Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.
2 answers:
Answer:
The graph has a domain of all real numbers.
As x is increasing, y is decreasing
Step-by-step explanation:
The given function is
This is the graph of a cubic function that has been reflected in the y-axis, shifted 1 unit right, and shifted up 2 units.
The domain is all real numbers
The range is all real numbers
Y-decreases as x increases
When x=0
When y=0 ,
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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
We are given
total number of particles =4
and
total sum of charge=-36
Since, all the particles have the same charge
and total charge is negative
so, charge on each particle must be negative
now, we can use formula to find change on each particle
charge on each particle = (total sum of charge)/( total number of particles)
now, we can plug values
and we get
The charge on each particle is
units..............Answer