Answer:
x = 5 cos 2t
Step-by-step explanation:
given equation
x'' + 4x = 0 ; x(0) = 5, x'(0) = 0
L{ x'' + 4 x } = 0
L{x''} + 4 L{x} = 0
s² . L(x) - s . x(0) - x'(0) + 4 L{x} = 0
( s² + 4 ). L(x) - 5 s = 0
L(x) =
= cos at
so,
x = 5
x = 5 cos 2t
This is a right triangle, so first find the distance between the two legs...
Points where the numbers are the same indicate a point that is on the same axis as the other
(-3, 3) and (-3, 2) have a distance of 1
(-3,2) and (1,2) have a distance of 4
The area formula for a triangle is 1/2bh and in this case 1/2(1)(4) = 2
The area is 2
Hello :
<span>f(x) ×g(x) = (3x-5)(x+2)
= 3x²+6x-5x-10
</span>f(x) ×g(x) = 3x²+x-10<span>
</span>
Answer:
(n+2)(n+1)
Step-by-step explanation:
Write out the numerator and cancel common factors:
(n+2)!/n! = (n+2)(n+1)n!/n! = (n+2)(n+1)
_____
You might be expected to multiply it out:
= n·n +2·n +n·1 +2·1
= n² +3n +2
Answer:
15 miles
Step-by-step explanation:
ratio problem
1 inch/5 miles = 3 inch/x
x = 15