- 2-6.Q1: Evaluate f(2) if f(x) = 3x4 + 5.
- 2-6.Q2: Find f(x) if f(x) =3x4 + 5.
- 2-6.Q3: Evaluate h(3) if h(x) = 5(x 3)/(x 3).
- 2-6.Q4: Find h(x) if h(x) = 5(x 3)/(x 3).
- 2-6.Q5: Evaluate s(0) if s(x) = |x|/x.
- 2-6.Q6: Find s(x) if s(x) = |x|/x.
- 2-6.Q7: Evaluate: sin ( /2)
- 2-6.Q8: Fill in the blank with the correct operation: log (xy) = log x ? lo...
- 2-6.Q9: The expression 0/0 is called a(n) ? form.
- 2-6.Q10: Which of these definitely is not true if f(x) takes the form 0/0 as...
- 2-6.1: For 1 and 2, explain why the intermediate value theorem applies on ...
- 2-6.2: For 1 and 2, explain why the intermediate value theorem applies on ...
- 2-6.3: Converse of the Intermediate Value Theorem? The intermediate value ...
- 2-6.4: Figure 2-6e shows the graph of if x is rational if x is irrational ...
- 2-6.5: Use the intermediate value theorem to prove that there is a real nu...
- 2-6.6: Use the intermediate value theorem to prove that if f is continuous...
- 2-6.7: The intermediate value theorem is an example of an existence theore...
- 2-6.8: Sweetheart Problem: You wish to visit your sweetheart, but you dont...
- 2-6.9: Foot Race Problem: Jesse and Kay run the 1000-m race. One minute af...
- 2-6.10: Postage Stamp Problem: U.S. postage rates in 2003 for first-class l...
- 2-6.11: Cosine Function Problem: Figure 2-6g is agraph of f(x) = cos x. Rec...
- 2-6.12: Exponential Function Problem: Figure 2-6h is a graph of f(x) = 2x. ...
- 2-6.13: The Extreme Value Theorem: The extreme value theorem expresses the ...
- 2-6.14: The Image Theorem: The image theorem, a corollary of the intermedia...
Solutions for Chapter 2-6: The Intermediate Value Theorem and Its Consequences
Full solutions for Calculus: Concepts and Applications | 2nd Edition
The probability of an event A given that an event B has already occurred
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
Reciprocal of the period of a sinusoid.
See Frequency table.
Future value of an annuity
The net amount of money returned from an annuity.
Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.
The difference between the third quartile and the first quartile.
Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b
Mode of a data set
The category or number that occurs most frequently in the set.
Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.
See Linear programming problem.
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.
Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.
See Parametric equations.
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.
The magnitude of the velocity vector, given by distance/time.
Standard form of a complex number
a + bi, where a and b are real numbers
Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i
The numbers 0, 1, 2, 3, ... .
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.