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# Solutions for Chapter 5.1: Using Fundamental Identities ## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202 Solutions for Chapter 5.1: Using Fundamental Identities

Solutions for Chapter 5.1
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##### ISBN: 9781133947202

This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 76 problems in chapter 5.1: Using Fundamental Identities have been answered, more than 33954 students have viewed full step-by-step solutions from this chapter. Chapter 5.1: Using Fundamental Identities includes 76 full step-by-step solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202.

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

See Magnitude of a vector.

• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Equilibrium point

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

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Inverse variation

See Power function.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Linear function

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

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• 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).

• 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.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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