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# Solutions for Chapter 10.1: CURVES DEFINED BY PARAMETRIC EQUATIONS

## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 10.1: CURVES DEFINED BY PARAMETRIC EQUATIONS

Solutions for Chapter 10.1
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##### ISBN: 9780538497879

Chapter 10.1: CURVES DEFINED BY PARAMETRIC EQUATIONS includes 52 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Since 52 problems in chapter 10.1: CURVES DEFINED BY PARAMETRIC EQUATIONS have been answered, more than 22555 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inductive step

See Mathematical induction.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Odd-even identity

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

• Outcomes

The various possible results of an experiment.

• Rose curve

A graph of a polar equation or r = a cos nu.

• Standard deviation

A measure of how a data set is spread

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• x-intercept

A point that lies on both the graph and the x-axis,.

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