 47.Q1: Differentiate: y = 0.2x1215
 47.Q2: Find
 47.Q3: Find (x): f(x) = x ln x
 47.Q4: Find : y = sin e5x
 47.Q5: Find ( y): y =
 47.Q6: Differentiate: y =
 47.Q7: Find : = cos1 x
 47.Q8: If (5) = 3, what can you conclude about v(t) at t = 5?
 47.Q9: For Figure 47f, sketch the graph of .
 47.Q10: If (7) = 4, which of these can you conclude about u(x) at x = 8? A....
 47.1: For 1 and 2, find x = t4y = sin 3t
 47.2: For 1 and 2, find x = 6 ln ty = t3
 47.3: Parabola Problem: A parametric function has the equationsx = 2 + t ...
 47.4: Semicubical Parabola Problem: A parametric function has the equatio...
 47.5: Ellipse Problem: The ellipse in Figure 47g has the parametric equa...
 47.6: Astroid Problem: The starshaped curve in Figure 47h is called an ...
 47.7: Circle Problem: A parametric function has the equations x = 6 + 5 c...
 47.8: Line Segment Problem: Plot the graph of the parametric function x =...
 47.9: Deltoid Problem: The graph shown in Figure 47i is called a deltoid...
 47.10: Witch of Agnesi Problem: The Witch of Agnesi, named for Italian mat...
 47.11: Involute Problem: A string is wrapped around a circle with radius 1...
 47.12: Clock Problem: A clock sits on a shelf close to a wall (Figure 47l...
 47.13: Pendulum Experiment: Suspend a small mass from the ceiling on the e...
 47.14: Spring Problem: Figure 47n shows a spring drawn by computer graphi...
 47.15: Lissajous Curves: You can make a pendulum swing with different peri...
Solutions for Chapter 47: Derivatives of a Parametric Function
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 47: Derivatives of a Parametric Function
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 25 problems in chapter 47: Derivatives of a Parametric Function have been answered, more than 19350 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 47: Derivatives of a Parametric Function includes 25 full stepbystep solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547.

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.

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Branches
The two separate curves that make up a hyperbola

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

Constant
A letter or symbol that stands for a specific number,

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

DMS measure
The measure of an angle in degrees, minutes, and seconds

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

Irrational zeros
Zeros of a function that are irrational numbers.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Line of symmetry
A line over which a graph is the mirror image of itself

Natural exponential function
The function ƒ1x2 = ex.

Nonsingular matrix
A square matrix with nonzero determinant

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Partial sums
See Sequence of partial sums.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Spiral of Archimedes
The graph of the polar curve.

Statute mile
5280 feet.

Zero factorial
See n factorial.