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1. Write out the question fully like so: =(x-7)(x-7) 2. Expand the brackets using the FOIL method. i.e First Outer Inner Last or the Crab Claw Method You should get: = x^2 - 7x - 7x + 49 Be careful wit...

170 divided by 11 is the weight of one carrot (15.45), so mulitply that by 20 (309.09) would be the weight of 20 carrots.

Differentiating a function, f(x,t) with respect to a varible, such as x or t, tells you rate of change of the fucntion with respect to that varible.  By subbing in a value for x into you differentiated fu...

3cos^2(theta) - 3sin^2(theta) - 5cos(theta) + 2 = 0

3cos^2(theta) + 3cos^2(theta) - 3 - 5cos(theta) + 2 = 0

6cos^2(theta) - 5cos(theta) - 1 = 0

delta = 25 + 24 = 49

cos(theta) ...

(First draw graph of sin(x) and mark 0 and pi and 2 pi) In short, you will need to split up your integral into two parts. One from 0 to pi and one from pi to 2 pi? Can you see/guess why this might be? Fir...