cliffton m. fischbach|Let f be a differentiable function such that f(3)=15, f(6)=3, f (3 ...,alvord hot springs

Since f(π) = π^2 < 100, f(10π) = 100π^2 > 100, and f is continuous on thecliffton m. fischbach closed interval [π, 10π], the intermediate value theorem ensures the existence of a number c in (π, 10π) such that f(c) = 100.

The temperature f(t) of the body at time t in hours after being introduced to an environment having constant temperature T 0 is f(t)=T 0 +Ce-kt where C and k are constants.. A cup of coffee with temperatures 125 degree F is placed in a freezer with temperature 0 degree F.

As we are evaluating from 0 to 4, x will be evaluated at 4i/n for i = 1 to n. f(x i) = (4i/n) 2 /3 - 6. ∑ 1 n 4/n ((4i/n) 2 /3 - 6) =. 4/n ((16/(3n 2)n(n+1)(2n+1)/6 - 6n) = 64/9 + 32/(3n)+ 32/(9n 2)- 24= -152/9 + 32/(3n) + 32/(9cliffton m. fischbachn 2). The limit as n goes to infinity is -152/9

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