 7.1.1: In Exercises 14, plot the points on the same threedimensional coor...
 7.1.2: In Exercises 14, plot the points on the same threedimensional coor...
 7.1.3: In Exercises 14, plot the points on the same threedimensional coor...
 7.1.4: In Exercises 14, plot the points on the same threedimensional coor...
 7.1.5: In Exercises 58, find the distance between the two points. 4, 1, 5,...
 7.1.6: In Exercises 58, find the distance between the two points. 4, 1, 1,...
 7.1.7: In Exercises 58, find the distance between the two points. 1, 5, 7,...
 7.1.8: In Exercises 58, find the distance between the two points. 8, 2, 2,...
 7.1.9: In Exercises 912, find the coordinates of the midpoint of the line ...
 7.1.10: In Exercises 912, find the coordinates of the midpoint of the line ...
 7.1.11: In Exercises 912, find the coordinates of the midpoint of the line ...
 7.1.12: In Exercises 912, find the coordinates of the midpoint of the line ...
 7.1.13: In Exercises 1316, find x, y, z.
 7.1.14: In Exercises 1316, find x, y, z.
 7.1.15: In Exercises 1316, find x, y, z.
 7.1.16: In Exercises 1316, find x, y, z.
 7.1.17: In Exercises 1720, find the lengths of the sides of the triangle wi...
 7.1.18: In Exercises 1720, find the lengths of the sides of the triangle wi...
 7.1.19: In Exercises 1720, find the lengths of the sides of the triangle wi...
 7.1.20: In Exercises 1720, find the lengths of the sides of the triangle wi...
 7.1.21: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.22: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.23: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.24: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.25: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.26: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.27: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.28: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.29: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.30: In Exercises 2130, find the standard form of the equation of the sp...
 7.1.31: In Exercises 3136, find the spheres center and radius. 2 y 2 z2 5x 0 1
 7.1.32: In Exercises 3136, find the spheres center and radius. x2 y 2 z2 8y...
 7.1.33: In Exercises 3136, find the spheres center and radius. x2 y 2 z2 2x...
 7.1.34: In Exercises 3136, find the spheres center and radius. x2 y 2 z2 4y...
 7.1.35: In Exercises 3136, find the spheres center and radius. 2x2 2y 2 2z2...
 7.1.36: In Exercises 3136, find the spheres center and radius. 4x2 4y2 4z2 ...
 7.1.37: In Exercises 3740, sketch the xytrace of the sphere. x 12 y 32 z 2...
 7.1.38: In Exercises 3740, sketch the xytrace of the sphere. x 12 y 22 z 2...
 7.1.39: In Exercises 3740, sketch the xytrace of the sphere. x2 y2 z2 6x 1...
 7.1.40: In Exercises 3740, sketch the xytrace of the sphere. x2 y2 z2 4y 2...
 7.1.41: In Exercises 41 and 42, sketch the yztrace of the sphere. x2 y 2 z...
 7.1.42: In Exercises 41 and 42, sketch the yztrace of the sphere. x2 y 2 z...
 7.1.43: In Exercises 4346, sketch the trace of the intersection of each pla...
 7.1.44: In Exercises 4346, sketch the trace of the intersection of each pla...
 7.1.45: In Exercises 4346, sketch the trace of the intersection of each pla...
 7.1.46: In Exercises 4346, sketch the trace of the intersection of each pla...
 7.1.47: Geology Crystals are classified according to their symmetry. Crysta...
 7.1.48: Physical Science Assume that Earth is a sphere with a radius of 396...
Solutions for Chapter 7.1: The ThreeDimensional Coordinate System
Full solutions for Brief Calculus: An Applied Approach  7th Edition
ISBN: 9780618547197
Solutions for Chapter 7.1: The ThreeDimensional Coordinate System
Get Full SolutionsThis textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Chapter 7.1: The ThreeDimensional Coordinate System includes 48 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Since 48 problems in chapter 7.1: The ThreeDimensional Coordinate System have been answered, more than 23925 students have viewed full stepbystep solutions from this chapter.

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Common logarithm
A logarithm with base 10.

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Cube root
nth root, where n = 3 (see Principal nth root),

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Exponential form
An equation written with exponents instead of logarithms.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Inverse cotangent function
The function y = cot1 x

Leaf
The final digit of a number in a stemplot.

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Polar axis
See Polar coordinate system.

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

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

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

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Standard deviation
A measure of how a data set is spread

Standard form of a complex number
a + bi, where a and b are real numbers

Vertical component
See Component form of a vector.