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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...

Depending on what you prefer, you can either substitute or you can try to solve this by elimination. I'll explain both. 1) x - 2y = 1 2) x² - xy +y² = 1 If solving by elimination, yo...