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# Solutions for Chapter 5.3: The Fundamental Theorem of Calculus

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 5.3: The Fundamental Theorem of Calculus

Solutions for Chapter 5.3
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. Since 70 problems in chapter 5.3: The Fundamental Theorem of Calculus have been answered, more than 43849 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.3: The Fundamental Theorem of Calculus includes 70 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Compounded annually

See Compounded k times per year.

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Equation

A statement of equality between two expressions.

• Exponent

See nth power of a.

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

An equation that can be written in the form.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Inverse cosine function

The function y = cos-1 x

• Leaf

The final digit of a number in a stemplot.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Nonsingular matrix

A square matrix with nonzero determinant

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Outcomes

The various possible results of an experiment.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Second quartile

See Quartile.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Slope-intercept form (of a line)

y = mx + b

• Solution set of an inequality

The set of all solutions of an inequality

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