Answer:
3,266.53
Step-by-step explanation:
Answer:
The average rate of change of the function 
over the interval 
is -1
Step-by-step explanation:
We are given the function over the interval
We need to find average rate of change.
The formula used to find average rate of change is : 
We have b=-1 and a=-11
Finding g(b) = g(-1)
Finding g(a) = g(-11)
Finding average rate of change
So, the average rate of change of the function over the interval is -1
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Multiply 6 by 60 then divide by two which will get you 180.
50 + (.75 x d)
D = distance traveled by in miles
