I know that max/min are when f'(x)=0 so
a) f'(x)=-2sin(x)+2cos(2x) and
-2sin(x)+2cos(2x)=0
-sin(x)+cos(2x)=0 and cos(2x)=1-2sin^2(x)
so -sin(x)+1-2sin^2(x)=0
2sin^2(x)+sin(x)-1=0
so (2sinx-1)(sinx+1)=0
so sin(x)=1/2 or sin(x)=-1
giving x=π/6 on [0,π/2]
f"(x)=-2cos(x)-4sin(2x)
= -√3-2√3
f''(x)...
Okay, so first i have to differentiate both sides with respect to time:
P(dV/dt) + V(dP/dt) = R(n(dT/dt) + T(dn/dt))
We're told that dP/dt = -0.3 atm/min, n = 2, P = 5 atm, V = 15 L, dV/dt = 0.6 L/min:
Plugging all this in:
(5 atm)(0.6 L/min) + (15 L)(-0.3 atm/min) = (8.314...
(a) The half-life of morphine in the bloodstream is 3 hours. Suppose that there's
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Im stuck on this question! so can someone please please help me? Thank you!
A tightrope is 40 ft above ground between two buildings that are 60 feet apart. A
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The ideal gas law states that PV = nRT where P is the pressure in atmospheres, V
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4)Find the absolute minimum and absolute maximum values of f on the given interval.
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Thanks again in advance!
Suppose the concentration of a drug in the blood stream exponentially decays and is
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Thank you SO much for your time and help! Can you please help me out with my other calculus-related questions on yahoo answers that i posted recently? Thank you!