 5.4.1E: Evaluate the integrals in Exercises 1–34.
 5.4.2E: Evaluate the integrals in Exercises 1–34.
 5.4.3E: Evaluate the integrals in Exercises 1–34.
 5.4.4E: Evaluate the integrals in Exercises 1–34.
 5.4.5E: Evaluate the integrals in Exercises 1–34.
 5.4.6E: Evaluate the integrals in Exercises 1–34.
 5.4.7E: Evaluate the integrals in Exercises 1–34.
 5.4.8E: Evaluate the integrals in Exercises 1–34.
 5.4.9E: Evaluate the integrals in Exercises 1–34.
 5.4.10E: Evaluate the integrals in Exercises 1–34.
 5.4.11E: Evaluate the integrals in Exercises 1–34.
 5.4.12E: Evaluate the integrals in Exercises 1–34.
 5.4.13E: Evaluate the integrals in Exercises 1–34.
 5.4.14E: Evaluate the integrals in Exercises 1–34.
 5.4.15E: Evaluate the integrals in Exercises 1–34.
 5.4.16E: Evaluate the integrals in Exercises 1–34.
 5.4.17E: Evaluate the integrals in Exercises 1–34.
 5.4.18E: Evaluate the integrals in Exercises 1–34.
 5.4.19E: Evaluate the integrals in Exercises 1–34.
 5.4.20E: Evaluate the integrals in Exercises 1–34.
 5.4.21E: Evaluate the integrals in Exercises 1–34.
 5.4.22E: Evaluate the integrals in Exercises 1–34.
 5.4.23E: Evaluate the integrals in Exercises 1–34.
 5.4.24E: Evaluate the integrals in Exercises 1–34.
 5.4.25E: Evaluate the integrals in Exercises 1–34.
 5.4.26E: Evaluate the integrals in Exercises 1–34.
 5.4.27E: Evaluate the integrals in Exercises 1–34.
 5.4.28E: Evaluate the integrals in Exercises 1–34.
 5.4.29E: Evaluate the integrals in Exercises 1–34.
 5.4.30E: Evaluate the integrals in Exercises 1–34.
 5.4.31E: Evaluate the integrals in Exercises 1–34.
 5.4.32E: Evaluate the integrals in Exercises 1–34.
 5.4.33E: Evaluate the integrals in Exercises 1–34.
 5.4.34E: Evaluate the integrals in Exercises 1–34.
 5.4.35E: In Exercises 35–38, guess an antiderivative for the integrand funct...
 5.4.36E: In Exercises 35–38, guess an antiderivative for the integrand funct...
 5.4.37E: In Exercises 35–38, guess an antiderivative for the integrand funct...
 5.4.38E: In Exercises 35–38, guess an antiderivative for the integrand funct...
 5.4.39E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.40E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.41E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.42E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.43E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.44E: Find the derivatives in Exercises 39–44.a. by evaluating the integr...
 5.4.45E: Find dy/dx in Exercises 45–56.
 5.4.46E: Find dy/dx in Exercises 45–56.
 5.4.47E: Find dy/dx in Exercises 45–56.
 5.4.48E: Find dy/dx in Exercises 45–56.
 5.4.49E: Find dy/dx in Exercises 45–56.
 5.4.50E: Find dy/dx in Exercises 45–56.
 5.4.51E: Find dy/dx in Exercises 45–56.
 5.4.52E: Find dy/dx in Exercises 45–56.
 5.4.53E: Find dy/dx in Exercises 45–56.
 5.4.54E: Find dy/dx in Exercises 45–56.
 5.4.55E: Find dy/dx in Exercises 45–56.
 5.4.56E: Find dy/dx in Exercises 45–56.
 5.4.57E: In Exercises 57–60, find the total area between the region and the ...
 5.4.58E: In Exercises 57–60, find the total area between the region and the ...
 5.4.59E: In Exercises 57–60, find the total area between the region and the ...
 5.4.60E: In Exercises 57–60, find the total area between the region and the ...
 5.4.61E: Find the areas of the shaded regions in Exercises 61–64.
 5.4.62E: Find the areas of the shaded regions in Exercises 61–64.
 5.4.63E: Find the areas of the shaded regions in Exercises 61–64.
 5.4.64E: Find the areas of the shaded regions in Exercises 61–64.
 5.4.65E: Each of the following functions solves one of the initial value pro...
 5.4.66E: Each of the following functions solves one of the initial value pro...
 5.4.67E: Each of the following functions solves one of the initial value pro...
 5.4.68E: Each of the following functions solves one of the initial value pro...
 5.4.69E: Express the solutions of the initial value problems in Exercises 69...
 5.4.70E: Express the solutions of the initial value problems in Exercises 69...
 5.4.71E: Archimedes’ area formula for parabolic arches Archimedes (287–212 B...
 5.4.72E: Show that if k is a positive constant, then the area between the x...
 5.4.73E: Cost from marginal cost The marginal cost of printing a poster when...
 5.4.74E: Revenue from marginal revenue Suppose that a company’s marginal rev...
 5.4.75E: The temperature T(°F) of a room at time t minutes is given bya. Fin...
 5.4.76E: The height H (ft) of a palm tree after growing for t years is given...
 5.4.77E: Suppose that Find ƒ(x).
 5.4.78E: Find ƒ(4) if
 5.4.79E: Find the linearization of at x = 1.
 5.4.80E: Find the linearization of at x = 1.
 5.4.81E: Suppose that ƒ has a positive derivative for all values of x and th...
 5.4.82E: Another proof of the Evaluation Theorema. Let be any partition of [...
 5.4.83E: Suppose that ƒ is the differentiable function shown in the accompan...
 5.4.84E: Find
 5.4.85CE: In Exercises 85–88, let for the specified function ƒ and interval [...
 5.4.86CE: In Exercises 85–88, let for the specified function ƒ and interval [...
 5.4.87CE: In Exercises 85–88, let for the specified function ƒ and interval [...
 5.4.88CE: In Exercises 85–88, let for the specified function ƒ and interval [...
 5.4.89CE: In Exercises 89–92, let for the specified a, u, and ƒ. Use a CAS to...
 5.4.90CE: In Exercises 89–92, let for the specified a, u, and ƒ. Use a CAS to...
 5.4.91CE: In Exercises 89–92, let for the specified a, u, and ƒ. Use a CAS to...
 5.4.92CE: In Exercises 89–92, let for the specified a, u, and ƒ. Use a CAS to...
 5.4.93CE: In Exercises 93 and 94, assume that ƒ is continuous and u(x) is twi...
 5.4.94CE: In Exercises 93 and 94, assume that ƒ is continuous and u(x) is twi...
Solutions for Chapter 5.4: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 5.4
Get Full SolutionsChapter 5.4 includes 94 full stepbystep solutions. Since 94 problems in chapter 5.4 have been answered, more than 54998 students have viewed full stepbystep solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2.

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Compounded continuously
Interest compounded using the formula A = Pert

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Directed line segment
See Arrow.

Exponential form
An equation written with exponents instead of logarithms.

Frequency
Reciprocal of the period of a sinusoid.

Gaussian curve
See Normal curve.

Index
See Radical.

Intercept
Point where a curve crosses the x, y, or zaxis in a graph.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Limit to growth
See Logistic growth function.

Normal distribution
A distribution of data shaped like the normal curve.

Pole
See Polar coordinate system.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Sum of an infinite series
See Convergence of a series

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

Xmin
The xvalue of the left side of the viewing window,.

xyplane
The points x, y, 0 in Cartesian space.