Recent content by ayahouyee

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)...

before a0e^-k after a0e^-k2 is that right?

DT/dt = 250/4157P(DP/dt) + 250/4157(DV/dt) is that right?

can you please give me a hint on how to start because honestly i don't know where to start? :((

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 initially 0.4 mg of morphine in the system, how long does it take until there's only 0.01 mg of morphine remaining in the bloodstream? (b) Suppose that there is initially x0 (0 is a subscript) grams of Kool-Aid...

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 tightrope walker starts along the rope and walks from building A to building B at a rate of 2 feet per second. 80 feet above the starting...

The ideal gas law states that PV = nRT where P is the pressure in atmospheres, V is the volume in litres, n is the number of moles, R = 8.314 L
atm/K
mol is the gas constant, and T is the temperature in Kelvins. Suppose that at a specific instance that two moles of gas is under 5 atmospheres of...

4)Find the absolute minimum and absolute maximum values of f on the given interval. a) f(x) = 2cos (x) + sin (2x) on [0, π/2] b) f(x) = x^2 +16/x on [1, 3] Thanks again in advance!

Suppose the concentration of a drug in the blood stream exponentially decays and is given by c(t) = a0e^-kt (0 is a subscript) where t is the time elapsed and a0 is the initial concentration after one dose. Further assume that doses of the drug are administered at time intervals of T. (a) After...

Thanks! I just made a new thread with my questions :D

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!