82.2
Add all of them up and then divide by 10.
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: This is possible because of the total of matches played. If the Badgers have won a greater percentage of their games than the Cougars, it means that they played less games.
Step-by-step explanation: The percentage of games won is related to the total number of games played. For example, let's suppose that the Badgers played 10 games, won 6 and lost 4, they won 60% of their games. If the Cougars played 12 games, won 6 and lost 6, their percentage is 50%. This way, they have the same number of wins but different percentages.
The answer to your question is: Yes, I can.
You haven't asked for the trigonometric expression, but here it is anyway:
The <u>cosine</u> function is the reciprocal of the secant function.
