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# Solutions for Chapter 4.3: GLOBAL MAXIMA AND MINIMA

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 4.3: GLOBAL MAXIMA AND MINIMA

Solutions for Chapter 4.3
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##### ISBN: 9781118174920

Since 47 problems in chapter 4.3: GLOBAL MAXIMA AND MINIMA have been answered, more than 6759 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.3: GLOBAL MAXIMA AND MINIMA includes 47 full step-by-step solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

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

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Determinant

A number that is associated with a square matrix

• Dihedral angle

An angle formed by two intersecting planes,

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Horizontal translation

A shift of a graph to the left or right.

• Inductive step

See Mathematical induction.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Negative linear correlation

See Linear correlation.

• Polar axis

See Polar coordinate system.

• Polar form of a complex number

See Trigonometric form of a complex number.

• Second

Angle measure equal to 1/60 of a minute.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Variation

See Power function.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• Xmax

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

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