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# Solutions for Chapter 7.4: Partial Derivatives ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 7.4: Partial Derivatives

Solutions for Chapter 7.4
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##### ISBN: 9780618547197

Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Since 77 problems in chapter 7.4: Partial Derivatives have been answered, more than 22891 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.4: Partial Derivatives includes 77 full step-by-step solutions. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Common difference

See Arithmetic sequence.

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Directed angle

See Polar coordinates.

• Dot product

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

• Empty set

A set with no elements

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Horizontal shrink or stretch

See Shrink, stretch.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Minute

Angle measure equal to 1/60 of a degree.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Reciprocal identity

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

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• xy-plane

The points x, y, 0 in Cartesian space.

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