- 4-7.Q1: Differentiate: y = 0.2x1215
- 4-7.Q2: Find
- 4-7.Q3: Find (x): f(x) = x ln x
- 4-7.Q4: Find : y = sin e5x
- 4-7.Q5: Find ( y): y =
- 4-7.Q6: Differentiate: y =
- 4-7.Q7: Find : = cos1 x
- 4-7.Q8: If (5) = 3, what can you conclude about v(t) at t = 5?
- 4-7.Q9: For Figure 4-7f, sketch the graph of .
- 4-7.Q10: If (7) = 4, which of these can you conclude about u(x) at x = 8? A....
- 4-7.1: For 1 and 2, find x = t4y = sin 3t
- 4-7.2: For 1 and 2, find x = 6 ln ty = t3
- 4-7.3: Parabola Problem: A parametric function has the equationsx = 2 + t ...
- 4-7.4: Semicubical Parabola Problem: A parametric function has the equatio...
- 4-7.5: Ellipse Problem: The ellipse in Figure 4-7g has the parametric equa...
- 4-7.6: Astroid Problem: The star-shaped curve in Figure 4-7h is called an ...
- 4-7.7: Circle Problem: A parametric function has the equations x = 6 + 5 c...
- 4-7.8: Line Segment Problem: Plot the graph of the parametric function x =...
- 4-7.9: Deltoid Problem: The graph shown in Figure 4-7i is called a deltoid...
- 4-7.10: Witch of Agnesi Problem: The Witch of Agnesi, named for Italian mat...
- 4-7.11: Involute Problem: A string is wrapped around a circle with radius 1...
- 4-7.12: Clock Problem: A clock sits on a shelf close to a wall (Figure 4-7l...
- 4-7.13: Pendulum Experiment: Suspend a small mass from the ceiling on the e...
- 4-7.14: Spring Problem: Figure 4-7n shows a spring drawn by computer graphi...
- 4-7.15: Lissajous Curves: You can make a pendulum swing with different peri...
Solutions for Chapter 4-7: Derivatives of a Parametric Function
Full solutions for Calculus: Concepts and Applications | 2nd Edition
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 three-dimensional space and ordered triples of real numbers
The two separate curves that make up a hyperbola
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.
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
The measure of an angle in degrees, minutes, and seconds
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .
Zeros of a function that are irrational numbers.
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.
A square matrix with nonzero determinant
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
See Sequence of partial sums.
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.
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.
See n factorial.