- 8-6.Q1: If y = x3, then dL (arc length) = ?.
- 8-6.Q2: If y = tan x, then dL = ?.
- 8-6.Q3: sin5 x cos x dx = ?
- 8-6.Q4: ?
- 8-6.Q5: If y = x ex, then y = ?.
- 8-6.Q6: The maximum of y = x2 8x + 14 on the interval [1, 6] is ?
- 8-6.Q7: Write the definition of derivative.
- 8-6.Q8: Give the physical meaning of derivative.
- 8-6.Q9: sec 2x dx = ?
- 8-6.Q10: If lim Un = lim Ln for function f, then f is ?. A. Differentiable B...
- 8-6.1: Paraboloid Problem: A paraboloid is formed by rotating about the y-...
- 8-6.2: Rotated Sinusoid Problem: One arch of the graph of y = sin x is rot...
- 8-6.3: ln Curved Surface, I: The graph of y = ln x from x = 1 to x = 3 is ...
- 8-6.4: ln Curved Surface, II: The graph of y = ln x from x = 1 to x = 3 is...
- 8-6.5: Reciprocal Curved Surface I: The graph of y = 1/x from x = 0.5 to x...
- 8-6.6: Reciprocal Curved Surface II: The graph of y = 1/x from x = 0.5 to ...
- 8-6.7: Cubic Paraboloid I: The cubic paraboloid y = x3 from x = 0 to x = 2...
- 8-6.8: Cubic Paraboloid II: The part of the cubic parabola y = x3 + 5x2 8x...
- 8-6.9: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.10: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.11: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.12: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.13: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.14: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.15: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.16: For 916, write an integral equal to the area of the surface. Evalua...
- 8-6.17: 7. Sphere Zone Problem: The circle with equation x2 + y2 = 25 is ro...
- 8-6.18: Sphere Total Area Formula Problem: Prove that the surface area of a...
- 8-6.19: Sphere Volume and Surface Problem: You can find the volume of a sph...
- 8-6.20: Sphere Rate of Change of Volume Problem: Prove that the instantaneo...
- 8-6.21: Paraboloid Surface Area Problem: Figure 8-6k shows the paraboloid f...
- 8-6.22: Zone of a Paraboloid Problem: Zones of equal altitude on a sphere h...
- 8-6.23: Ellipsoid Problem: The ellipse with x-radius 5 and y-radius 3 and p...
- 8-6.24: Cooling Tower Problem: Cooling towers for some power plants are mad...
- 8-6.25: Lateral Area of a Cone Problem: Figure 8-6m shows a cone of radius ...
- 8-6.26: Lateral Area of a Frustum Problem: Figure 8-6n shows that a frustum...
Solutions for Chapter 8-6: Length of a Plane CurveArc Length
Full solutions for Calculus: Concepts and Applications | 2nd Edition
See Inverse sine function.
The change in position divided by the change in time.
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
An observational study that gathers data from an entire population
Complements or complementary angles
Two angles of positive measure whose sum is 90°
See Linear programming problem.
Elements of a matrix
See Matrix element.
A shift of a graph to the left or right.
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.
See Sequence of partial sums.
An arrangement of elements of a set, in which order is important.
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.
Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)
Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
Re-expression of data
A transformation of a data set.
Stemplot (or stem-and-leaf plot)
An arrangement of a numerical data set into a specific tabular format.
A matrix consisting entirely of zeros.