Rotation and it would be a rigid transformation
Step-by-step explanation:
Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.
The Wronskian of them functions be
W = (y1y2' - y1'y2)
y1 = (e^x)/2 = y1'
y2 = (xe^x)/2
y2' = (1/2)(x + 1)e^x
W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)
= (1/4)(x + 1 - x)e^(2x)
W = (1/4)e^(2x)
Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.
Answer:
177
Step-by-step explanation:
8.7×5×2=87
10×3×3=90
87+90=177
Answer:
y + 1 = 
(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )
m = 
= 
= 
= and (x₁, y₁ ) = (- 2, - 1 ) , then
y - (- 1) = (x - (- 2) ) , that is
y + 1 = (x + 2)
She planted 23 plants on Tuesday
68-45=23
Check✔️
45+23= 68
