I will only do the first-three. You can repost number 4.
Question 1
f(x) = -x^2 + 10x + 4
dy/dx = -2x + 10
Question 2
f(x) = 20 - x + 2
dy/dx = -1
Question 3
f(x) = ex^4 - 2x^2
dy/dx = e•4x^3 + x^4 - 4x
dy/dx = 4ex^3 + x^4 - 4x
I think 306? Not completely sure! Hope this helps!!
(-1, 1) (0, -6)
y1-y2
--------
2
x1-x2
--------
2
-1-0 1- -6
-------- --------
2 2
-1 -5
---- + -----
2 2
-6
---- = -3
2
Answer:
2√2
Step-by-step explanation:
Remember that for a right triangle, if the two legs are the same length "x", then the hypotenuse will always be "x√2"
Here each leg has a length of 2, so the hypotenuse is equal to 2√2
Answer:
Step-by-step explanation:
Use the formula 
(distance is equal to rate/speed multiplied by time) to solve this problem.
We know that one minute is equal to 60 seconds. Therefore, the distance travelled by the cat in 1 minute is equal to 
.
To catch the cat, the dog needs to also cover an additional 48 meters, because the cat was initially 48 meters away from the dog and it ran away from the dog. Hence, the dog will need to cover 
meters in one minute.
Therefore, we have:
