The Taylor series is defined by:

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:

Do this successively to n = 6.

Plug in x=0 and sub into taylor series:

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
I think the answer is -x+2.
Answer: 12.1
Look at the hundredth place for rounding to tens and since it is less than 5 you drop the following numbers and keep the 1
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Answer:

Step-by-step explanation:
We need to note that this is an equation, in which we can solve for x.

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.
We now have the formula simplified down to
. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.
We know have 
, so x is approximately 55.
Hope this helped!
Answer: y = -2x + 7
Step-by-step explanation:
Slope intercept form is the same as solving for y in the equation .
So solve for y and it will be in slope intercept form.
12 - y = 2x + 5 Subtract 12 from both sides
-12 -12
-y = 2x -7 Now divide both sides by -1
y = -2x + 7