The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = e7ti + (8 + e-7t)j + (10 cos 8t)k

A.
B.
C.
D. 0

Answer: B

Mathematics

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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.

A. PV = ; PT =  - 
B. PV = -  + ; PT = 
C. PV =  - ; PT = 
D. PV =  - ; PT = 

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Mathematics

3.2 ð 106 + 2.71 ð 105 =

a. 3.47 ð 106 b. 5.91 ð 1011 c. 5.91 ð 106 d. 5.91 ð 105 e. 3.47 ð 104

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Mathematics

Find all solutions of the equation. Express the solution in radians.cot x = 

A.  + n?
B.  + n? or  + n?
C.  + n?
D.  + n? or  + n?

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Mathematics

Solve the system by graphing. ? ? ?

A.
B.
C.
D.
E. inconsistent

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Mathematics