Need this worked out please so I can understand it
1 answer:
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
__
b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
You might be interested in
Answer:
7
Step-by-step explanation:
The text of this expression is:
"If 3 is added to twice a number, the result is 17. Find the number"
Let's call the number we want to find.
Twice the number is equal to
So, if we add 3 to 2x, we get
And we know that this is equal to 17:
Now we can solve the equation to find x: first, we subtract 3 from both sides
Now we divide both sides by 2: