(a.)

A labelled diagram of the sculpture in terms of x .

A labelled diagram of the sculpture in terms of x, is given as follows:

Given:

A sculpture is shaped as a pyramid with a square base.

The height of the pyramid is 4 inches less than the length of a side of the base.

The volume of the sculpture is 200 cubic inches.

Concept used:

Assuming an unknown dimension as x and determining the other dimensions in terms of x , a labelled diagram of the given figure can be constructed.

Calculation:

Let x represent the length (in inches) of a side of the sculpture’s base.

It is given that the height of the pyramid is 4 inches less than the length of a side of the base.

Then, the height of the pyramid shaped sculpture is x−4 .

Now, a labelled diagram of the sculpture is given as follows,

Conclusion:

A labelled diagram of the sculpture in terms of x, is given as follows:

(b.)

A function that gives the volume V of the sculpture, in terms of x .

It has been determined that the function that gives the volume V of the sculpture, in terms of x , is V=13x2x−4 .

Given:

A sculpture is shaped as a pyramid with a square base.

The height of the pyramid is 4 inches less than the length of a side of the base.

The volume of the sculpture is 200 cubic inches.

Concept used:

The volume V of a pyramid with square base equals one-third the product of the area of the square base and the height.

Calculation:

As assumed previously, x represents the length (in inches) of a side of the sculpture’s base and the height (in inches) of the pyramid shaped sculpture is x−4 .

Then, the area of the square base (in square inches) is given as x2 .

Now, according to the discussed formula, the volume V of the pyramid shaped sculpture (in cubic inches) is given as,

V=13×x2×x−4

Rewriting,

V=13x2x−4

This is the required function that gives the volume V of the sculpture, in terms of x .

Conclusion:

It has been determined that the function that gives the volume V of the sculpture, in terms of x , is V=13x2x−4 .

(c.)

The graph of the function obtained in part (b) and the estimate of the value of x for the sculpture.

The graph of the function obtained in part (b) is given as:

It has been determined that the estimate of the value of x for the sculpture is x=10 .

Given:

A sculpture is shaped as a pyramid with a square base.

The height of the pyramid is 4 inches less than the length of a side of the base.

The volume of the sculpture is 200 cubic inches.

Concept used:

If either the abscissa or the ordinate is known, the corresponding ordinate or the abscissa can be obtained from the graph of the function.

Calculation:

The function obtained in part (b) is,

V=13x2x−4

The graph of this function is given as,

It is given that the volume of the sculpture is 200 cubic inches.

So, V=200 .

It can be seen from the graph that V=200 corresponds to x=10 .

This is the required estimate.

Conclusion:

The graph of the function obtained in part (b) is given as:

It has been determined that the estimate of the value of x for the sculpture is x=10 .

(d.)

The value of x , by writing and solving an equation, its comparison with the estimate from part (c) and the dimensions of the sculpture.

The value of x , by writing and solving an equation, has been determined to be x=10 , which is equal to its estimate from part (c).

It has been determined that the base of the sculpture is 10 inches by 10 inches and the height of the sculpture is 6 inches.

Given:

A sculpture is shaped as a pyramid with a square base.

The height of the pyramid is 4 inches less than the length of a side of the base.

The volume of the sculpture is 200 cubic inches.

Concept used:

An equation can be solved by factorizing.

Calculation:

The function obtained in part (b) is,

V=13x2x−4

It is given that the volume of the sculpture is 200 cubic inches.

So, V=200 .

Put V=200 in V=13x2x−4 to get,

200=13x2x−4

Simplifying,

x2x−4=600

On further simplification,

x3−4x2=600

Finally,

x3−4x2−600=0

Factorizing,

x3−10x2+10x2−4x2−60x+60x−600=0x3−10x2+6x2−60x+60x−600=0x2x−10+6xx−10+60x−10=0x−10x2+6x+60=0

Note that the discriminant of x2+6x+60 is given as,

62−4160=36−240<0

This implies that the roots of x2+6x+60=0 are complex.

So, the only real root of the obtained equation is x=10 .

Now, the estimated value from part (c.) was also x=10 .

As assumed in part (a), the length of a side of the square base is x=10 inches and the height of the pyramid is x−4=10−4=6 inches.

So, the base of the sculpture is 10 inches by 10 inches and the height of the sculpture is 6 inches.

Conclusion:

The value of x , by writing and solving an equation, has been determined to be x=10 , which is equal to its estimate from part (c).

It has been determined that the base of the sculpture is 10 inches by 10 inches and the height of the sculpture is 6 inches.

Chapter 2.8, Problem 5MRPS

Chapter 2.8, Problem 7MRPS

Chapter 2 Solutions

Ch. 2.1 - Prob. 1GP Ch. 2.1 - Prob. 2GP Ch. 2.1 - Prob. 3GP Ch. 2.1 - Prob. 4GP Ch. 2.1 - Prob. 5GP Ch. 2.1 - Prob. 6GP Ch. 2.1 - Prob. 7GP Ch. 2.1 - Prob. 8GP Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E

Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49PS Ch. 2.1 - Prob. 50PS Ch. 2.1 - Prob. 51PS Ch. 2.1 - Prob. 52PS Ch. 2.1 - Prob. 53PS Ch. 2.1 - Prob. 54PS Ch. 2.1 - Prob. 1DC Ch. 2.1 - Prob. 2DC Ch. 2.1 - Prob. 3DC Ch. 2.1 - Prob. 4DC Ch. 2.1 - Prob. 5DC Ch. 2.1 - Prob. 6DC Ch. 2.2 - Prob. 1GP Ch. 2.2 - Prob. 2GP Ch. 2.2 - Prob. 3GP Ch. 2.2 - Prob. 4GP Ch. 2.2 - Prob. 5GP Ch. 2.2 - Prob. 6GP Ch. 2.2 - Prob. 7GP Ch. 2.2 - Prob. 8GP Ch. 2.2 - Prob. 9GP Ch. 2.2 - Prob. 10GP Ch. 2.2 - Prob. 11GP Ch. 2.2 - Prob. 12GP Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.2 - Prob. 38E Ch. 2.2 - Prob. 39E Ch. 2.2 - Prob. 40E Ch. 2.2 - Prob. 41E Ch. 2.2 - Prob. 42E Ch. 2.2 - Prob. 43E Ch. 2.2 - Prob. 44E Ch. 2.2 - Prob. 45E Ch. 2.2 - Prob. 46E Ch. 2.2 - Prob. 47E Ch. 2.2 - Prob. 48E Ch. 2.2 - Prob. 49E Ch. 2.2 - Prob. 50E Ch. 2.2 - Prob. 51E Ch. 2.2 - Prob. 52E Ch. 2.2 - Prob. 53E Ch. 2.2 - Prob. 54PS Ch. 2.2 - Prob. 55PS Ch. 2.2 - Prob. 56PS Ch. 2.2 - Prob. 57PS Ch. 2.2 - Prob. 58PS Ch. 2.2 - Prob. 59PS Ch. 2.2 - Prob. 60PS Ch. 2.2 - Prob. 1P Ch. 2.2 - Prob. 2P Ch. 2.2 - Prob. 3P Ch. 2.2 - Prob. 4P Ch. 2.2 - Prob. 5P Ch. 2.2 - Prob. 6P Ch. 2.2 - Prob. 7P Ch. 2.2 - Prob. 8P Ch. 2.2 - Prob. 9P