F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
X^2-10x-24=0
(x+2)(x-12)=0
x=-2 or x=12
12+2+8+6+57=85
85/5= 17
mean=17
Answer: About 83915 grams
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25/100 = 1/4 (divide both numerator and denominator by 25)
350/1000 = 35/100 = 7/20.