Question

Find the average value of the function on the given interval/

f(x) = 2x^2 . e^(2x) , [0,1]

the average value is ………… ( round to 3 d.p)

Answer #1

Find the average value of the function over the given interval
and all values of x in the interval for which the function
equals its average value. (Round your answer to three decimal
places.)
f(x) = 4x3 − 3x2, [−1,
3]
(x, y) =

f(x)=2x^3−15x^2−36x+8
on the interval [−5,7]. Find the average or mean slope of the
function on this interval.
Average slope = 12
By the Mean Value Theorem, we know there exists at least one cc
in the open interval (−5,7) such that f′(c) is equal to this mean
slope. Find all values of cc that work and list them (separated by
commas) in the box below.
List of numbers:
need answer for second part..

Consider the function f(x) = x^3 − 2x^2 − 4x + 7 on the interval
[−1, 3]. a) Evaluate the function at the critical values. (smaller
x-value) b) Find the absolute maxima for f(x) on the interval [−1,
3].

(A.) Find the average value of the function f over the
interval [5, 7].
f(x) = 9 − x
(B.) Find the average value of the function f
over the interval [0, 5].
f(x) = (8)/(x+1)

Which functions fit the description?
function 1: f(x)=x^2 + 12. function 2: f(x)= −e^x^2 - 1.
function 3: f(x)= e^3x function 4: f(x)=x^5 -2x^3 -1
a. this function defined over all realnumbers has 3 inflection
points
b. this function has no global minimum on the interval (0,1)
c. this function defined over all real numbers has a global min
but no global max
d. this function defined over all real numbers is non-decreasing
everywhere
e. this function (defined over all...

Consider a function f(x) defined on a closed interval [a,b]
find the average value of f(x) = x sec^2 x on the interval [0,
π/4]

Find the values of a function f(x) if
f(x) = 2x + 5, for
f(2), f(4),
f(k), and f(x2 +
2)
The difference quotient of a function is given by:
limh0f(x)
fx+h-f(x)h . Find the
difference quotient of, f(x) = 2x + 3 and f(x) = x2 +
2
a. Prove that h(x) and k(x) are inverses of each other when
h(x) =x+213 and k(x) = 3x + 21

Find the absolute maximum and minimum values of the function
f(x) = x^4-2x^2+1 on the interval [0,3]

Consider the given function and the given interval. f(x) = 5 x ,
[0, 4] (a) Find the average value fave of f on the given interval.
(b) Find c such that fave = f(c). (Round your answer to three
decimal places.) c =

Find the derivative of the function.
(a) f(x) = e^(3x)
(b) f(x) = e^(x) + x^(2)
(c) f(x) = x^(3) e^(x)
(d) f(x) = 4e^(3x + 2)
(e) f(x) = 5x^(4)e^(7x+4)
(f) f(x) = (3e^(2x))^1/4

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