No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.
A) Y = 100/10^x
B) Y = 0-50x
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
Let
. The tangent plane to
at (1, 2, -6) has equation

We have

Then the tangent plane has equation

Let
, and
. The tangent plane to
at a point
is

We have

so that this plane has equation

In order for this plane to be parallel to the previous plane, we need to have

so the point we're looking for is (2, 6, -36).