Ch. 2.2 - Prob. 10P Ch. 2.3 - Prob. 1GP Ch. 2.3 - Prob. 2GP Ch. 2.3 - Prob. 3GP Ch. 2.3 - Prob. 4GP Ch. 2.3 - Prob. 5GP Ch. 2.3 - Prob. 6GP Ch. 2.3 - Prob. 1E Ch. 2.3 - Prob. 2E Ch. 2.3 - Prob. 3E Ch. 2.3 - Prob. 4E Ch. 2.3 - Prob. 5E Ch. 2.3 - Prob. 6E Ch. 2.3 - Prob. 7E Ch. 2.3 - Prob. 8E Ch. 2.3 - Prob. 9E Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - Prob. 12E Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - Prob. 15E Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Prob. 19E Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - Prob. 39E Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Prob. 47E Ch. 2.3 - Prob. 48E Ch. 2.3 - Prob. 49E Ch. 2.3 - Prob. 50E Ch. 2.3 - Prob. 51E Ch. 2.3 - Prob. 52E Ch. 2.3 - Prob. 53E Ch. 2.3 - Prob. 54E Ch. 2.3 - Prob. 55E Ch. 2.3 - Prob. 56E Ch. 2.3 - Prob. 57E Ch. 2.3 - Prob. 58E Ch. 2.3 - Prob. 59PS Ch. 2.3 - Prob. 60PS Ch. 2.3 - Prob. 61PS Ch. 2.3 - Prob. 62PS Ch. 2.3 - Prob. 63PS Ch. 2.3 - Prob. 64PS Ch. 2.3 - Prob. 1Q Ch. 2.3 - Prob. 2Q Ch. 2.3 - Prob. 3Q Ch. 2.3 - Prob. 4Q Ch. 2.3 - Prob. 5Q Ch. 2.3 - Prob. 6Q Ch. 2.3 - Prob. 7Q Ch. 2.3 - Prob. 8Q Ch. 2.3 - Prob. 9Q Ch. 2.3 - Prob. 10Q Ch. 2.3 - Prob. 11Q Ch. 2.3 - Prob. 12Q Ch. 2.3 - Prob. 13Q Ch. 2.3 - Prob. 14Q Ch. 2.3 - Prob. 15Q Ch. 2.3 - Prob. 16Q Ch. 2.4 - Prob. 1GP Ch. 2.4 - Prob. 2GP Ch. 2.4 - Prob. 3GP Ch. 2.4 - Prob. 4GP Ch. 2.4 - Prob. 5GP Ch. 2.4 - Prob. 6GP Ch. 2.4 - Prob. 7GP Ch. 2.4 - Prob. 8GP Ch. 2.4 - Prob. 9GP Ch. 2.4 - Prob. 10GP Ch. 2.4 - Prob. 11GP Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - Prob. 12E Ch. 2.4 - Prob. 13E Ch. 2.4 - Prob. 14E Ch. 2.4 - Prob. 15E Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Prob. 19E Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - Prob. 24E Ch. 2.4 - Prob. 25E Ch. 2.4 - Prob. 26E Ch. 2.4 - Prob. 27E Ch. 2.4 - Prob. 28E Ch. 2.4 - Prob. 29E Ch. 2.4 - Prob. 30E Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.4 - Prob. 34E Ch. 2.4 - Prob. 35E Ch. 2.4 - Prob. 36E Ch. 2.4 - Prob. 37E Ch. 2.4 - Prob. 38E Ch. 2.4 - Prob. 39E Ch. 2.4 - Prob. 40E Ch. 