Given f(x) = x (x + 6), answer the following using calculus: a) The interval(s) of increase: b) The interval(s) of decrease: c) The point where f(x) has a relative maximum: d) The point where f(x) has relative minimum:

Q: or the function f(x) = x² − 6x³ + 1, find the points of inflection.

A:

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: For the function f(x)=x²-9, evaluate f(x + h). 2 f(x + h) = | 21

A: Given, f(x)=x2-9

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: Given the function f(x) - 1+ 8x², calculate the following values: f(a) f(a + h) f(a + h) – f(a) h

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: A newborn baby weighed 10 pounds at birth and was 15 inches tall. After 7 months the baby weighs 17…

A:

Q: For the piecewise linear function, find (a) f( – 4), (b) f( - 1), (c) f(0), (d) f(3), and (e) f(5).…

A: We have given piecewise linear function fx=3x      if x≤-1x-2  if x>-1

Q: This is the final answer to the problem: (a) f (g(x))= + Domain: + (b) g(f (x)) = + Domain:

A: Topic = Functions The domain of a function is the complete set of possible values of the independent…

Q: Find the inflection point (x,, f(xp)) of the following function: f(x) = 3x³ + 9x² – x + 11. If - an…

A: Given : f(x) = 3x³ + 9x² - x + 11

Q: value

A: