Equation:
(2w+2) + w + (2w+2) + w
Combine Like Terms:
6w+4=142 m (since that's our perimeter)
Subtract 4 from both sides:
6w=138
Divide 6 from both sides
w=23
To find the length... Plug in our width into our "length" equation
(2(23)+2)
46+2
l=48
Final Answer:
w=23
l=48
The velocity is the derivative of position.
... v(t) = r'(t) = -5sin(t)i +4cos(t)j . . . . velocity
The acceleration is the derivative of velocity.
... a(t) = v'(t) = -5cos(t)i -4sin(t)j . . . . acceleration
The speed is the magnitude of velocity.
... s(t) = ||v(t|| = √((-5sin(t))² +(4cos(t))²)
... = √(25sin(t)² +16(1 -sin(t)²))
... s(t) = √(16 +9sin(t)²) . . . . speed
_____
Of course, derivatives of these functions are found from ...
... (d/dt)(sin(t)) = cos(t); (d/dt)(cos(t)) = -sin(t); (d/dt)(a + b) = da/dt + db/dt.
Solution :
A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.
In the context, the next largest permutation set is :
a). (1,2,3,4,5,6,7)
b). The given permutation is the last one in the lexicographic order.
c). (1,7,6,4,2,5,3)
d). (4,1,2,3,5,6,7)
e). (5,6,7,4,3,2,1)