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
Answer:
L = A÷W
Step-by-step explanation:
The area of a rectangle (A) is related to the length (L) and width (W) of its sides by the following relationship: A = L ⋅ W. If you know the width, it's easy to find the length by rearranging this equation to get L = A ÷ W.
Answer:
138
Step-by-step explanation:
G + H = 180 {G, H are linear pair}
12x + 6 + 4x - 2 = 180
12x + 4x + 6 - 2 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176/16
x = 11
G = 12x + 6
= 12*11 + 6
= 132 + 6
= 138
Answer:
11 feet
Explanation:
- area of trapezoid: 1/2 * (a + b) * h
Here given:
====================
Solving steps:
⇒ 1/2 * (15 + b) * 7.6 = 98.8
⇒ (15 + b) * 7.6 = 197.6
⇒ (15 + b) = 26
⇒ b = 11 ft
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.