I could not get it to work with all of those numbers. The only number that caused an issue was 29. I used 28 instead and it worked. I'm not sure if 29 was a typo, but I couldn't get 29 to work.
A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2
1 answer:
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Answer:
Step-by-step explanation:
Given is an equation in x and y as
We use implicit method to differentiate the above equation
18x-2yy'=0
y' = 9x/y
b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
We separate the variables as
Take square root
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