2.4 - Prob. 41E Ch. 2.4 - Prob. 42E Ch. 2.4 - Prob. 43E Ch. 2.4 - Prob. 44E Ch. 2.4 - Prob. 45E Ch. 2.4 - Prob. 46E Ch. 2.4 - Prob. 47E Ch. 2.4 - Prob. 48E Ch. 2.4 - Prob. 49E Ch. 2.4 - Prob. 50E Ch. 2.4 - Prob. 51E Ch. 2.4 - Prob. 52E Ch. 2.4 - Prob. 53E Ch. 2.4 - Prob. 54E Ch. 2.4 - Prob. 55E Ch. 2.4 - Prob. 56E Ch. 2.4 - Prob. 57E Ch. 2.4 - Prob. 58PS Ch. 2.4 - Prob. 59PS Ch. 2.4 - Prob. 60PS Ch. 2.4 - Prob. 61PS Ch. 2.4 - Prob. 62PS Ch. 2.4 - Prob. 63PS Ch. 2.4 - Prob. 64PS Ch. 2.4 - Prob. 65PS Ch. 2.4 - Prob. 1P Ch. 2.4 - Prob. 2P Ch. 2.4 - Prob. 3P Ch. 2.4 - Prob. 4P Ch. 2.4 - Prob. 5P Ch. 2.4 - Prob. 6P Ch. 2.4 - Prob. 7P Ch. 2.4 - Prob. 8P Ch. 2.4 - Prob. 9P Ch. 2.4 - Prob. 10P Ch. 2.5 - Prob. 1GP Ch. 2.5 - Prob. 2GP Ch. 2.5 - Prob. 3GP Ch. 2.5 - Prob. 4GP Ch. 2.5 - Prob. 5GP Ch. 2.5 - Prob. 6GP Ch. 2.5 - Prob. 7GP Ch. 2.5 - Prob. 8GP Ch. 2.5 - Prob. 9GP Ch. 2.5 - Prob. 1E Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Prob. 4E Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Prob. 7E Ch. 2.5 - Prob. 8E Ch. 2.5 - Prob. 9E Ch. 2.5 - Prob. 10E Ch. 2.5 - Prob. 11E Ch. 2.5 - Prob. 12E Ch. 2.5 - Prob. 13E Ch. 2.5 - Prob. 14E Ch. 2.5 - Prob. 15E Ch. 2.5 - Prob. 16E Ch. 2.5 - Prob. 17E Ch. 2.5 - Prob. 18E Ch. 2.5 - Prob. 19E Ch. 2.5 - Prob. 20E Ch. 2.5 - Prob. 21E Ch. 2.5 - Prob. 22E Ch. 2.5 - Prob. 23E Ch. 2.5 - Prob. 24E Ch. 2.5 - Prob. 25E Ch. 2.5 - Prob. 26E Ch. 2.5 - Prob. 27E Ch. 2.5 - Prob. 28E Ch. 2.5 - Prob. 29E Ch. 2.5 - Prob. 30E Ch. 2.5 - Prob. 31E Ch. 2.5 - Prob. 32E Ch. 2.5 - Prob. 33E Ch. 2.5 - Prob. 34E Ch. 2.5 - Prob. 35E Ch. 2.5 - Prob. 36E Ch. 2.5 - Prob. 37E Ch. 2.5 - Prob. 38E Ch. 2.5 - Prob. 39E Ch. 2.5 - Prob. 40E Ch. 2.5 - Prob. 41PS Ch. 2.5 - Prob. 42PS Ch. 2.5 - Prob. 43PS Ch. 2.5 - Prob. 44PS Ch. 2.5 - Prob. 45PS Ch. 2.5 - Prob. 46PS Ch. 2.5 - Prob. 1MRPS Ch. 2.5 - Prob. 2MRPS Ch. 2.5 - Prob. 3MRPS Ch. 2.5 - Prob. 4MRPS Ch. 2.5 - Prob. 5MRPS Ch. 2.5 - Prob. 6MRPS Ch. 2.5 - Prob. 7MRPS Ch. 2.6 - Prob. 1GP Ch. 2.6 - Prob. 2GP Ch. 2.6 - Prob. 3GP Ch. 2.6 - Prob. 4GP Ch. 2.6 - Prob. 5GP Ch. 2.6 - Prob. 6GP Ch. 2.6 - Prob. 7GP Ch. 2.6 - Prob. 1E Ch. 2.6 - Prob. 2E Ch. 2.6 - Prob. 3E Ch. 2.6 - Prob. 4E Ch. 2.6 - Prob. 5E Ch. 2.6 - Prob. 6E Ch. 2.6 - Prob. 7E Ch. 2.6 - Prob. 8E Ch. 2.6 - Prob. 9E Ch. 2.6 - Prob. 10E Ch. 2.6 - Prob. 11E Ch. 2.6 - Prob. 12E Ch. 2.6 - Prob. 13E Ch. 2.6 - Prob. 14E Ch. 2.6 - Prob. 15E Ch. 2.6 - Prob. 16E Ch. 2.6 - Prob. 17E Ch. 2.6 - Prob. 18E Ch. 2.6 - Prob. 19E Ch. 2.6 - Prob. 20E Ch. 2.6 - Prob. 21E Ch. 2.6 - Prob. 22E Ch. 2.6 - Prob. 23E Ch. 2.6 - Prob. 24E Ch. 2.6 - Prob. 25E Ch. 2.6 - Prob. 26E Ch. 2.6 - Prob. 27E Ch. 2.6 - Prob. 28E Ch. 2.6 - Prob. 29E Ch. 2.6 - Prob. 30E Ch. 2.6 - Prob. 31E Ch. 2.6 - Prob. 32E Ch. 2.6 - Prob. 33E Ch. 2.6 - Prob. 34E Ch. 2.6 - Prob. 35E Ch. 2.6 - Prob. 36E Ch. 2.6 - Prob. 37E Ch. 2.6 - Prob. 38E Ch. 2.6 - Prob. 39E Ch. 2.6 - Prob. 40E Ch. 2.6 - Prob. 41E Ch. 2.6 - Prob. 42E Ch. 2.6 - Prob. 43E Ch. 2.6 - Prob. 44E Ch. 2.6 - Prob. 45PS Ch. 2.6 - Prob. 46PS Ch. 2.6 - Prob. 47PS Ch. 2.6 - Prob. 48PS Ch. 2.6 - Prob. 49PS Ch. 2.6 - Prob. 50PS Ch. 2.6 - Prob. 51PS Ch. 2.6 - Prob. 1Q Ch. 2.6 - Prob. 2Q Ch. 2.6 - Prob. 3Q Ch. 2.6 - Prob. 4Q Ch. 2.6 - Prob. 5Q Ch. 2.6 - Prob. 6Q Ch. 2.6 - Prob. 7Q Ch. 2.6 - Prob. 8Q Ch. 2.6 - Prob. 9Q Ch. 2.6 - Prob. 10Q Ch. 2.6 - Prob. 11Q Ch. 2.6 - Prob. 12Q Ch. 2.6 - Prob. 13Q Ch. 2.6 - Prob. 1P Ch. 2.6 - Prob. 2P Ch. 2.6 - Prob. 3P Ch. 2.6 - Prob. 4P Ch. 2.7 - Prob. 1GP Ch. 2.7 - Prob. 2GP Ch. 2.7 - Prob. 3GP Ch. 2.7 - Prob. 4GP Ch. 2.7 - Prob. 5GP Ch. 2.7 - Prob. 6GP Ch. 2.7 - Prob. 7GP Ch. 2.7 - Prob. 8GP Ch. 2.7 - Prob. 9GP Ch. 2.7 - Prob. 10GP Ch. 2.7 - Prob. 11GP Ch. 2.7 - Prob. 12GP Ch. 2.7 - Prob. 1E Ch. 2.7 - Prob. 2E Ch. 2.7 - Prob. 3E Ch. 2.7 - Prob. 4E Ch. 2.7 - Prob. 5E Ch. 2.7 - Prob. 6E Ch. 2.7 - Prob. 7E Ch. 2.7 - Prob. 8E Ch. 2.7 - Prob. 9E Ch. 2.7 - Prob. 10E Ch. 2.7 - Prob. 11E Ch. 2.7 - Prob. 12E Ch. 2.7 - Prob. 13E Ch. 2.7 - Prob. 14E Ch. 2.7 - Prob. 15E Ch. 2.7 - Prob. 16E Ch. 2.7 - Prob. 17E Ch. 2.7 - Prob. 18E Ch. 2.7 - Prob. 19E Ch. 2.7 - Prob. 20E Ch. 2.7 - Prob. 21E Ch. 2.7 - Prob. 22E Ch. 2.7 - Prob. 