 63.Q1: Differentiate: y = tan1 x
 63.Q2: Integrate: (4x + 1)1 dx
 63.Q3: Find: lim (sin x)/(x)
 63.Q4: log 12 log 48 = log ?
 63.Q5: log 7 + log 5 = log ?
 63.Q6: 3 log 2 = log ?
 63.Q7: Sketch the graph of y dx for the function shown in Figure 63e. Fig...
 63.Q8: Write one hypothesis of the mean value theorem
 63.Q9: Write the other hypothesis of the mean value theorem
 63.Q10: If y = x3, then the value of dy when x = 2 and dx = 0.1 is ?. A. 12...
 63.1: For 16, show that the properties of ln are true by evaluating both ...
 63.2: For 16, show that the properties of ln are true by evaluating both ...
 63.3: For 16, show that the properties of ln are true by evaluating both ...
 63.4: For 16, show that the properties of ln are true by evaluating both ...
 63.5: For 16, show that the properties of ln are true by evaluating both ...
 63.6: For 16, show that the properties of ln are true by evaluating both ...
 63.7: For 7 and 8, prove the properties. Do this without looking at the p...
 63.8: Prove that ln x = loge x for all x 0
 63.9: Prove that ln (a/b) = ln a ln b for all a 0 and b 0.
 63.10: Prove that ln (ab) = b ln a for all a 0 and for all b.
 63.11: Prove that ln (a/b) = ln a ln b again, using the property given in ...
 63.12: Prove by counterexample that ln (a + b) does not equal ln a + ln b.
 63.13: Write the definition of ln x as a definite integral.
 63.14: Write the changeofbase property for logarithms.
 63.15: For 15 and 16, find an equation for the derivative of the given fun...
 63.16: For 15 and 16, find an equation for the derivative of the given fun...
 63.17: For 1724, find an equation for the derivative of the given function...
 63.18: For 1724, find an equation for the derivative of the given function...
 63.19: For 1724, find an equation for the derivative of the given function...
 63.20: For 1724, find an equation for the derivative of the given function...
 63.21: For 1724, find an equation for the derivative of the given function...
 63.22: For 1724, find an equation for the derivative of the given function...
 63.23: For 1724, find an equation for the derivative of the given function...
 63.24: For 1724, find an equation for the derivative of the given function...
 63.25: Find (ln x3x
 63.26: Find (ln 5sec x)
 63.27: Lava Flow Problem: Velocities are measured in miles per hour. (When...
 63.28: Compound Interest Problem: If interest on a savings account is comp...
 63.29: Base e for Natural Logarithms Problem: Figure 63g shows the graph ...
 63.30: Journal Problem: Update your journal with what youve learned about ...
Solutions for Chapter 63: The Uniqueness Theorem and Properties of Logarithmic Functions
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 63: The Uniqueness Theorem and Properties of Logarithmic Functions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 63: The Uniqueness Theorem and Properties of Logarithmic Functions includes 40 full stepbystep solutions. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Since 40 problems in chapter 63: The Uniqueness Theorem and Properties of Logarithmic Functions have been answered, more than 7967 students have viewed full stepbystep solutions from this chapter.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Complex conjugates
Complex numbers a + bi and a  bi

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Hypotenuse
Side opposite the right angle in a right triangle.

Initial value of a function
ƒ 0.

Leaf
The final digit of a number in a stemplot.

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Natural numbers
The numbers 1, 2, 3, . . . ,.

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Parametrization
A set of parametric equations for a curve.

Probability function
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.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Terminal side of an angle
See Angle.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

Ymin
The yvalue of the bottom of the viewing window.
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