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# Solutions for Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 6.4
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##### ISBN: 9780470888612

Since 53 problems in chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 43276 students have viewed full step-by-step solutions from this chapter. Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS includes 53 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Complex conjugates

Complex numbers a + bi and a - bi

• Domain of a function

The set of all input values for a function

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Heron’s formula

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

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

See Polynomial function in x

• Least-squares line

See Linear regression line.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Objective function

See Linear programming problem.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Scalar

A real number.

• Sequence

See Finite sequence, Infinite sequence.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Statistic

A number that measures a quantitative variable for a sample from a population.

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