Answer:
Step-by-step explanation:
Given
Required
Determine the rate of change.
From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.
This charge represent the rates at which the fee changes on a daily basis.
Hence:
Answer:
150:200
Step-by-step explanation:
You can simplify it too. 3:4
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
You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
Answer is B
The formula of a distance between two points:
We have the points (-1, -3) and (-9, 2). Substitute:
<h3>Answer: d = √89</h3>
