For the system of equations, state whether there is one, none, or infinitely many solutions. If there are one or more solutions, give all values of x, y, and z that satisfy the system.
Fill in the blank(s) with the appropriate word(s).
no solution
Mathematics
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = ln(t3 - 5t2 + 4)i - 
j - 8cos(t)k
A. v(0) = - 
j
B. v(0) = 
i - 
j
C. v(0) = 
j
D. v(0) = 
i - 
j + 8k
Mathematics
Find the limit of the sequence if it converges; otherwise indicate divergence.an = 1 + (-1)n + (-1)n(n+1)
A. 3 B. 0 C. 1 D. Diverges
Mathematics
Write the symbolic representation for f(x, y) given that f computes the indicated inequality.The product of x and y2, divided by 
A. f(x, y) = x - 
B. f(x, y) = 
C. f(x, y) = 
- x
D. f(x, y) = x + 
Mathematics
A curve passes through the point (8, 2) and has the property that the slope of the curve at every point P is times the y-coordinate P. What is the equation of the curve?
Mathematics