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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

Which of the following diseases is caused by a virus that can become latent and cause disease later in life?

All viruses can cause cancer.

Why is a virus called an “obligate intracellular parasite?”

Which of the following is true of how a virus can cause cancer?

Retroviruses like HIV must carry __________________ in the virus particle to convert their RNA into double stranded DNA once in the host cell.

Viral genomes consist of

What program must a funeral home register with to ship human remains via commercial airlines?

A second degree burn of the skin will cause damage to:  ____ (select all that apply / partial credit with penalty)

Part 1   What color is melanin?  __________________    (worth 1.0 pt)  — Part 2   How does melanin protect us?  __________________________________    (worth 4.0 pts)             — Use a complete sentence.        Note:  “dark”  is not a color, dark describes a shade of a color, such as dark blue, dark red or dark green.   I do not accept “dark”  as a color for melanin.