Write the Matrix Equation (AX=B) for the following system of equations.  Then solve using inverse matrices.  You must show the inverse matrix that your calculator gives you. This question should look familiar. I apologize for the formatting issue with the brackets.   There are 4 equations with 4 variables below.  2x+ 9y+ 10z+7w =11   x   -y +   z+  w = -33 x + 2y-11z+2w = 1   x + 3y + 4z+4w = 0

(10 points )   A boat can travel 10mph in still water.   Two docks are located directly across a 1 mile wide river flowing 4mph.  At what angle must the boat point upstream in order to travel directly between the two docks?  How long will the trip take?  Please specify which angle you are referring to in your answer.    

a) 2 pts:  find f(-4) and f(3) b) 3pts: Find the domain of f(x) c) 3pts: Find the range of f(x) d) 3pts: On what interval(s) is f(x) increasing? e) 3pts: On what interval(s) is f(x) decreasing? f) (2pts): Where and what are the local maximums? g) 2pts: Where and what are the local minimums? h) Sketch a graph of  f(x+2) + 2  on your answer document.  i) Sketch a graph of -f(2x) j) Sketch a graph of 2f(x)

If you want to have $7,000 after 25 years – how much should you invest into an account earning 6% interest compounded continuously?    

Let be a point on the graph of

The Diabolical Doubler takes bacteria samples and creates an environment which allows them to follow the law of uninhibited growth until they double in size, after which the diabolical doubler lives up to its name and destroys the bacteria and laughs.  Yes, the machine laughs.  It is that diabolical.  A culture of bacteria that grows at a rate of 4.6% per hour.  How many hours will it take for the bacteria to double in size and allow the world to hear the diabolical doublers’ laugh?  

You read that correctly…the first extra credit questions of the year! Worth 5 points 🙂   Suppose the nth partial sum of a series

Marshallium 172 is a fantastic new element. It has a half life of 20 minutes. A calculator in his basement was found to have 0.01% of its original amount of Marshallium 172.  How old is the calculator?  Be careful with your decimal representation of 0.01%!  

Meegan is a little stressed over an assignment. She just can’t seem to identify an easy way to get this work done, but she’s not one to give up. Finally, she says: “If this way fails, I can always try another method.” This indicates a positive

Jamie is a prize-winning weightlifter who desires to increase the amount of weight she can bench press in a matter of weeks. When a person aims for a goal with a deadline, it can be a source of stress. However, Jamie has enough time to work steadily toward a realistic goal. This is known as “good” stress or