Category: Uncategorized

11. Three forces with magnitudes of 75 pounds, 100 pounds, and 125 pounds act on an object at angles of 25°, 55°, and 120°, respectively, with the positive x-axis.  Find the resulting direction and magnitude of these forces.   Magnitude: [magn] lbs  Direction Angle: [angl]°    Special Notes: Make sure to show all steps of your work.  You may round any decimal answers to the nearest hundredth. 

Find the parameter (put in parametric form): 4pts  10. The line going through point A(14, -5) and point B(8, -12).       Special Notes: Make sure to show all steps, including your equation of the hyperbola in rectangular form for problem 11. 

Give the component form for each of the following, based on the information provided: 3pts    1. Direction: 225°    

7. Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of 30° and -45°, respectively with the x-axis.  Find the direction and magnitude of the resultant of these forces.     Magnitude: [mag] Direction: [dir] **You may use decimals.  Simply round to the hundredths place please.   **I should see work here.

Simplify the factorial expression:

Find the magnitude and direction angle of each vector: 4pts    4.

Determine if the following sequences are geometic. If they are, find the common ratio, the term named in the problem, and the explicit formula. If not, simply type “not geometric” in each blank. -3, 9, -27, 81, …   Is the sequence geometric? [yesorno3]  If yes, state the common ratio: [r] If yes, find = [term8] If yes, state the explicit formula: = [explicitgeo]     -1, -2, -6, -24, … Is the sequence geometric? [yesorno4]  If yes, state the common ratio: [rnope] If yes, find = [term7] If yes, state the explicit formula: = [explicitnongeo]  

Please upload a single pdf of your work for questions 4 – 11.  You work should be clear and legible. 

7. Write an algebraic expression that is equivalent to the expression:

11.  Reed is trying to find the height of a building.  From one position the angle of elevation from Reed to the top of the building is 30°.  If Reed walks 200 feet closer the angle of elevation is 45°.  What is the height of the building?   Special Notes: Answers should be fully simplified fractions. NO decimals. Please enter your answer using the “insert math equation” option on the toolbar. I should see work for this problem. You may NOT use a calculator on this quiz.