Answer:
this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).
- we know that
this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1
using the equation of line:
we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e
this is the equation of the tangent at point (-1,1/e)
Answer:
5x(2 - 3x³)
Step-by-step explanation:
10x-15x^4
The GCF( Greatest Common Factor) of 10x-15x^4 is 5x
Solve:
10x/5x = 2
-15^4/5x = -3x³
Final answer is
5x(2 - 3x³)
<u>Check</u>
5x(2 - 3x³)
distribute
5x(2) + 5x(-3x³)
10x - 15x^4
So first, this is point slope form. The first step is to distribute.)
Then add 4 to both sides.
Then add 2x and it becomes
Answer:
<h3>22.627417</h3>
Step-by-step explanation:
![\frac{32}{ \sqrt[8]{16} } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B32%7D%7B%20%5Csqrt%5B8%5D%7B16%7D%20%7D%20%20%5C%5C%20)
Simplify
Method 2 :
By rationalizing the denominator
Answer:
40.38912735 or about 40 miles per hour (rounded to the nearest whole number)
Step-by-step explanation:
1.) You want to convert kilometers per hour to miles per hour.
2.) There are 0.62137119 miles in 1 kilometer.
3.) Multiply 65 by 0.62137119
4.) That equals 40.38912735
5.) This answer can be rounded to 40 mph.
