 12.1.1E: In Exercises 1–4, r(t) is the position of a particle in the xyplan...
 12.1.2E: In Exercises 1–4, r(t) is the position of a particle in the xyplan...
 12.1.3E: In Exercises 1–4, r(t) is the position of a particle in the xyplan...
 12.1.4E: In Exercises 1–4, r(t) is the position of a particle in the xyplan...
 12.1.5E: Exercises 5–8 give the position vectors of particles moving along v...
 12.1.6E: Exercises 5–8 give the position vectors of particles moving along v...
 12.1.7E: Exercises 5–8 give the position vectors of particles moving along v...
 12.1.8E: Exercises 5–8 give the position vectors of particles moving along v...
 12.1.9E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.10E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.11E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.12E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.13E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.14E: In Exercises 9–14, r(t) is the position of a particle in space at t...
 12.1.15E: In Exercises 15–18, r(t) is the position of a particle in space at ...
 12.1.16E: In Exercises 15–18, r(t) is the position of a particle in space at ...
 12.1.17E: In Exercises 15–18, r(t) is the position of a particle in space at ...
 12.1.18E: In Exercises 15–18, r(t) is the position of a particle in space at ...
 12.1.19E: As mentioned in the text, the tangent line to a smooth curve at is ...
 12.1.20E: As mentioned in the text, the tangent line to a smooth curve at is ...
 12.1.21E: As mentioned in the text, the tangent line to a smooth curve at is ...
 12.1.22E: As mentioned in the text, the tangent line to a smooth curve at is ...
 12.1.23E: Motion along a circle Each of the following equations in parts (a)–...
 12.1.24E: Motion along a circle Show that the vectorvalued function describe...
 12.1.25E: Motion along a parabola A particle moves along the top of the parab...
 12.1.26E: Motion along a cycloid A particle moves in the xyplane in such a w...
 12.1.27E: Let r be a differentiable vector function of t. Show that if for al...
 12.1.28E: Derivatives of triple scalar productsa. Show that if u, v, and w ar...
 12.1.29E: Prove the two Scalar Multiple Rules for vector functions.
 12.1.30E: Prove the Sum and Difference Rules for vector functions.
 12.1.31E: Component Test for Continuity at a Point Show that the vector funct...
 12.1.32E: Limits of cross products of vector functions Suppose that Use the d...
 12.1.33E: Differentiable vector functions are continuous Show that if is diff...
 12.1.34E: Constant Function Rule Prove that if u is the vector function with ...
 12.1.35CE: Use a CAS to perform the following steps in Exercises 35–38.a. Plot...
 12.1.36CE: Use a CAS to perform the following steps in Exercises 35–38.a. Plot...
 12.1.37CE: Use a CAS to perform the following steps in Exercises 35–38.a. Plot...
 12.1.38CE: Use a CAS to perform the following steps in Exercises 35–38.a. Plot...
 12.1.39CE: In Exercises 39 and 40, you will explore graphically the behavior o...
 12.1.40CE: In Exercises 39 and 40, you will explore graphically the behavior o...
Solutions for Chapter 12.1: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 12.1
Get Full SolutionsThis textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Chapter 12.1 includes 40 full stepbystep solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Since 40 problems in chapter 12.1 have been answered, more than 55078 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Acute angle
An angle whose measure is between 0° and 90°

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Cosecant
The function y = csc x

Demand curve
p = g(x), where x represents demand and p represents price

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

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

Factored form
The left side of u(v + w) = uv + uw.

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Horizontal component
See Component form of a vector.

Index
See Radical.

Interquartile range
The difference between the third quartile and the first quartile.

Line of travel
The path along which an object travels

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Reexpression of data
A transformation of a data set.

Reflection
Two points that are symmetric with respect to a lineor a point.

Ymin
The yvalue of the bottom of the viewing window.

Yscl
The scale of the tick marks on the yaxis in a viewing window.