Let C be the counter-clockwise planar circle with center at the origin and radius r>0. Without computing them, determine for the following vector fields\bf Fwhether the line integrals\displaystyle \int_C mathbf F cdot d\mathbf{r}are positive, negative, or zero and type P, N, or Z as appropriate.
A. bf F= the radial vector field =x\mathbf i + y\mathbf j:
B. bf F= the circulating vector field =-y\mathbf i + x\mathbf j:
C. bf F= the circulating vector field =y\mathbf i - x\mathbf j:
D. bf F= the constant vector field =bf i + j:

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step-by-step explanation: ; )

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

answer: need picture of problem

step-by-step explanation:

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: