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# Solutions for Chapter 1.3: New Functions from Old Functions ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 1.3: New Functions from Old Functions

Solutions for Chapter 1.3
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##### ISBN: 9780534393397

Since 64 problems in chapter 1.3: New Functions from Old Functions have been answered, more than 43478 students have viewed full step-by-step solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 1.3: New Functions from Old Functions includes 64 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

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

Denoted by |a|, represents the number a or the positive number -a if a < 0.

If u < v , then u + w < v + w

• Commutative properties

a + b = b + a ab = ba

• Compounded annually

See Compounded k times per year.

• Compounded monthly

See Compounded k times per year.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Horizontal line

y = b.

• Index

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

See Polynomial function in x

• Line of travel

The path along which an object travels

• 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

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Negative linear correlation

See Linear correlation.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Rose curve

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

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

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