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The line of intersection will be parallel to both planes. We can write the equations of the two planes in 'normal form' as r.(2,1,-1)=4 and r.(3,5,2)=13 respectively. We can then read off the normal vecto...

Resistance is due to the collision of free electrons with the metal ions of the conductor. When the temperture increases, the metal ions have more energy and vibrate. This increases the frequency of colli...

f(x) = 3x^3 + 2x^2 - 8x + 4

f(2) = 3(2)^3 + 2(2)^2 - 8(2) + 4

f(2) = 3(8) + 2(4) - 8(2) + 4

f(2) = 24 + 8 - 16 +4

f(2) = 20

Vertical transmission occurs during asexual reproduction. During the cell cycle, a bacterium will replicate its DNA (found in the form of a circular plasmid) which will contain the gene for antibiotic res...

The nominative is the case (the form of the noun) used to mark the subject of the verb.  That's the person or object (or anything) which is carrying out the action of the verb: the do-er.  In the sentence...