During 4 days, the price of the stock of PEV Corporation went up 1/4 of a point, down 1/3 of a point, down 3/4 of a point, and u
1 answer:
The price of the stock of PEV Corporation varies as shown. we have to determine the net charge. Net change is just how much it changed overall, so we will look for all the ups minus all the downs.
Here, "went up" goes with a + sign, and "went down" goes with a - sign.
So, Net charge =
=
=
=
LCM of 2,3 and 10 is 30
=
=
=
So, the net charge is
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This question is incomplete, the complete question is;
Suppose u and v are functions of x that are differentiable at x=0
and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
Find the values of the following derivatives at x = 0.
a) ( uv )
b) (
)
c) (
)
Answer:
a) ( uv ) = -23
b) (
) = 33
c) (
) = -32/49 or - 0.6531
Step-by-step explanation:
Given that;
{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
a)
( uv )
we differentiate
( uv ) = uv' + vu'
at x = (0), we substitute our values
( uv ) = ( 7 × -4 ) + ( -1 × -5)
( uv ) = -28 + 5
( uv ) = -23
b)
(
)
we differentiate
(
) = ( vu' - uv' ) / v²
at x=0, we substitute our values
(
) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²
(
) = (( 5 - ( -28 )) / 1
(
) = 33 / 1
(
) = 33
c) (
)
we differentiate
(
) = ( uv' - vu' ) / u²
at x=0, we substitute our values
(
) = ( (7 × -4) - (-1 × -4) ) / (7)²
(
) = ( -28 - ( 4 ) ) / 49
(
) = ( -28 - 4 ) /49
(
) = -32 / 49
(
) = -32/49 or - 0.6531