Consider the series
?
.
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Determine whether the geometric series converges or diverges.  
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If it converges, find its sum.

What will be an ideal response?


converges; 

Mathematics

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If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time.s = 7t3 - 5t2; t = 7

A. 994 B. 1043 C. 1019 D. 959

Mathematics

Determine the size of matrix A and tell whether it is a square matrix, row matrix, column matrix, or none of these.A = [8]

A. 0; square matrix B. 0 × 0; none of these C. 1 × 1; square matrix D. 1; none of these

Mathematics

Solve the equation.97x+3 = 27

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the focus and the directrix of the parabola.x2 - 4x - 4y - 4 = 0

A. Focus: (2, -1); directrix: y = -3
B. Focus: (2, -3); directrix: y = -1
C. Focus: (2, -1), directrix: y = - 
D. Focus: (2, 2); directrix: y = 6

Mathematics