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
396 divided by 12 will be 33
Answer:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
Step-by-step explanation:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
I would say B is the best choice.
2+3/5+1 1/4=3.85
3.85 pounds is the total weight.
