Answer:
Answers below.
Step-by-step explanation:
Inititally as x increases, y remains the same.
Afterword, the slope = 2 for x = 3 to x = 5.
the slope = 1 for x =5 to x =9.
the greatest value of y is y = 4 when x = 5.
2x+40=60
2x=20
x=10
Answer:10
The exponent indicates how many times the base is used as a factor.
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6