5751

Mathematics Integration Level: Misc Level

Find the points of local maxima and minima (if any) of the following function. Also find the local maxima and minima values

f(x)=\frac{1}{x^{2}+2}




5750

Mathematics Integration Level: Misc Level

Find the points of local maxima and minima (if any) of the following function. Also find the local maxima and minima values

f(x)=\frac{x}{2}+\frac{2}{x}, x>0




5749

Mathematics Integration Level: Misc Level

Find the points of local maxima and minima (if any) of the following function. Also find the local maxima and minima values

f(x) = 2x3 -6x2 + 6x + 5




5748

Physics Heat & Thermodynamics Level: Misc Level

Given:o =5.6696 x10^-8 W/m^2x K^4: An unclothed student is in 21 * C room If the skin temperature of the student is 37*C ,how much heat is lost from his body in 15 min, assuming that emissivity of the skin is 0.8 and the surface area of the student is 1.6 m^2. Answer in units of J.




5747

Mathematics Integration Level: Misc Level

Find the turning points of function f(x) = 4x3 + 19x2 - 14x + 3 amd distinguish between them. Also find the local maximum and the minimum values of the function.




5746

Physics Rotational Mechanics Level: Misc Level

Using the laws of momentum and energy show the initial velocity of a ballistic pendulum is given by \frac{(M+m))}{m}\sqrt{2gh}




5745

Mathematics Integration Level: Misc Level

Find the (absolute) maximum and the (absolute) minimum values of the following function in the indicated intervals. Also find the points of (absolute) maxima and minima

f(x) = 3 + |x+1| in [-2,3]




5744

Physics Force & Laws Of Motion Level: Misc Level

The coefficient of kinetic friction between the block and the table is 0.506, and m 1 =0.150 kg hanging on the left side of the table and m3 =0.250 kg hanging on the right side of the table what should m2 on the table be if the system is to move at a constant speed?If m2 were to be 0.100 kg what would the magnitude of the acceleration of the system be?




5743

Physics Kinematics Level: Misc Level

It takes 0.210 s for a dropped object to pass a window that is 1.35 m tall. From what height above the window was the object released?




5742

Mathematics Integration Level: Misc Level

Find the (absolute) maximum and the (absolute) minimum values of the following function in the indicated intervals. Also find the points of (absolute) maxima and minima

f(x) = Sin x + Cos x in [0,\pi]




5741

Mathematics Integration Level: Misc Level

Find the (absolute) maximum and the (absolute) minimum values of the following function in the indicated intervals. Also find the points of (absolute) maxima and minima

f(x)=\left ( \frac{1}{2}-x \right )^{2}+x^{3} in [-2,2.5]




5740

Mathematics Integration Level: Misc Level

Find the (absolute) maximum and the (absolute) minimum values of the following function in the indicated intervals. Also find the points of (absolute) maxima and minima

f(x) = (x-1)2 + 3 in [-3,1]




5739

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function 

f(x) = Sin 2x + 5

 




5738

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function

f(x) = |x + 2| - 1




5737

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function

f(x) = - (x-1)2 + 10


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