Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
Answer:
Decimal: 5.567764)
Step-by-step explanation:
Decimal: 5.567764)
The answer would be 17 because 59 - 30 = 29 and 29 - 12 =17
Lines A and B are parallel. Lines A and B apre perpendicular to Line C.
Change all of the lines from standard form to slope-intercept.
Line A: y = 4/3x + 2/3
Line B: y = 4/3x + 2
Line C: y = -3/4x + 1
Since A and B have the same slope they are parallel. C has a negative reciprocal so it's perpendicular.
Answer:
V = 24 m³
Step-by-step explanation:
The given question says that, 'Calculate the volume in cubic meters of a pool that is 8 m long, 2 m wide and 1.5 m deep'.
A pool is in the shape of a cubiod. The volume of the cuboid is given by :
V = lbh
Where
l is length, b is width and h is height
Put all the values,
V = 8 × 2 × 1.5
= 24 m³
So, the volume of the pool is equal to 24 m³.
