Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)
Answer:
Volume=1204.26cm3
Step-by-step explanation:
V=
4
3
π
r
3
=
4
3
π
6.6
3
≈
1204.26043cm³
Answer:
0≤x≤8
Step-by-step explanation:
the domain is basically all the x-values that are applicable to the graph.
Here we can clearly see that the graph starts at x = 0 and ends at x = 8. There are no other possible x-values which is applicable to the graph,
hence the domain is 0≤x≤8
3 miles = 5,280 yards
6(250) = 1,500 yards
5,280 - 1,500 = 3,780 yards
Answer:
A.) -7, -6, -3, -2, 0, 2, 6
B.) Jacob is correct, the larger the negative number, the lower the number is. So, since -11 is smaller than -7, it will be colder.
C.) Minneapolis is colder since -41 is way lower than -15.
-41<-15