long, 90 ft wide and 8 ft deep. A large dump truck can carry 20 cubic yards in a load. How many truck loads will be required to remove the dirt from this trench?
question a park in a subdivision is triangular-shaped. two adjacent sides of the park are 533 feet and 525 feet. the
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
In your own words, explain what the nth root of a number represents. What happens when this value is raised to the nth power? Give an example.
variation exists in virtually all parts of our lives. we often see variation in results in what we spend utility costs
Compute the Initial Value Problem, Let G be a bipartite graph partitioned into vertex sets V and W. Assume all vertices have the same degree. Show G has a perfect matching.
A recent study conducted by the government attempts to determine proportion of people who support further increase in cigarette taxes. State the null and alternative hypotheses and compute the p-value
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