 4.9.1: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.2: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.3: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.4: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.5: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.6: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.7: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.8: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.9: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.10: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.11: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.12: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.13: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.14: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.15: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.16: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.17: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.18: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.19: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.20: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.21: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.22: 122 Find the most general antiderivative of the function. (Check yo...
 4.9.23: 2324 Find the antiderivative F of f that satisfies the given condit...
 4.9.24: 2324 Find the antiderivative F of f that satisfies the given condit...
 4.9.25: 2548 Find f. f 0sxd 20x 3 2 12x 2 1 6x
 4.9.26: 2548 Find f. f 0sxd x 6 2 4x 4 1 x 1 1
 4.9.27: 2548 Find f. f 0sxd 2x 1 3ex
 4.9.28: 2548 Find f. f 0sxd 1yx 2
 4.9.29: 2548 Find f. f std 12 1 sin t
 4.9.30: 2548 Find f. f std st 2 2 cos t
 4.9.31: 2548 Find f. f9sxd 1 1 3sx , fs4d 25
 4.9.32: 2548 Find f. f9sxd 5x 4 2 3x 2 1 4, fs21d 2
 4.9.33: 2548 Find f. f9std 4ys1 1 t2d, fs1d 0
 4.9.34: 2548 Find f. f9std t 1 1yt3, t . 0, fs1d 6
 4.9.35: 2548 Find f. f9sxd 5x 2y3, fs8d 21
 4.9.36: 2548 Find f. f9sxd sx 1 1dysx , fs1d 5
 4.9.37: 2548 Find f. f9std sec t ssec t 1 tan td, 2y2 , t , y2,fsy4d 21
 4.9.38: 2548 Find f. f9std 3t 2 3yt, fs1d 2, fs21d 1
 4.9.39: 2548 Find f. f 0sxd 22 1 12x 2 12x 2, fs0d 4, f9s0d 12
 4.9.40: 2548 Find f. f 0sxd 8x 3 1 5, fs1d 0, f9s1d 8
 4.9.41: 2548 Find f. f 0sd sin 1 cos , fs0d 3, f9s0d 4
 4.9.42: 2548 Find f. . f 0std t2 1 1yt2, t . 0, fs2d 3, f9s1d 2
 4.9.43: 2548 Find f. f 0sxd 4 1 6x 1 24x 2, fs0d 3, fs1d 10
 4.9.44: 2548 Find f. f 0sxd x 3 1 sinh x, fs0d 1, fs2d 2.6
 4.9.45: 2548 Find f. f 0sxd ex 2 2 sin x, fs0d 3, fsy2d 0
 4.9.46: 2548 Find f. f 0std s 3 t 2 cos t, fs0d 2, fs1d 2
 4.9.47: 2548 Find f. f 0sxd x 22, x . 0, fs1d 0, fs2d 0
 4.9.48: 2548 Find f. f sxd cos x, fs0d 1, f9s0d 2, f 0s0d 3
 4.9.49: Given that the graph of f passes through the point (2, 5) and that ...
 4.9.50: Find a function f such that f9sxd x 3 and the line x 1 y 0 is tange...
 4.9.51: 5152 The graph of a function f is shown. Which graph is an antideri...
 4.9.52: 5152 The graph of a function f is shown. Which graph is an antideri...
 4.9.53: The graph of a function is shown in the figure. Make a rough sketch...
 4.9.54: The graph of the velocity function of a particle is shown in the fi...
 4.9.55: The graph of f9 is shown in the figure. Sketch the graph of f if f ...
 4.9.56: (a) Use a graphing device to graph fsxd 2x 2 3sx . (b) Starting wit...
 4.9.57: 5758 Draw a graph of f and use it to make a rough sketch of the ant...
 4.9.58: 5758 Draw a graph of f and use it to make a rough sketch of the ant...
 4.9.59: 5964 A particle is moving with the given data. Find the position of...
 4.9.60: 5964 A particle is moving with the given data. Find the position of...
 4.9.61: 5964 A particle is moving with the given data. Find the position of...
 4.9.62: 5964 A particle is moving with the given data. Find the position of...
 4.9.63: 5964 A particle is moving with the given data. Find the position of...
 4.9.64: 5964 A particle is moving with the given data. Find the position of...
 4.9.65: A stone is dropped from the upper observation deck (the Space Deck)...
 4.9.66: Show that for motion in a straight line with constant acceleration ...
 4.9.67: An object is projected upward with initial velocity v0 meters per s...
 4.9.68: Two balls are thrown upward from the edge of the cliff in Example 7...
 4.9.69: A stone was dropped off a cliff and hit the ground with a speed of ...
 4.9.70: If a diver of mass m stands at the end of a diving board with lengt...
 4.9.71: A company estimates that the marginal cost (in dollars per item) of...
 4.9.72: The linear density of a rod of length 1 m is given by sxd 1ysx , in...
 4.9.73: Since raindrops grow as they fall, their surface area increases and...
 4.9.74: A car is traveling at 50 miyh when the brakes are fully applied, pr...
 4.9.75: What constant acceleration is required to increase the speed of a c...
 4.9.76: A car braked with a constant deceleration of 16 ftys 2 , producing ...
 4.9.77: A car is traveling at 100 kmyh when the driver sees an accident 80 ...
 4.9.78: A model rocket is fired vertically upward from rest. Its accelerati...
 4.9.79: A highspeed bullet train accelerates and decelerates at the rate o...
Solutions for Chapter 4.9: Antiderivatives
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 4.9: Antiderivatives
Get Full SolutionsSingle Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 79 problems in chapter 4.9: Antiderivatives have been answered, more than 38105 students have viewed full stepbystep solutions from this chapter. Chapter 4.9: Antiderivatives includes 79 full stepbystep solutions.

Arcsecant function
See Inverse secant function.

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Frequency table (in statistics)
A table showing frequencies.

Horizontal translation
A shift of a graph to the left or right.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

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

Obtuse triangle
A triangle in which one angle is greater than 90°.

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

Orthogonal vectors
Two vectors u and v with u x v = 0.

Pointslope form (of a line)
y  y1 = m1x  x 12.

Polar form of a complex number
See Trigonometric form of a complex number.

Reciprocal function
The function ƒ(x) = 1x

Reference angle
See Reference triangle

Relation
A set of ordered pairs of real numbers.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Spiral of Archimedes
The graph of the polar curve.

Vertex of a cone
See Right circular cone.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.