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)
We can add the money he spent to the money he had left to find the total.
4.85 + 15.9 + 8.20 = 28.95
He started with 28.95
Answer:
m<1= 128 degree ( being alternate angle)
m<2
= 180degree - 128degree ( being cointerior angle)
=52degree
m<3= 138degree being corresponding angle)
Answer:
a) 0.5588
b) 0.9984
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 24
Standard Deviation, σ = 6.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score between 20 and 30)
b) Sampling distribution
Sample size, n = 22
The sample will follow a normal distribution with mean 24 and standard deviation,
c) P(mean score of sample is between 20 and 30)
