Answer:
Step-by-step explanation:
Step-by-step explanation:
By taking ( x = 18°)
<u>L.H.S</u>
cos(3x)=sin(2x)
cos(3x) = cos( 3X18°)= cos (54°)
= cos[ 90° - (2x18°)] ∵[ 90°- (2x18°) = 54°]
= ∴ sin ( 2x18°)
As (x = 18°)
= sin (2x) = R.H.S
Answer:
50.25 cm trust me
Step-by-step explanation:
5.25 cm
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Answer:<em>10,000</em>
Step-by-step explanation:<em>If you divide all the 10,000 to 0 that will give you 10,000.</em>
Answer:
Step-by-step explanation:
Let the quadratic function be
We substitute into the equation to obtain;
We substitute to obtain;
We finally substitute to obtain;
We put equation (2) into equation (1) to get;
We add equation (4) and (5) to get;
We put into equation (5) to get;
The reqiured quadratic function is