It is located at quadrant 2. Quadrant one is the top right side. Quadrant three is the bottom left side. Quadrant four is the bottom right side.
The y represents the distance, remember time is the independent variable and distance is the dependent variable.
Another tip, when you see the title, such as distance vs time squared. The first term in the title always goes for the y axis and the second goes for the x axis.
I hope this answers your question!
The answer to the problem is 12-6x
Answer:
48
Step-by-step explanation:
Given,
x = - 1
y = 2
To find : The value of 3x - 4 ⋅ xy² ?
Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².
3x - 4 ⋅ xy²
= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²
= - 3 - 4 ⋅ - 1 ( 4 )
= - 12 ⋅ - 4
= 48
Note : -
When a negative number gets multiplied with a negative, the resulted number is a positive number.
Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
