Solve the problem.Under standard conditions, molecules of a gas collide billions of times per second. If each molecule has diameter t, the average distance between collisions is given by where n, the volume density of the gas, is a constant. Find .

A.  = - 
B.  = 
C.  = - 
D.  = 


Answer: C

Mathematics

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Find the Jacobian  or  (as appropriate) using the given equations. 

A. 42u2 B. 42v2 C. 84u2 D. 84v2

Mathematics

Use a calculator to approximate the area of the surface generated when the given curve is revolved about the x-axis. Round to two decimal places when necessary.y = sinx on  

A. 1.15 B. 7.65 C. 13.39 D. 5.1

Mathematics

Solve the problem.A rocket follows a path given by  where distances are in miles. If the horizontal velocity is given by  find the magnitude of the velocity when the rocket hits the ground (assume level terrain) if time is in minutes.

A. 340 miles/minute B. 40 miles/minute C. 150 miles/minute D. 20 miles/minute

Mathematics

Find the root. Assume that variables represent any real number.

A. 11x
B. -11
C. 11
D. 121x

Mathematics