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# Solutions for Chapter 13.1: Vector Functions and Space Curves

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 13.1: Vector Functions and Space Curves

Solutions for Chapter 13.1
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##### ISBN: 9780534393397

This expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 13.1: Vector Functions and Space Curves includes 43 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 43 problems in chapter 13.1: Vector Functions and Space Curves have been answered, more than 43775 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Cotangent

The function y = cot x

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Distributive property

a(b + c) = ab + ac and related properties

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Second

Angle measure equal to 1/60 of a minute.

• Singular matrix

A square matrix with zero determinant

• Slope

Ratio change in y/change in x

• Solution set of an inequality

The set of all solutions of an inequality

• Solve a system

To find all solutions of a system.

• Time plot

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

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