Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
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Answer:
Step-by-step explanation:
Given
The given equation is a differential equation
By separating variable
⇒
Now by taking integration both side
⇒
Where C is the constant
from above equation we can say that
When t will increases in positive direction then 
will decreases it means that 
will increases, so y will decreases. Similarly in the case of negative t.
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 = -2
f(f^-1(x)) = x so answer is -2
