The answer is D. The bottom number is multiplied by two each time.
Answer:
1.62533254
Step-by-step explanation:
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)
Percentages are used to show the fraction of a thing. For example, if 5 students out of 20 like math, the percentage is 5/20 x 100= 25%
<h3>What is a Percentage?</h3>
This refers to the number of ratios that is described as a fraction of 100 and is denoted by the sign %.
Hence, we can see that although your question is incomplete, I gave you a general overview of percentages for a better understanding of the concept.
Read more about percentages here:
brainly.com/question/16865197
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Question 1:
Multiply the regular price by the number of people (x)
Y = 25x
Question 2:
Multiply the special rate by number of people(x) and add the cost of the room:
Y = 15x + 150
Question 3:
Replace x with a positive value and solve for y, which will be larger than the x value
Answer (15,375)
Question 4:
This means for 15 people the total cost for the special rate would be $375
