Question

The revenue and cost function are given. R(x) = 35x − 0.35x2; C(x) = 4x + 9

(a) Determine the break-even points. (Round your answers to two decimal places.)

(x, y) = (smaller x-value)

(x, y) = (larger x-value)

(b) Determine how much revenue must be generated to reach the break-even points. (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

Answer #1

The revenue and cost functions for a particular product are
given below. The cost and revenue are given in dollars, and
x represents the number of units .
R(x) = −0.2x2 + 146x
C(x) = 66x + 7980
(a) How many items must be sold to maximize the revenue?
(b) What is the maximum revenue?
(c) Find the profit function.
P(x) =
−.2x2+212x+7980
(d) How many items must be sold to maximize the profit?
(e) What is the maximum profit?...

Consider the function below. (If an answer does not exist, enter
DNE.)
f(x) = 1/2x^(4) − 4x^(2) + 3
(a)
Find the interval of increase. (Enter your answer using interval
notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b)
Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c)
Find the inflection points.
(x, y) = (smaller x-value)
(x, y) =...

question #1: Consider the following function.
f(x) =
16 − x2,
x ≤ 0
−7x,
x > 0
(a) Find the critical numbers of f. (Enter your answers
as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
increasing
decreasing
question#2:
Consider the following function.
f(x) =
2x + 1,
x ≤ −1
x2 − 2,
x...

Consider the function below. (If an answer does not exist, enter
DNE.)
g(x) = 250 +
8x3 +
x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c) Find the inflection points.
(x, y)=(smaller x-value)
(x, y)=(larger x-value)
Find the...

Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval
[−1, 3].
Find f '(x). f '(x) = 3x2−4x−4
Find the critical values. x =
Evaluate the function at critical values. (x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Evaluate the function at the endpoints of the given
interval.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the absolute maxima and minima for f(x) on the interval
[−1, 3].
absolute...

An equation of a hyperbola is given.
x^2/ 9 - y^2//49=1
(a) Find the vertices, foci, and asymptotes of the hyperbola.
(Enter your asymptotes as a comma-separated list of equations.)
vertex
(x, y)
=
(smaller x-value)
vertex
(x, y)
=
(larger x-value)
focus
(x, y)
=
(smaller x-value)
focus
(x, y)
=
(larger x-value)
asymptotes
(b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.

An equation of a hyperbola is given.
x2 − 3y2 + 48 = 0
a) Find the vertices, foci, and asymptotes of the hyperbola.
(Enter your asymptotes as a comma-separated list of equations.)
vertex
(x, y)
=
(smaller y-value)
vertex
(x, y)
=
(larger y-value)
focus
(x, y)
=
(smaller y-value)
focus
(x, y)
=
(larger y-value)
asymptotes
(
b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.

Calculate two iterations of Newton's Method to approximate a
zero of the function using the given initial guess. (Round your
answers to three decimal places.)
45. f(x) = x5 −
5, x1 = 1.4
n
xn
f(xn)
f '(xn)
f(xn)
f '(xn)
xn −
f(xn)
f '(xn)
1
2
40. Find two positive numbers satisfying the given
requirements.
The product is 234 and the sum is a minimum.
smaller value=
larger value=
30.Determine the open intervals on which the graph is...

total revenue and total cost functions for the production and
sale of xTV's are given as
R(x)=130x−0.7x2
and
C(x)=3950+21x.
(A) Find the value of x where the graph of R(x)R(x) has a
horizontal tangent line. xvalues is
equation editor
Equation Editor
(B) Find the profit function in terms of x.
P(x)=
equation editor
Equation Editor
(C) Find the value of xx where the graph of P(x) has a horizontal
tangent line.
x values =
equation editor
Equation Editor
(D) List...

1-Given the cost function C(x)=0.8x+43,120C(x)=0.8x+43,120 and
the revenue function R(x)=1.78xR(x)=1.78x, find the break-even
point.
2-Solve the following system of equations by graphing.
7x+2y=107x+2y=10 6x+2y=86x+2y=8

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