Answer:
y" - 8y' + 15y = 0
2nd order Homogeneous DE.
Solving Quadratically
k² - 8k + 15 = 0
k= 5 or k= 3.
Two real and Unequal roots.
y= Ae^5x + Be^3x.
Answer:
Step-by-step explanation:
∠6 = 45 {Vertically opposite angles are equal}
∠6 + 5x + 35 = 180 {Co interior angles}
45 + 5x + 35 = 180 {add like terms}
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 100/5
x = 20
5x + 35 = 5*20 + 35 = 100 + 35 = 135
∠8 = 5x + 35 { Corresponding angles}
3) ∠8 = 135
4) ∠ 3 = ∠6 {Alternate interior angles are equal}
∠3 = 45
5) ∠6 = 45
Answer:
Step-by-step explanation:
The journey began at 10:00 . The distance moved from this time is 110 miles. The cruise control is always set at 55 miles per hour. This means 110 miles was covered driving at a speed of of 55 miles per hour.
Speed = distance/ time
Time = distance/speed
Time at which 110 miles was covered will be 110/55 = 2 hours
So at 12:00 o'clock, I have covered 110 miles.
I then get hungry and take an hour break to eat lunch. After eating lunch for one hour, I resumed the journey at 13:00.
I drove 165 miles after the break.
The time taken to drive 165 miles
= distance / speed
= 165/55 = 3 hours
Total hours spent is 2 hours before the break + 1 hour break + 3 hours after the break = 6 hours
The trip ended at 16:00