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Question: Solve the given problems. Refer to Appendix B for units of measurement and their symbols.
A complex number is defined a+ bj, as where and are real numbers j = √(-1) and For what values of and is the complex number a real number? (All real numbers and all imaginary numbers are also complex numbers.)
APPENDIX B Units of Measurement; The Metric System
A jet travels 1686 mi against the wind in 3 hours and 2136 with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind?
An office building worth 6 million dollars when it was completed in 2005 and is being depreciated linearly over 30 years. what is the rate of depreciation and what will be the book value in 2015?
Give an example of two 4x4 nilpotent matrices which have the same minimal polynomial (they necessarily have the same characteristic polynomial) but which are not similar.
Find an expression for g(x) similar to the one for f(x). Sketch the graphs of f and g. Where is f differentiable? Where is g differentiable?
During March, two cars are sold for $9,000 each. Sam determines that at March 31, the $9,750 car is still on hand. What is Sam's gross profit for March?
The number of dimes is 1 less than twice the number of quarters. How many of each denomination are there?
Find the equation of the tangent line to the curve y = 2x3 - 5x at the point where x = -1. If y3x = (sin x)(e2x). Find dy/dx
Obtain the system of equations whose solutions give the pressure distribution in the reservoir at the end of 10 days. Use a time step of 5 days to generate the system of equations
the cost of laying pipe is $400,000/km to run pipe over land to a point P on the north bank of the river and then $800,000/km to run pipe under the river to the tanks. where should the point P be located?
Find the average: Ages of patients (in years) in a clinic: 19, 8, 21, 19. (Round to the nearest whole number)
Why did Chavez decide to nationalize Cargill? Do you think he was justified?If you were the executive of Cargill, what would you do?
If a ball is thrown straight up into the air with an initial velocity of 45 ft/s, it height in feet after t second is given by y=45t-16t2. Find the average velocity for the time period begining when t=2 and lasting.
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