 86.Q1: If y = x3, then dL (arc length) = ?.
 86.Q2: If y = tan x, then dL = ?.
 86.Q3: sin5 x cos x dx = ?
 86.Q4: ?
 86.Q5: If y = x ex, then y = ?.
 86.Q6: The maximum of y = x2 8x + 14 on the interval [1, 6] is ?
 86.Q7: Write the definition of derivative.
 86.Q8: Give the physical meaning of derivative.
 86.Q9: sec 2x dx = ?
 86.Q10: If lim Un = lim Ln for function f, then f is ?. A. Differentiable B...
 86.1: Paraboloid Problem: A paraboloid is formed by rotating about the y...
 86.2: Rotated Sinusoid Problem: One arch of the graph of y = sin x is rot...
 86.3: ln Curved Surface, I: The graph of y = ln x from x = 1 to x = 3 is ...
 86.4: ln Curved Surface, II: The graph of y = ln x from x = 1 to x = 3 is...
 86.5: Reciprocal Curved Surface I: The graph of y = 1/x from x = 0.5 to x...
 86.6: Reciprocal Curved Surface II: The graph of y = 1/x from x = 0.5 to ...
 86.7: Cubic Paraboloid I: The cubic paraboloid y = x3 from x = 0 to x = 2...
 86.8: Cubic Paraboloid II: The part of the cubic parabola y = x3 + 5x2 8x...
 86.9: For 916, write an integral equal to the area of the surface. Evalua...
 86.10: For 916, write an integral equal to the area of the surface. Evalua...
 86.11: For 916, write an integral equal to the area of the surface. Evalua...
 86.12: For 916, write an integral equal to the area of the surface. Evalua...
 86.13: For 916, write an integral equal to the area of the surface. Evalua...
 86.14: For 916, write an integral equal to the area of the surface. Evalua...
 86.15: For 916, write an integral equal to the area of the surface. Evalua...
 86.16: For 916, write an integral equal to the area of the surface. Evalua...
 86.17: 7. Sphere Zone Problem: The circle with equation x2 + y2 = 25 is ro...
 86.18: Sphere Total Area Formula Problem: Prove that the surface area of a...
 86.19: Sphere Volume and Surface Problem: You can find the volume of a sph...
 86.20: Sphere Rate of Change of Volume Problem: Prove that the instantaneo...
 86.21: Paraboloid Surface Area Problem: Figure 86k shows the paraboloid f...
 86.22: Zone of a Paraboloid Problem: Zones of equal altitude on a sphere h...
 86.23: Ellipsoid Problem: The ellipse with xradius 5 and yradius 3 and p...
 86.24: Cooling Tower Problem: Cooling towers for some power plants are mad...
 86.25: Lateral Area of a Cone Problem: Figure 86m shows a cone of radius ...
 86.26: Lateral Area of a Frustum Problem: Figure 86n shows that a frustum...
Solutions for Chapter 86: Length of a Plane CurveArc Length
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 86: Length of a Plane CurveArc Length
Get Full SolutionsChapter 86: Length of a Plane CurveArc Length includes 36 full stepbystep solutions. Since 36 problems in chapter 86: Length of a Plane CurveArc Length have been answered, more than 15341 students have viewed full stepbystep solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Dependent variable
Variable representing the range value of a function (usually y)

Equation
A statement of equality between two expressions.

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Equivalent arrows
Arrows that have the same magnitude and direction.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Horizontal shrink or stretch
See Shrink, stretch.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Parameter
See Parametric equations.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Scatter plot
A plot of all the ordered pairs of a twovariable data set on a coordinate plane.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.