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use the notation of Example 1 for matrices in echelon form. Suppose each matrix represents the augmented matrix for a system of linear equations. In each case, determine if the system is consistent. If the system is consistent, determine if the solution is unique.
A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a 18) loss (due to bad weather, strikes, and such) of $4000 with a probability of 0.3. What is the expected profit?
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
the legs of a right triangle have the lengths of 7 and 24. the bisector of the right angle divides the hypotenuse into
Find the integral. Complete the square if necessary. ∫(2x-3)/sqrrt(4x-x^2)dx. I am mainly unsure about what to do with the numeratir, (2x-3) Thanks.
Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
For the series n=1Σ∞1, find a formula for the partial sums SN, the limits limn→∞ an and limN→∞ SN, and determine whether the series converges or diverges.
Recall that this sample statistic is meant to approximate the population parameter. For a 95% confidence level, what is the margin of error for this poll?
A tanker that delivers gasoline to gas stations had 1400 gal of gasoline when it was. 7. 8 full. How much could the tanker hold when it is full?
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
question angles def and angle abc are supplementary angles and angle def is seven times as large as angle abc.
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
First rewrite the equation as f(x) = g(x) where
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