Answer:
y(3y - 4)
Step-by-step explanation:
Both have y.
Factor y out of
Answer:
dy/dx = e⁻²ᵗ (1 − t)
d²y/dx² = -e⁻³ᵗ (3 − 2t)
(1.5, ∞)
Step-by-step explanation:
x = eᵗ
y = te⁻ᵗ
dx/dt = eᵗ
dy/dt = -te⁻ᵗ + e⁻ᵗ
dy/dt = e⁻ᵗ (1 − t)
dy/dx = (dy/dt) / (dx/dt)
dy/dx = e⁻ᵗ (1 − t) / eᵗ
dy/dx = e⁻²ᵗ (1 − t)
d²y/dx² = d(dy/dx)/dt / (dx/dt)
d²y/dx² = (-e⁻²ᵗ − 2(1 − t) e⁻²ᵗ) / eᵗ
d²y/dx² = -e⁻²ᵗ (1 + 2(1 − t)) / eᵗ
d²y/dx² = -e⁻³ᵗ (3 − 2t)
The function is concave up when the second derivative is positive. -e⁻³ᵗ is always negative, so the second derivative is positive when 3 − 2t is negative.
3 − 2t < 0
3 < 2t
t > 3/2
Or, in interval notation, (1.5, ∞).
As there is no sample expressions which could be the given answer we will solve it by the equation
(amount of time it takes to complete one round)*(number of rounds completed)=
We know that it took Samantha 1.52 minutes to go around once and assume that she continues this pace for 3 rounds. To solve for this we plug in our numbers into our equation.
1.52*3=<span>4.56</span> minutes to complete 3 rounds.
Does that answer your question?
Make it y = mx + b
Subtract 7x to both sides
7x - 7x + y = 3 - 7x
Y = -7x + 3
The slope is -7, the y intercept is 3
The answer is 6x+12. Have a GREAT day!!!! :)
