Show that F is conservative and find a function f such that F = ?f, and use this result to evaluate , where C is any path from .


Mathematics

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Sketch the graph of the function. Describe how the graph can be obtained from the graph of a basic logarithmic function.f(x) = log6(x - 5)

A. Shift y = log6x right 5 units

B. Shift y = log6x left 5 units

C. Shift y = log6x right 5 units

D. Shift y = log6x left 5 units

Mathematics

Find the indicated term of the arithmetic sequence., . . . ;20th term

A. - 
B. - 1
C. - 
D. - 

Mathematics

Perform the indicated operation.Subtract (12x + 3) from (-5x2 - 6x + 3).

A. -5x2 + 6x + 6 B. -5x2 - 18x C. 5x2 + 18x D. -5x2 - 18x - 6

Mathematics

The matrices  and  are inverses of each other. Use this fact to solve the system  .

What will be an ideal response?

Mathematics