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# Solutions for Chapter 3.7: IMPLICIT FUNCTIONS

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

ISBN: 9780470888612

Solutions for Chapter 3.7: IMPLICIT FUNCTIONS

Solutions for Chapter 3.7
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##### ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. Since 46 problems in chapter 3.7: IMPLICIT FUNCTIONS have been answered, more than 43286 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Chapter 3.7: IMPLICIT FUNCTIONS includes 46 full step-by-step solutions.

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.

• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Inverse secant function

The function y = sec-1 x

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Midpoint (in a coordinate plane)

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

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Principle of mathematical induction

A principle related to mathematical induction.

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

• Variation

See Power function.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

• Xmin

The x-value of the left side of the viewing window,.

• z-axis

Usually the third dimension in Cartesian space.

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