Answer:
2 1/6
Step-by-step explanation:
12/ 6= 2+(1/ 6)=2 1/6
1/6
Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt
Answer:
C) If you live in a mansion, then you do not have a small lawn to mow.
Step-by-step explanation:
<u>
Statement is
</u>
-
If you have a small lawn to mow, then you do not live in a mansion.
- "If p then q"
<u>Equivalent statements to the given one:
</u>
-
1. Not p or q
- 2. q or not p
- 3. If not q then not p
<u>Options to identify equivalent statement
</u>
A) If you have a small lawn to mow, then you live in a mansion.
B) If you do not have a small lawn to mow, then you live in a mansion.
C) If you live in a mansion, then you do not have a small lawn to mow.
D) If you do not live in a mansion, then you have a small <u>yard </u>to mow.
Correct answer is option C
