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Answer:
Your answer would be 125 cm³
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Step-by-step explanation:
In order to find the volume of a cube, we would need to use the right formula to find the volume for it.
Volume of a cube formula:
For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.
In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.
Lets plug in 5 to our equation.
Now we solve:
This is also the same as:
Your FINAL answer should be 125 cm³
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Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
12•12•12•12•12
Idk what I means but did it help a little?
Answer:
See explanation below
Step-by-step explanation:
When solving a linear inequality, the main difference resides in the following:
When we change the signs of the terms (either from positive to negative or from negative to positive) we have to change the sign of the inequality (if the sign was ≥, we change it to ≤, if the sign was ≤, we change it to ≥). Therefore we have to be more careful while doing this.
