Answer:
2(x - 3)
Step-by-step explanation:
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c = 
∴ c = 
∵ 
= 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
Answer:
Set 1 Angle A is 90
Set 1 Angle B is 45
Set 2 Angle B is 15
Set 2 Angle C is 90
2)
Set 1 Angles A and C are both 62
Set 2 Angles B and D are both 120
Step-by-step explanation:
Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)
