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MATH 54 QUIZ 7-
1. Find the dimension of the subspace H ⊂ R4 given by all vectors of the form
where w, x, y, z are any real numbers.
2. If A is a 3 × 5 matrix, what is the largest possible dimension of Row(A)? What is the largest possible dimension of Nul(A)?
Its true course, however, is at 98 degrees from due north. If the wind currents area constant 55 miles per hour, what are the possibilities for the ground speed of the plane?
If the price of the is $1 per liter and the driver is paid $8 per hour, at what speed between 80km/h and 100km/h is it the most economical to drive?
1. You decide to invest $15000 into a bank account that that is compounding its interest monthly. Assuming the bank is paying out an interest rate of the current prime rate - 1% (In the event that prime - 1% is less than 1%, use 1%), and the in..
question a data set was coded by subtracting 20 from each value and then multiply each difference by 5. the mean and
Write an equation for the hyperbola with vertices at (-5,5) and (5,5) and foci at (-7,5) and (7,5)
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
a restaurant is open 24 hours a day. the manager wants to divide the day into work shifts of equal length. the shifts
What explains grade inflation? Students at almost all colleges and universities get higher grades than was the case 10 or 20 years ago.
Let U, V ⊂ W be subspaces of a finite dimensional vector space W . Define U + V = {w ∈ W | w = u + v, u ∈ U, v ∈ V }. (a) Prove that dim(U + V ) ≤ dim U + dim V .
A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second?
The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
How does a partial derivative differ from an ordinary derivative? When should we use partial derivatives and when should we use ordinary derivatives?
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