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# Solutions for Chapter 3.3: THE CHAIN RULE ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 3.3: THE CHAIN RULE

Solutions for Chapter 3.3
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##### ISBN: 9781118174920

Chapter 3.3: THE CHAIN RULE includes 51 full step-by-step solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 51 problems in chapter 3.3: THE CHAIN RULE have been answered, more than 21244 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Anchor

See Mathematical induction.

• Axis of symmetry

See Line of symmetry.

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Magnitude of a real number

See Absolute value of a real number

• Monomial function

A polynomial with exactly one term.

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Reciprocal identity

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

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Second

Angle measure equal to 1/60 of a minute.

• 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.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Transformation

A function that maps real numbers to real numbers.

• Variance

The square of the standard deviation.

• Window dimensions

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

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