×
×

# Solutions for Chapter 7: Single Variable Calculus 7th Edition ## Full solutions for Single Variable Calculus | 7th Edition

ISBN: 9780538497831 Solutions for Chapter 7

Solutions for Chapter 7
4 5 0 240 Reviews
20
1
##### ISBN: 9780538497831

Chapter 7 includes 80 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 80 problems in chapter 7 have been answered, more than 5201 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831.

Key Calculus Terms and definitions covered in this textbook
• Average velocity

The change in position divided by the change in time.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Difference identity

An identity involving a trigonometric function of u - v

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Equivalent arrows

Arrows that have the same magnitude and direction.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Invertible linear system

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

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• 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)

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Principle of mathematical induction

A principle related to mathematical induction.

• Proportional

See Power function

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• 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>.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

×