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Mechanical engineering Questions and solutions set - 10

Mechanical engineering Questions and solutions set - 10
Question:-
Option (A)
a regression model of all data points
Option (B)
a simple moving average model considering all data points
Option (C)
a weighted average model with unequal weights to all data points
Option (D)
a weighted average model with equal weights to all data points
Correct Option:
C
Question:-
Option (A)

Option (B)

Option (C)

Option (D)

Correct Option:
C
Question Solution:
A =
        A-1 =
         = 4 - 6 = -2
        B = Matrix formed by cofactor of A
        =
        adj(A) =
        A-1 =
Question:-
Option (A)
π/3
Option (B)
π/6
Option (C)
π/2
Option (D)
5π/6
Correct Option:
C
Question Solution:
f(x) = 3.46 sinx + 2 cosx
        f'(x) = 3.46 cos x - 2 sinx
        f'(x) = 0
        => 3.46 cosx - 2 sinx = 0
        => tanx =
x = 59.97° ≈ 60° =
        f''(x) = -3.46 sinx - 2 cosx
        
        Therefore function f(x) is maximum at
Question:-
Option (A)
> 0
Option (B)
2
Option (C)
0
Option (D)
unbounded
Correct Option:
A
Question Solution:

         = 10π + (-1 - 1)
        = 10π - 2 > 0