 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 8061 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 Patricia and is associated to the ISBN: 9781559536547.

Acute triangle
A triangle in which all angles measure less than 90°

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Common difference
See Arithmetic sequence.

Complex fraction
See Compound fraction.

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Equilibrium price
See Equilibrium point.

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Initial side of an angle
See Angle.

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

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)

Minute
Angle measure equal to 1/60 of a degree.

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.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Real number line
A horizontal line that represents the set of real numbers.

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Tangent
The function y = tan x

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

Vertical translation
A shift of a graph up or down.

Vertices of a hyperbola
The points where a hyperbola intersects the line containing its foci.
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