Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
Answer:
A
Step-by-step explanation:
We know that the growth of a linear function will always be constant. So, that eliminates B and C.
A quadratic function can be a function such as
, or
, etc.
An exponential function wouldn't be
, it would be
! Or
, or
, etc. Therefore, D is eliminated.
So, the answer is
and we're done!
Answer:
-2, 1, 2, 3, 4
Step-by-step explanation:
The domain is the x values of the graph.
Answer: No
Step-by-step explanation: Because.
Answer: Val walks the greater distance. She walks 2/5 miles more than Bill. Hope this helps!
Step-by-step explanation: