To graph it, just graph

and

and see where they intersect
I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it
hmm
multiply both sides by -1

multiply both sides by



minus 1 from both sides and minus 6(3^x) from both sides

use u subsitution

we can rewrite it as

now factor
I mean use quadratic formula
for

so for 0=u^2-16u-1, a=1, b=-16, c=-1


remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor


if you take the log base 3 of both sides you get

if you use ln then

then

The arc length of the curve is

which has a value of about 5.99086.
Let
. Split up the interval of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]
The left and right endpoints are given respectively by the sequences,


with
.
These subintervals have midpoints given by

Over each subinterval, we approximate
with the quadratic polynomial

so that the integral we want to find can be estimated as

It turns out that

so that the arc length is approximately

Sizes = Small, Medium and Large, so they has 3 choices for size.
Crust = Thin or thick for each size, so they have 2 choices for crust.
Topping = Tomato or meatball for each one, so they have 2 choices for toppings.
The answer would be:
<span>Three choices for size, two choices for crust, and two choices for topping</span>
Is there an attachment to this? It cant be answered without a picture or a description.
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = 
The number of pieces of rolls in each plate = 
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.