Y2-y1/x2-x1= -47-(-7)/-19-(-9)= 4
Answer:
5381.6
Step-by-step explanation:
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
Answer:
Volume of emerald = 137.04cm³
Step-by-step explanation:
Given that:
Mass of emerald = 378.24grams
Density of emerald = 2.76grams/cm³
Volume = ?
The equation for this relationship is ρ = m / V in which ρ is density, m is mass (kg or g) and V is volume (cm³ or m³) making the density unit kg/m³ or g/cm³.
Therefore
Density = mass/volume
Volume = Mass/density
i.e
Volume of emerald = Mass of emerald / Density of emerald
Volume of emerald = 378.24grams / 2.76grams/cm³
Volume of emerald = 137.043cm³ ~137.04cm³
Volume of emerald =137.04cm³
Thanks for the question!
9 + 9, 5 + 13, 7 + 11, 3 + 15
Hope this helps!
