(a)
Given:
is in xy plane and
is in the direction of k.
|a|=6 units, |b|=3 and θ = 90°
|a × b| = |a| × |b| sinθ
= |a| × |b| sin90°
= 6 × 3 × 1
|a × b| = 18
(b)
Let
is perpendicular to both
.
In this case,
x-component of is positive.
y-component of is negative.
z-component of is zero.
Answer:
Where t represent the time in years
For this case this model follows the general model given by:
Where a = 140 represent the initial amount of bisons and y the number of bisons after t years and b = 2.7 represent the growth rate
For this case we want to find the value of y when t =30, and if we replace the value of t =30 in our function we got:
And if we round to the nearest whole number we got 189 bisons after 30 years
Step-by-step explanation:
For this case we have the following function given:
Where t represent the time in years
For this case this model follows the general model given by:
Where a = 140 represent the initial amount of bisons and y the number of bisons after t years and b = 2.7 represent the growth rate
For this case we want to find the value of y when t =30, and if we replace the value of t =30 in our function we got:
And if we round to the nearest whole number we got 189 bisons after 30 years