Find the unit tangent, principle unit normal, and binormal vectors of the described curve. Give answers in simplest form.  r(t) =

Part Four: Material from Exam #4 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper. 

Write the equation of the line that is normal to the plane 4x – y + 3z = 19 and passes through the point (5, 3, -1). 

To the nearest degree, find the angle between the vectors: v = -i + 3j + k w = 2i + j + 4k

Part One: Material from Exam #1 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper.     

Part Three: Material from Exam #3 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper. 

True or False: A p-series always converges. 

If an does not converge to 0, then 

Determine the interval of x-values for which the series converges: 

Without completing the square, identify the graph whose equation is  10×2 – 5y2 – 14x + 6y + 41 = 0 The graph of the equation is a .