×

×

# Solutions for Chapter 12.5: EQUATIONS OF LINES AND PLANES ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 12.5: EQUATIONS OF LINES AND PLANES

Solutions for Chapter 12.5
4 5 0 359 Reviews
30
3
##### ISBN: 9780538497879

Since 82 problems in chapter 12.5: EQUATIONS OF LINES AND PLANES have been answered, more than 54262 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: EQUATIONS OF LINES AND PLANES includes 82 full step-by-step solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Cosecant

The function y = csc x

• Course

See Bearing.

• Data

Facts collected for statistical purposes (singular form is datum)

• Dependent variable

Variable representing the range value of a function (usually y)

• Equivalent systems of equations

Systems of equations that have the same solution.

• Factored form

The left side of u(v + w) = uv + uw.

• 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.

• 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.

• Limit to growth

See Logistic growth function.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Order of magnitude (of n)

log n.

• Phase shift

See Sinusoid.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Rose curve

A graph of a polar equation or r = a cos nu.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.