Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
2x+15x you can just switch the two.
Answer:
472 3/4
Step-by-step explanation:
Consider the meaning of "one, and one more". That does not mean zero (1-1). Rather, it means two (1+1).
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Then 3/4 and 472 more is ...

Eric has 472 3/4 buckets filled with sand.
_____
The problem statement here seems to be focused on the filled buckets, rather than the sand stockpile that Eric is working from. The amount in that stockpile is being reduced by the amount that is being used to fill buckets. In short, whether you add or subtract depends on what you're trying to figure.
Answer:
hope its correct and does helps u
Multiply the investment fraction by the corresponding return, and add the products. The given fractions add to 59%, so the remainder is 41%. (The total of the fractions is 100%—all of the portfolio.)
... 0.43*9.1% + 0.16*16.7% + 0.41*11.4%
... = 3.913% + 2.672% + 4.674% = 11.259%