Implicit differentiation
chain rule is important here
I'll show the steps partially




now evaluate for (-2,2)
x=-2 and y=2



that's it, simplest form
For number 9 put the equation in the graphing calculator and see what the outcome is
Answer:
x = 3, v = -8
Step-by-step explanation:
Substitute x.

[5 •
= -73 - 11v]
Isolate v.
5
= -73 - 11v
v = -8
Substitute v.
x = 
x = 3
Answer:
The time(s) the ball is higher than the building: Interval (0,4)
Step-by-step explanation:
s(t)=-16t^2+64t+400
Determine the time(s) the ball is higher than the building:
s(t)>400
-16t^2+64t+400>400
Subtracting 400 both sides on the inequality:
-16t^2+64t+400-400>400-400
-16t^2+64t>0
Multiplying the inequality by -1:
(-1)(-16t^2+64t>0)
16t^2-64t<0
Fatorizing: Comon factor 16t:
16t(16t^2/16t-64t/16t)<0
16t(t-4)<0
t is greater than zero:
t>0→t-4<0→t-4+4<0+4→t<4
Then t>0 ant t<4:
Solution = (0, Infinite) ∩ (-Infinite, 4)
Solution = (0,4)
Answer:
42
Step-by-step explanation:
7x6