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# Solutions for Chapter 13.2: Derivatives and Integrals of Vector Functions

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 13.2: Derivatives and Integrals of Vector Functions

Solutions for Chapter 13.2
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##### ISBN: 9780534393397

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.2: Derivatives and Integrals of Vector Functions includes 51 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. Since 51 problems in chapter 13.2: Derivatives and Integrals of Vector Functions have been answered, more than 43472 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Explanatory variable

A variable that affects a response variable.

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Leaf

The final digit of a number in a stemplot.

• Line of travel

The path along which an object travels

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Normal curve

The graph of ƒ(x) = e-x2/2

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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