 113.Q1: What is the volume of a cone inscribed in a 6cm3 cylinder?
 113.Q2: What is the volume of a paraboloid inscribed in a 6cm3 cylinder?
 113.Q3: Sketch the graph: y = sin x
 113.Q4: Sketch the graph: y = ln x
 113.Q5: Sketch the graph: y = 2x
 113.Q6: Sketch the graph: y = x2
 113.Q7: Density = (?)/(?)
 113.Q8: Work = (?)(?)
 113.Q9: If y = sin1 x, then = ?.
 113.Q10: y varies linearly with x. If x = 0, y = 12 and if x = 2, y = 20. If...
 113.1: The region bounded by the graph of y = ln x, the xaxis, and the li...
 113.2: The region bounded by the graph of y = sin x and the xaxis, betwee...
 113.3: The region under the graph of y = 9 x2 is rotated about the yaxis ...
 113.4: The region bounded by the graphs of y = and y = 0.5x is rotated abo...
 113.5: Two Cone Problem: Two cones have the same sizebase radius 3 in. and...
 113.6: Two Cylinder Problem: Two cylinders have the same shape3in. radius...
 113.7: The region bounded by the graphs of y = 4 2x2, y = 3 x2, and x = 0 ...
 113.8: The region in (Figure 113f) is rotated about the yaxis to form a ...
 113.9: Uranium Fuel Pellet Problem: Uranium oxide is used as a fuel in nuc...
 113.10: The triangular region in the first quadrant,bounded by the graphs o...
 113.11: Find the mass of a sphere of radius r if a. The density varies dire...
 113.12: Mass of Earth Problem: The density of Earth is about 12 g/cm3 at it...
 113.13: The region under the graph of y = ex from x = 0 to x = /2 is rotate...
 113.14: Buckminsters Elliptical Dome Problem: Architect Buckminster Fuller ...
Solutions for Chapter 113: Mass of a VariableDensity Object
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 113: Mass of a VariableDensity Object
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Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Compounded monthly
See Compounded k times per year.

Independent variable
Variable representing the domain value of a function (usually x).

Interquartile range
The difference between the third quartile and the first quartile.

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Modulus
See Absolute value of a complex number.

Open interval
An interval that does not include its endpoints.

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Right triangle
A triangle with a 90° angle.

Second quartile
See Quartile.

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Transformation
A function that maps real numbers to real numbers.

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.