<span>y = sqrt(25-x^2) at point (3,4)
The derivative gives us the slope at 3 to be:
-2x
------------ at x=3: -3/4
2sqrt(25-x^2)
</span><span>so we have a vector that is parallel to the slope of the tangent line is: <4,-3>
</span>
<span>the mag = 5 so; unit tangent = <4/5 , -3/5>
</span>
<span>since perpendicular lines have a -1 product between slopes we get the normal to be...
<3/5,4/5>
</span>
<span>It is <4,-3> because it is rise over run. Rise is y component of vector and run is x component of vector.</span>
remainder = 5a
using polynomial long division we get 5a as a remainder
Answer:
COOOOOOL Graph
Step-by-step explanation:
C O O O O O O L G r a p h
Answer:
the first selection (see below)
Step-by-step explanation:
The average rate of change (m) on the interval [x1, x2] is given by ...
... m = (g(x2) -g(x1))/(x2 -x1)
For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.
Answer:
64 miles
Step-by-step explanation:
If he used 20% of the gas, he can go 20% of the miles
20% of 320 miles
.20 * 320
64 miles