Answer: 2
Step-by-step explanation:
Answer:
45. B, 9 + 0 = 9
46. D. 9 x 1 = 9
47. D. 0
48. B. 1/6 x 6 = 1
49. A
Step-by-step explanation:
False, vertical angles are not next to each other but opposite of each other
M=(y2-y1)/(x2-x1)
m=(-4-4)/(3-1)
m=-8/2
m=-4
so the answer should be first one
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
