Question

Find the minimizer of f(x) = x^{4} - 14x^{3} +
60x^{2} - 70x on interval [5, 7] with the golden section
method with uncertainty 0.2 using the Fibonacci method with ε =
0.05.

Answer #1

Consider the function below.
f(x) = 7 + 4x2 − x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
(b) Find the interval of decrease. (Enter your answer using
interval notation.)
(c) Find the local minimum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
(d) Find the local maximum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)

Consider the equation below. (If an answer does not exist, enter
DNE.)
f(x) =
x4 − 8x2
+ 7
(b) Find the local minimum and maximum values of f.
(c) Find the interval on which f is concave up. (Enter
your answer using interval notation.)
(d) Find the interval on which f is concave down.(Enter
your answer using interval notation.)

(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)

1. Find the area of the region bounded by the graph of the
function f(x) = x4 − 2x2 + 8, the
x-axis, and the lines x = a and
x = b, where a < b and
a and b are the x-coordinates of the
relative maximum point and a relative minimum point of f,
respectively.
2.Evaluate the definite integral.
26
2
2x + 1
dx
0
3. Find the area of the region under the graph of f...

Given f(x) = , f′(x) = and f′′(x) = , find all possible
x2 x3 x4
intercepts, asymptotes, relative extrema (both x and y values),
intervals of increase or decrease,
concavity and inflection points (both x and y values). Use these
to sketch the graph of f(x) = 20(x − 2)
.
x2

Expand the following with no exponents.
f(x) = ln (x4 * h(x) )
Find the equation tangent to this line.
The question is complete. This is literally the problem. It
needs to be expanded using log rules and after the derivative needs
to be found. There is no other information.

Show that f(x)=x4+4x-2 has exactly one real root in
the interval [0, ∞)

Find the taylor series of f(x) = xsin(x4) at x=1 and
determine the radius of convergence.

Find the absolute maximum and absolute minimum values of f on
the given interval. f(x) = x4 − 2x2 + 1, [−2, 3] absolute minimum
Incorrect: Your answer is incorrect. absolute maximum Incorrect:
Your answer is incorrect.

Consider a function f(x; y) =
2x2y
x4 + y2 .
(a) Find lim
(x;y)!(1;1)
f(x; y).
(b) Find an equation of the level curve to f(x; y) that passes
through the point (1; 1).
(c) Show that f(x; y) has no limits as (x; y) approaches (0;
0).

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