21 Answered Questions for the topic Maximum

#### Minimum and Maximum at a point

Find the minimum and maximum values of the function, x^3-6x^2+8 on the interval [1,3] by comparing values at the critical point s and end points.

Maximum Volume

04/17/18

#### Finding the max volume of a box

A company wants to manufacture a box for which the rectangular bottom has a perimeter of 64 cm. The height is a fixed 12 cm. Use an equation to algebraically find the maximum volume of the box.

Maximum

03/19/18

#### If Rheam Gasper throws a ball upward with an initial speed of 32 feet per second, then its height h in feet t seconds is given by functions h(t)=-16t^2+32t

(a) Find the maximum height of the ball
(b) How long will it take for the ball to each its maximum height

11/01/17

#### word problem involving the maximum or minimum of a quadratic function

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are made, then the unit cost is...
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11/01/17

#### word problem involving the maximum or minimum of a quadratic function

A ball is thrown vertically upward. After "t" seconds, its height "h" (in feet) is given by the function h(t) = 60t-16t^2. What is the maximum height that the ball will reach?
Don't round your...
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#### An open box with its base having a length twice its width is to be constructed with 600 square cm of material. Find its dimensions that maximize the volume.

so I am asked to maximize l*w*h = 2w^2*h
l*w +2w*h+2lh=600
I solved for h in terms of w
2w*w+2wh+2*2wh=600
2wh+4wh=600-2w^2
h(6w)=600-2w^2
h=(600-2w^2)/(6w)
I plugged it into l*w*h and...
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Maximum

10/03/16

#### Find the maximum area of the rectangular garden.

A gardener is fencing a rectangular garden with 112 feet of fence. Find the maximum area of the rectangular garden.

Maximum Word Problem

05/14/16

#### A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 292 t + 94.

A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 292 t + 94.At what time does the rocket reach its maximum height?...
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04/01/16

#### Finding the Min & Max of a function

Question: "for the following functions, determine the locations of relative extrema, either minimum or maximum, and find their values"
for k(x)=(ln3x)/(2x^2)
The process I use is to first...
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Maximum Algebra Word Problem

12/11/15

#### Find the dimensions that maximize the enclosed area.

A renter has 400 feet of fencing to put around the rectangular field and then subdivide the field into three identical smaller rectangular plots by placing two fences parallel to one of the field's...
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Maximum

10/19/15

#### Find the Absolute Maximum

Consider the function f(x)=−4x2+2x−3.
The absolute maximum of f(x) is _____

#### Calc help please: Applied Max/Min please!!

Applied Max/Min (25 points)a. You have $2000 dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom costs $5 per foot and for the sides...
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#### Calc help please: Applied Max/Min

Applied Max/Min (35 points)a. Find the dimensions of the rectangle with the greatest area that can be built so the base of the rectangle is on the x–axis between 0 and 1 (0 ≤ x ≤ 1) and one corner...
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05/21/15

#### Domain range and period

a) what is the domain, range, and periodic y=csc x?
b) what is the relative minimum in the interval 0<_x<_ pi
c) what is the relative maximum ion the interval pi<_x<_2pi
(<_...
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#### Find the Global Maximum and Minimum values of the function. The domain is all real numbers unless otherwise specified.

Find the Global Maximum and Minimum values of the function. The domain is all real numbers unless otherwise specified.
f(x)=x+1/x for x>0

06/20/14

#### Optimization Problems

The Eco-venture charter company offers local environmental excursions. The fare is $45 per person if up to 30 passengers sign up for the trip. (Note: The company does not offer the trip if fewer...
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04/02/14

#### Optimization Problems

Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices on...
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#### Which statement is not true of the graph f(x)= (x+1)(x-3)^2?

How do you solve this problem? Which is the right answer and why?
a) f has a relative maximum at (1/3, 256/27)
b) f has a point of inflection at (3,0)
c) f has an intercept at (3,0)
d) f has a...
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12/29/12

#### f(x)=(x+2)^3 -4 The point (-2,-4) is which of the following?

How do you solve this problem? Which is the right answer and why?
a. An absolute maximum
b. An absolute minimum
c. A critical point but not an extremum
d. Not a critical point
e. none of these

#### Let f(x) be a polynomial function such that f(-2)=5, f'(-2)=0 and f"(-2)=3. The point (-2,5) is which of the following for the graph of f?

How do you figure out this problem. Which is the correct answer choice and why?
a) relative maximum
b) relative minimum
c) intercept
d) inflection point
e) none of these

12/29/12

#### Let f(x) be a polynomial function such that f(4)= -1, f'(4)=2 and f"(4)=0. If x<4, then f"(x)<0 and if x>4, then f"(x)>0.

The point (4,-1) is which of the following for the graph of f?
How do you figure out this problem. Which answer choice is right and why?
a) relative maximum
b) relative minimum
c) critical...
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