Problem 1. Let u→=-1,-2,4{“version”:”1.1″,”math”:”u→=…

Problem 1. Let u→=-1,-2,4{“version”:”1.1″,”math”:”u→=-1,-2,4″} and v→=-5,6,-7{“version”:”1.1″,”math”:”v→=-5,6,-7″} be vectors. Part (a) (5 points) Find 2u→-v→{“version”:”1.1″,”math”:”2u→-v→”} Part (b) (5 points) Find u→{“version”:”1.1″,”math”:”u→”}, the magnitude of u→{“version”:”1.1″,”math”:”u→”} Part (c) (5 points) Find the unit vector in the direction of u→{“version”:”1.1″,”math”:”u→”} Problem 2. Let u→=2,2,-1{“version”:”1.1″,”math”:”u→=2,2,-1″} and v→=1,2,2{“version”:”1.1″,”math”:”v→=1,2,2″} be vectors. Part (a) (5 points) Find the dot product u→·v→{“version”:”1.1″,”math”:”u→·v→”} Part (b) (5 points) Find the cross product u→×v→{“version”:”1.1″,”math”:”u→×v→”} Part (c) (5 points) Find the angle between the two vectors u→{“version”:”1.1″,”math”:”u→”} and v→{“version”:”1.1″,”math”:”v→”} Problem 3. (15 points) Find an equation of the line L{“version”:”1.1″,”math”:”L”} passing through the points P(1,1,2){“version”:”1.1″,”math”:”P(1,1,2)”} and Q(1,-1,3){“version”:”1.1″,”math”:”Q(1,-1,3)”}, and then find the distance between the point R(0,0,5){“version”:”1.1″,”math”:”R(0,0,5)”} and the line L{“version”:”1.1″,”math”:”L”}. Problem 4. (15 points) Find an equation of the plane passing through the points P(1,-1,0){“version”:”1.1″,”math”:”P(1,-1,0)”}, Q(2,2,1){“version”:”1.1″,”math”:”Q(2,2,1)”}, and R(-1,-2,-1){“version”:”1.1″,”math”:”R(-1,-2,-1)”}. Problem 5. Consider the vector-value function r→(t)=t2,et,sint{“version”:”1.1″,”math”:”r→(t)=t2,et,sint”}. Part (a) (5 points) Find limt→0r→(t){“version”:”1.1″,”math”:”limt→0r→(t)”} Part (b) (5 points) Find the derivative of r→(t){“version”:”1.1″,”math”:”r→(t)”} Part (c) (5 points) Find ∫r→(t)dt{“version”:”1.1″,”math”:”∫r→(t)dt”} Problem 6. (10 points) Find the arch length of the curve   r→(t)=2sint,2cost,t{“version”:”1.1″,”math”:”  r→(t)=2sint,2cost,t”} with 1≤t≤3{“version”:”1.1″,”math”:”1≤t≤3″}. Problem 7. (15 points) Consider the curve r→(t)=t,t2,4{“version”:”1.1″,”math”:”r→(t)=t,t2,4″}. Find the unit tangent vector T→{“version”:”1.1″,”math”:”T→”} and the curvature at t=0{“version”:”1.1″,”math”:”t=0″}. Once you are done, take photos of your handwritten work, convert it into a pdf, and then send your work to your instructor within ten minutes after you hit the submit button on the exam. You can either sent it to the instructor via D2L messages or to the following email address            collier.gaiser@ccaurora.edu

Segmented viruses are capable of undergoing genetic reassort…

Segmented viruses are capable of undergoing genetic reassortment when they infect a host cell.  A.  Explain how genetic reassortment can occur to cause antigenic shift in a virus.  B.  This is the process that can produce unique viruses such as the H1N1 strain of Influenza that contains human, avian, and swine influenza genetic material.  Why are these new viruses such a threat to us?