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# Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

Solutions for Chapter 12.2
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##### ISBN: 9780618502981

Chapter 12.2: Differentiation and Integration of Vector-Valued Functions includes 87 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 87 problems in chapter 12.2: Differentiation and Integration of Vector-Valued Functions have been answered, more than 78159 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981.

Key Calculus Terms and definitions covered in this textbook
• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Domain of a function

The set of all input values for a function

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Factoring (a polynomial)

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

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Initial side of an angle

See Angle.

• Interquartile range

The difference between the third quartile and the first quartile.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Parameter

See Parametric equations.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Principle of mathematical induction

A principle related to mathematical induction.

• Real zeros

Zeros of a function that are real numbers.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Terminal point

See Arrow.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

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