Answer:yes the answer is B
Step-by-step explanation:
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negtive slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upwawrd so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side oof x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 butt there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
Answer:
PR=71
Step-by-step explanation:
visualize:
P Q R
O-------------O-------------O
13 58
so if PQ + QR = PR, than 13+58=PR
13+58=71
PR=71

is conservative if we can find a scalar function
such that
. This would require



Integrating both sides of the first equation wrt
gives

Differentiating both sides of this wrt
gives

but we assumed
was a function of
and
, independent of
. So there is no such
and
is not conservative.
To find the work, first parameterize the path (call it
) by

for
. Then

and the work is given by the line integral,

