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Suppose A is a 4 X 4 matrix and b is a vector in R4 with the property that Ax = b has a unique solution. Explain why the columns of A must span R4.
An office employs 5 women and 5 men. During break time, the workers go one at a time into the coffee lounge in some random order.
Given f(x, y) = √((x2/4) + 9y2 - 1). Find the tangent plane at (2, 1, 3). Calculate the differential for dx = dy = 0.1 and 1.
how do question content and wording response strategy and preliminary analysis planning affect question construction?
Calculate the second-order partial derivatives.
The percentage score on a test varies directly as the number of correct responses. Rita answered 24 questions correctly and earned a score of 60%. What would her percentage score have been if she had answered 34 questions correctly?
(a) If a sample has a mass of 200 mg find a formula for the mass that remains after t days. (b) Find the mass after 100 days. (c) When will the mass be reduced to 10 mg?
The first car has consumed 35 gallons during that week, and the second has consumed 40 gallons, for a total of 2050 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?
A square's side is increased by 3 yards, which corresponds to an increase in the area by 81 square yards. How many yards is the side of the initial square?
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
Find the probability of an alarm.
finding the displacement yxt to the string at any point at any subsequent time described by a function .a semi infinite
In calculus, the function f(x) = e^(-x^2) is always given as an example of a function that "you cannot integrate" because one cannot guess an elementary function F such that F'(x) = e^(-x^2). Find a power series for F.
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