23E Ch. 2.7 - Prob. 24E Ch. 2.7 - Prob. 25E Ch. 2.7 - Prob. 26E Ch. 2.7 - Prob. 27E Ch. 2.7 - Prob. 28E Ch. 2.7 - Prob. 29E Ch. 2.7 - Prob. 30E Ch. 2.7 - Prob. 31E Ch. 2.7 - Prob. 32E Ch. 2.7 - Prob. 33E Ch. 2.7 - Prob. 34E Ch. 2.7 - Prob. 35E Ch. 2.7 - Prob. 36E Ch. 2.7 - Prob. 37E Ch. 2.7 - Prob. 38E Ch. 2.7 - Prob. 39E Ch. 2.7 - Prob. 40E Ch. 2.7 - Prob. 41E Ch. 2.7 - Prob. 42E Ch. 2.7 - Prob. 43E Ch. 2.7 - Prob. 44E Ch. 2.7 - Prob. 45E Ch. 2.7 - Prob. 46E Ch. 2.7 - Prob. 47E Ch. 2.7 - Prob. 48E Ch. 2.7 - Prob. 49E Ch. 2.7 - Prob. 50E Ch. 2.7 - Prob. 51E Ch. 2.7 - Prob. 52E Ch. 2.7 - Prob. 53E Ch. 2.7 - Prob. 54E Ch. 2.7 - Prob. 55E Ch. 2.7 - Prob. 56E Ch. 2.7 - Prob. 57E Ch. 2.7 - Prob. 58E Ch. 2.7 - Prob. 59PS Ch. 2.7 - Prob. 60PS Ch. 2.7 - Prob. 61PS Ch. 2.7 - Prob. 62PS Ch. 2.7 - Prob. 63PS Ch. 2.7 - Prob. 64PS Ch. 2.7 - Prob. 65PS Ch. 2.8 - Prob. 1GP Ch. 2.8 - Prob. 2GP Ch. 2.8 - Prob. 3GP Ch. 2.8 - Prob. 4GP Ch. 2.8 - Prob. 5GP Ch. 2.8 - Prob. 1E Ch. 2.8 - Prob. 2E Ch. 2.8 - Prob. 3E Ch. 2.8 - Prob. 4E Ch. 2.8 - Prob. 5E Ch. 2.8 - Prob. 6E Ch. 2.8 - Prob. 7E Ch. 2.8 - Prob. 8E Ch. 2.8 - Prob. 9E Ch. 2.8 - Prob. 10E Ch. 2.8 - Prob. 11E Ch. 2.8 - Prob. 12E Ch. 2.8 - Prob. 13E Ch. 2.8 - Prob. 14E Ch. 2.8 - Prob. 15E Ch. 2.8 - Prob. 16E Ch. 2.8 - Prob. 17E Ch. 2.8 - Prob. 18E Ch. 2.8 - Prob. 19E Ch. 2.8 - Prob. 20E Ch. 2.8 - Prob. 21E Ch. 2.8 - Prob. 22E Ch. 2.8 - Prob. 23E Ch. 2.8 - Prob. 24E Ch. 2.8 - Prob. 25E Ch. 2.8 - Prob. 26E Ch. 2.8 - Prob. 27E Ch. 2.8 - Prob. 28E Ch. 2.8 - Prob. 29E Ch. 2.8 - Prob. 30E Ch. 2.8 - Prob. 31E Ch. 2.8 - Prob. 32E Ch. 2.8 - Prob. 33E Ch. 2.8 - Prob. 34E Ch. 2.8 - Prob. 35E Ch. 2.8 - Prob. 36E Ch. 2.8 - Prob. 37E Ch. 2.8 - Prob. 38E Ch. 2.8 - Prob. 39PS Ch. 2.8 - Prob. 40PS Ch. 2.8 - Prob. 41PS Ch. 2.8 - Prob. 42PS Ch. 2.8 - Prob. 43PS Ch. 2.8 - Prob. 44PS Ch. 2.8 - Prob. 1Q Ch. 2.8 - Prob. 2Q Ch. 2.8 - Prob. 3Q Ch. 2.8 - Prob. 4Q Ch. 2.8 - Prob. 5Q Ch. 2.8 - Prob. 6Q Ch. 2.8 - Prob. 7Q Ch. 2.8 - Prob. 8Q Ch. 2.8 - Prob. 9Q Ch. 2.8 - Prob. 10Q Ch. 2.8 - Prob. 1MRPS Ch. 2.8 - Prob. 2MRPS Ch. 