Answer:
dy/dx = (1 / x^3 + x) × (3x² + 1) × (1/2)
Step-by-step explanation:
y = log[ x² × √(x² + 1) ]
y = log[ √(x(x² + 1)) ]
y = log[ √(x^3 + x) ]
y = log[ √(x^3 + x) ]
Now, let a = √(x^3 + x)
Then y = log(a)
Find dy/da.
y = log(a)
dy/da = (1 / a)
dy/da = (1 / √(x^3 + x))
Find da/dx using chain rule.
a = √(x^3 + x)
Let b = x^3 + x, then a = √b
da/dx = (db / dx) × (da / db)
da/dx = (3x² + 1) × (1/2)× (b)^(-1/2)
da/dx = (3x² + 1) × (1/2)× (x^3 + x)^(-1/2)
Finally, find dy/dx using chain rule.
dy/dx = (dy/da) × (da/dx)
dy/dx = (1 / √(x^3 + x)) × (3x² + 1) × (1/2)×
(x^3 + x)^(-1/2)
dy/dx = (1 / (x^3 + x)) × (3x² + 1) × (1/2)
Answer:
A is correct
Step-by-step explanation:
2 ^-3 is equal to 0.125
A is also equal to 0.125
To solve this equation, the first thing to do would be to simplify. Look at the steps shown below.
(To make things easier, I will be writing 1/2x as 0.5x)
First isolate x my moving the variables to one side of the equation and the numbers to the other. Please note that when you move them this way, the number or variable must become the opposite of what it currently is for the equation to remain true. The equation will now look like;
We know that 2 * 7 is 14. Since we have two hales, this creates a whole.
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The answer is A.
Answer:
x ≥ 5y
y ≤ 25
x ≤ 200
Step-by-step explanation:
It is given that Trisha wants to use at least 5 times as many key chains as thumb drives.
x represents the number of key chains and y represents the number of thumb drives.
Therefore, x ≥ 5y.
Total number of thumb drives is 25.
Therefore, y ≤ 25.
Total number of key chains is 200.
Therefore, x ≤ 200.
Answer:
their are different sizes of soup bowls
