 12.5.13E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.14E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.15E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.16E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.17E: The speedometer on your car reads a steady 35 mph. Could you be acc...
 12.5.18E: Can anything be said about the acceleration of a particle that is m...
 12.5.19E: Can anything be said about the speed of a particle whose accelerati...
 12.5.20E: An object of mass m travels along the parabola y = x2 with a consta...
 12.5.21E: Vector formula for curvature For a smooth curve, use Equation (1) t...
 12.5.22E: Show that a moving particle will move in a straight line if the nor...
 12.5.23E: A sometime shortcut to curvature If you already know aN and v, ...
 12.5.24E: Show that and are both zero for the line
 12.5.25E: What can be said about the torsion of a smooth plane curve ? Give r...
 12.5.26E: The torsion of a helix Show that the torsion of the helix is What i...
 12.5.27E: Differentiable curves with zero torsion lie in planes That a suffic...
 12.5.28E: A formula that calculates from B and v If we start with the definit...
 12.5.29CE: Rounding the answers to four decimal places, use a CAS to find v, a...
 12.5.30CE: Rounding the answers to four decimal places, use a CAS to find v, a...
 12.5.31CE: Rounding the answers to four decimal places, use a CAS to find v, a...
 12.5.32CE: Rounding the answers to four decimal places, use a CAS to find v, a...
 12.5.1E: In Exercises 1 and 2, write a in the form without finding T and N.
 12.5.2E: In Exercises 1 and 2, write a in the form without finding T and N.
 12.5.3E: In Exercises 3–6, write a in the form at the given value of t witho...
 12.5.4E: In Exercises 3–6, write a in the form at the given value of t witho...
 12.5.5E: In Exercises 3–6, write a in the form at the given value of t witho...
 12.5.6E: In Exercises 3–6, write a in the form at the given value of t witho...
 12.5.7E: In Exercises 7 and 8, find r, T, N, and B at the given value of t. ...
 12.5.8E: In Exercises 7 and 8, find r, T, N, and B at the given value of t. ...
 12.5.9E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.10E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.11E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
 12.5.12E: In Exercises 9–16 of Section 12.4, you found T, N, and . Now, in th...
Solutions for Chapter 12.5: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 12.5
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Since 32 problems in chapter 12.5 have been answered, more than 54934 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Chapter 12.5 includes 32 full stepbystep solutions.

Branches
The two separate curves that make up a hyperbola

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

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

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Imaginary part of a complex number
See Complex number.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Open interval
An interval that does not include its endpoints.

Partial sums
See Sequence of partial sums.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Sample space
Set of all possible outcomes of an experiment.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Slopeintercept form (of a line)
y = mx + b

Solve a triangle
To find one or more unknown sides or angles of a triangle

Stem
The initial digit or digits of a number in a stemplot.