Answer:
a) y = 0, y = 4 and y = 5
b) y ⊂ (- ∞, 0) ∪ (0, 4) ∪ (5, ∞)
c) y ⊂ (4,5)
Step-by-step explanation:
Data provided in the question:
function y(t) satisfies the differential equation:
= y⁴ − 9y³ + 20y²
Now,
a) For constant solution
= 0
or
y⁴ − 9y³ + 20y² = 0
or
y² (y² - 9y + 20 ) = 0
or
y²(y² -4y - 5y + 20) = 0
or
y²( y(y - 4) -5(y - 4)) = 0
or
y²(y - 4)(y - 5) = 0
therefore, solutions are
y = 0, y = 4 and y = 5
b) for y increasing
> 0
or
y²(y - 4)(y - 5) > 0
or
y²
y ⊂ (- ∞, 0) ∪ (0, 4) ∪ (5, ∞)
c) for y decreasing
< 0
or
y²(y - 4)(y - 5) > 0
or
y²
y ⊂ (4,5)
Answer:
Anna is 43 years old and Jacob is 41 years old
Step-by-step explanation:
x + 1 + x + 3 = 92
2x + 4 = 92
2x = 92 - 4
2x = 84
x = 41
Answer:
P (factors of 12) = 5/6
Step-by-step explanation:
The possibilities are 1,2,3,4,5,6
Factors of 12 are 1,2,3,4,6,12
So out of the possibilities rolled
1,2,3,4,6 are factors of 12 (5 of the 6)
P (factors of 12) = 5/6
Answer:
J
Step-by-step explanation:
h = 1.32t + 1.56
Replace t with 4 (days):
h = 1.32(4) + 1.56
Multiply:
h=5.28 + 1.56
Add:
h=6.84
The correct choice is J
<em>*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*</em>
-9/2 = -1/4(-2)+ b
-9/2 = 1/2 + b
Minus 1/2 over
B= -5
Hope this helps!