2.8 - Prob. 3MRPS Ch. 2.8 - Prob. 4MRPS Ch. 2.8 - Prob. 5MRPS Ch. 2.8 - Prob. 6MRPS Ch. 2.8 - Prob. 7MRPS Ch. 2 - Prob. 1VE Ch. 2 - Prob. 2VE Ch. 2 - Prob. 3VE Ch. 2 - Prob. 4VE Ch. 2 - Prob. 5REAE Ch. 2 - Prob. 6REAE Ch. 2 - Prob. 7REAE Ch. 2 - Prob. 8REAE Ch. 2 - Prob. 9REAE Ch. 2 - Prob. 10REAE Ch. 2 - Prob. 11REAE Ch. 2 - Prob. 12REAE Ch. 2 - Prob. 13REAE Ch. 2 - Prob. 14REAE Ch. 2 - Prob. 15REAE Ch. 2 - Prob. 16REAE Ch. 2 - Prob. 17REAE Ch. 2 - Prob. 18REAE Ch. 2 - Prob. 19REAE Ch. 2 - Prob. 20REAE Ch. 2 - Prob. 21REAE Ch. 2 - Prob. 22REAE Ch. 2 - Prob. 23REAE Ch. 2 - Prob. 24REAE Ch. 2 - Prob. 25REAE Ch. 2 - Prob. 26REAE Ch. 2 - Prob. 27REAE Ch. 2 - Prob. 28REAE Ch. 2 - Prob. 29REAE Ch. 2 - Prob. 30REAE Ch. 2 - Prob. 31REAE Ch. 2 - Prob. 32REAE Ch. 2 - Prob. 33REAE Ch. 2 - Prob. 34REAE Ch. 2 - Prob. 35REAE Ch. 2 - Prob. 36REAE Ch. 2 - Prob. 37REAE Ch. 2 - Prob. 38REAE Ch. 2 - Prob. 39REAE Ch. 2 - Prob. 40REAE Ch. 2 - Prob. 1T Ch. 2 - Prob. 2T Ch. 2 - Prob. 3T Ch. 2 - Prob. 4T Ch. 2 - Prob. 5T Ch. 2 - Prob. 6T Ch. 2 - Prob. 7T Ch. 2 - Prob. 8T Ch. 2 - Prob. 9T Ch. 2 - Prob. 10T Ch. 2 - Prob. 11T Ch. 2 - Prob. 12T Ch. 2 - Prob. 13T Ch. 2 - Prob. 14T Ch. 2 - Prob. 15T Ch. 2 - Prob. 16T Ch. 2 - Prob. 17T Ch. 2 - Prob. 18T Ch. 2 - Prob. 19T Ch. 2 - Prob. 20T Ch. 2 - Prob. 21T Ch. 2 - Prob. 22T Ch. 2 - Prob. 23T Ch. 2 - Prob. 24T Ch. 2 - Prob. 25T Ch. 2 - Prob. 26T Ch. 2 - Prob. 27T Ch. 2 - Prob. 28T Ch. 2 - Prob. 29T Ch. 2 - Prob. 1P Ch. 2 - Prob. 2P Ch. 2 - Prob. 1TP Ch. 2 - Prob. 2TP Ch. 2 - Prob. 3TP Ch. 2 - Prob. 4TP Ch. 2 - Prob. 5TP Ch. 2 - Prob. 6TP Ch. 2 - Prob. 7TP Ch. 2 - Prob. 8TP Ch. 2 - Prob. 9TP Ch. 2 - Prob. 10TP Ch. 2 - Prob. 11TP Ch. 2 - Prob. 12TP Ch. 2 - Prob. 13TP Ch. 2 - Prob. 14TP Ch. 2 - Prob. 15TP Ch. 2 - Prob. 16TP Ch. 2 - Prob. 17TP Ch. 2 - Prob. 18TP Ch. 2 - Prob. 19TP Ch. 2 - Prob. 20TP Ch. 2 - Prob. 21TP

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Solution Summary: The labelled diagram of the sculpture in terms of x is given as follows.

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