- 11-2.Q1: What is the area under one arch of y = sin x?
- 11-2.Q2: What is the area under y = 4 x2 from x = 2 to x = 2?
- 11-2.Q3: Find a velocity equation if the acceleration is a = tan t.
- 11-2.Q4: Find the acceleration equation if the velocity is v = ln t.
- 11-2.Q5: Name the theorem that allows definite integrals to be calculated by...
- 11-2.Q6: f(x) dx is a (n) ? sum
- 11-2.Q7: Name the technique for integrating ex cos x dx.
- 11-2.Q8: Name the technique for finding dy/dx if x3y5 = x sin2 y.
- 11-2.Q9: Name the quick method for resolving an expression into partial frac...
- 11-2.Q10: The average value of y = sin x for one complete cycle is ?. A. 0 B....
- 11-2.1: Leaking Bucket Problem: Llara pulls a bucket of water up from the b...
- 11-2.2: Spaceship Problem: A spaceship on a launchpad weighs 30 tons (Figur...
- 11-2.3: Spring Problem: It takes work to compress a spring (work = force di...
- 11-2.4: Table Moving Problem: You push a table across the floor. At first, ...
- 11-2.5: Conical Reservoir Problem: A conical reservoir 30 ft in diameter an...
- 11-2.6: Paraboloidal Tank Problem: A tank is made in the shape of the parab...
- 11-2.7: Spherical Water Tower Problem: A spherical water tower 40 ft in dia...
- 11-2.8: Flooded Ship Problem: A compartment in a ship is flooded to a depth...
- 11-2.9: Carnot Cycle Problem: An automobile engine works by burning gasolin...
Solutions for Chapter 11-2: Work Done by a Variable Force
Full solutions for Calculus: Concepts and Applications | 2nd Edition
Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec
A polynomial with exactly two terms
Distance (on a number line)
The distance between real numbers a and b, or |a - b|
The behavior of a graph of a function as.
Matrices that have the same order and equal corresponding elements.
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.
First-degree equation in x , y, and z
An equation that can be written in the form.
The minimum, first quartile, median, third quartile, and maximum of a data set.
Imaginary part of a complex number
See Complex number.
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a
Magnitude of an arrow
The magnitude of PQ is the distance between P and Q
Multiplication principle of counting
A principle used to find the number of ways an event can occur.
See Numerical derivative of ƒ at x = a.
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.
The graph in three dimensions of a seconddegree equation in three variables.
Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.
A logarithmic scale used in measuring the intensity of an earthquake.
Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>
A point that lies on both the graph and the x-axis,.