 87.Q1: Differentiate: f(x) = 5x3 7x2 + 4x 11
 87.Q2: Differentiate: g(x) = (4x 9)3
 87.Q3: Differentiate: h(x) = sin3 x
 87.Q4: Differentiate: u(x) = sec 3x
 87.Q5: Differentiate: v(x) = e
 87.Q6: Differentiate: r(x) = 1/x
 87.Q7: Integrate: (1/x) dx
 87.Q8: Integrate: x dx
 87.Q9: Integrate: 3 dx
 87.Q10: Integrate: dx
 87.1: . Figure 87f shows the polar graph of the circle r = 10 sin , with...
 87.2: Find the length of the circle r = 10 sin in Figure 87f that is tra...
 87.3: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.4: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.5: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.6: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.7: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.8: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.9: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.10: For 310, a. Plot the graph, thus confirming the one given here. b. ...
 87.11: Figure 87g shows the lemniscate of Bernoulli with polar equation W...
 87.12: The polar graph of r = csc + 4 is a conchoid of Nicomedes. The grap...
 87.13: Figure 87h shows these polar graphs. Cardioid: r = 4 + 4 cos Circl...
 87.14: Find the area of the region that is inside the circle r = 5 and out...
 87.15: Figure 87i shows the Archimedean spiral r = 0.5 . Figure 87i a. F...
 87.16: For the limaon r = 4 + 6 cos , find the area of the region that lie...
 87.17: Column Scroll Problem: The spiral design at the top of Ionic column...
 87.18: Line Problem: Show that the graph of r = sec is a line. Find the le...
 87.19: LP Record Project: In this project you will calculate the length of...
 87.20: Keplers Law Project: Figure 87j shows the path of a satellite in a...
 87.21: The Derivative dy/dx for Polar Coordinates Problem: Figure 87k sho...
 87.22: ProjectThe Angle Between the Radius and the Tangent Line: A remarka...
Solutions for Chapter 87: Lengths and Areas for Polar Coordinates
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 87: Lengths and Areas for Polar Coordinates
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 32 problems in chapter 87: Lengths and Areas for Polar Coordinates have been answered, more than 8075 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 87: Lengths and Areas for Polar Coordinates includes 32 full stepbystep solutions.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Circle graph
A circular graphical display of categorical data

Complex fraction
See Compound fraction.

Convenience sample
A sample that sacrifices randomness for convenience

Determinant
A number that is associated with a square matrix

Direct variation
See Power function.

Exponential regression
A procedure for fitting an exponential function to a set of data.

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Feasible points
Points that satisfy the constraints in a linear programming problem.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Real axis
See Complex plane.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Right triangle
A triangle with a 90° angle.

Solve by substitution
Method for solving systems of linear equations.

Time plot
A line graph in which time is measured on the horizontal axis.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.
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