Let
and
. By the product rule,

By the power rule, we have
and
, but
are functions of
, so we also need to apply the chain rule:


and we have


So we end up with

Replace
to get everything in terms of
:

We can simplify this by factoring:


Step-by-step explanation:

Square both sides of the equation.


Answer:
23
Step-by-step explanation:
7^2=a^2+4^2
49-16=a^2
√23=a
Answer:
3.92
×
10
^18
Step-by-step explanation:
(7 x 10^*9)(5.6 x 10^*8)
(7000000000)(560000000)
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
12/16=3/4, 3/4*8=6. Therefore Caitlin still has 6 km to go, So d=6