University Calculus, Early Transcendent...3rd EditionJoel R. Hass, Maurice D. Weir Publisher: PEARSONISBN: 9780321999597
University Calculus, Early Transcendent...
Solutions for University Calculus, Early Transcendentals, Single Variable Plus MyLab Math -- Access Card Package (3rd Edition)
Problem 7GYR:
7. How is a function’s differentiability at a point related to its continuity there, if at all?
Problem 17GYR:
17. What do the limits and have to do with the derivatives of the sine and cosine functions? What...Problem 20GYR:
20. What is the rule for calculating the derivative of a composition of two differentiable...Problem 33GYR:
If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the...Problem 1PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=x50.125x2+0.25xProblem 2PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=30.7x3+0.3x7Problem 7PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=(2+sec+1)3Problem 8PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=(1csc224)2Problem 12PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=1sin2x2sinxProblem 18PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. r=2cosProblem 19PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. r=sin2Problem 20PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. r=sin(++1)Problem 21PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=12x2csc2xProblem 22PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=2xsinxProblem 24PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=xcsc(x+1)3Problem 25PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=5cotx2Problem 26PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=x2cot5xProblem 27PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=x2sin2(2x2)Problem 28PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=x2sin2(x3)Problem 30PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. s=115(15t1)3Problem 31PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=(x1+x)2Problem 32PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=(2x2x+1)2Problem 37PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=(2x+1)2x+1Problem 39PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=3(5x2+sin2x)3/2Problem 41PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=10ex/5Problem 42PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=2e2xProblem 43PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=14xe4x116e4xProblem 44PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=x2e2/xProblem 46PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=ln(sec2)Problem 47PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=log2(x2/2)Problem 49PE:
Derivatives of Functions Find the derivatives of the functions in Exercises 1-64. y=8tProblem 66PE:
Implicit Differentiation In Exercises 65-78, find dy/dx implicit differentiation. x2+xy+y25x=2Problem 85PE:
Numerical Values of Derivatives Suppose that functions f(x) and g(x) and their first derivatives...Problem 86PE:
Numerical Values of Derivatives
86. Suppose that the function and its first derivative have the...Problem 90PE:
Numerical Values of Derivatives Find the value of dr/dt at t=0 if r=(2+7)1/3 and 2t+=1.Problem 104PE:
104. Intersecting tangent lines Show that the tangent lines to the curve at and intersect at right...Problem 132PE:
Show how to extend the functions in Exercises 131 and 132 to be continuous at the origin.
132.
...Problem 139PE:
139. Right circular cylinder The total surface area of a right circular cylinder is related to the...Problem 140PE:
Cubes changing edges The volume of a cube is increasing at the rate of 1200 cm3/min at the instant...Problem 141PE:
Resistors connected in parallel If two resistors of R1 and R2 ohms are connected in parallel in an...Problem 142PE:
144. Impedance in a series circuit The impedance (ohms) in a series circuit is related to the...Problem 143PE:
Speed of moving particle The coordinates of a particle moving in the metric xy-plane are...Problem 144PE:
146. Motion of a particle A particle moves along the curve in the first quadrant in such a way that...Problem 145PE:
147. Draining a tank Water drains from the conical tank shown in the accompanying figure at the rate...Problem 146PE:
Rotating spool Astelevision cable is pulled from a large spool to be strung from the telephone poles...Problem 147PE:
Moving searchlight beam The figure shows a boat 1 km off-shore, sweeping the shore with a...Problem 148PE:
Points moving on coordinate axes Points A and B move along the x- and y- axes, respectively, in such...Problem 149PE:
151. Find the linearizations of
a. at .
b. at .
Graph the curves and linearizations together.
Problem 150PE:
152. We can obtain a useful linear approximation of the function at by combining the approximations ...Problem 151PE:
153. Find the linearization of at.
Problem 152PE:
Find the linearization of f(x)=2/(1x)+1+x3.1 at x=0.Problem 153PE:
155. Surface area of a cone Write a formula that estimates the change that occurs in the lateral...Problem 155PE:
Compounding error The circumference of the equator of a sphere is measured as 10 cm with a possible...Problem 1AAE:
An equation like sin2+cos2=1 is called an identity because it holds for all values of . An equation...Problem 2AAE:
If the identity sin(x+a)=sinxscosa+cosxsina is differentiated with respect to x(with a assumed to be...Problem 3AAE:
3. a. Find values for the constants that will make and satisfy the conditions .
b. Find values for...Problem 4AAE:
5. An osculating circle Find the values of and that make the circle tangent to the parabola at the...Problem 5AAE:
Industrial production Economists often use the expression rate of growth in relative rather than...Problem 6AAE:
Designing a gondola The designer of a 30-ft-diameter spherical hot air balloon wants to suspend the...Problem 7AAE:
9. Pisa by parachute On August 5, 1988, Mike McCarthy of London jumped from the top of the Tower of...Problem 8AAE:
Motion of a particle The position at time t0 of a particle moving along a coordinate line is...Problem 9AAE:
11. Shooting a paper clip On Earth, you can easily shoot a paper clip 64ft straight up into the air...Problem 12AAE:
16. Average and instantaneous velocity
a. Show that if the positionof a moving point is given by a...Problem 13AAE:
Find all values of the constants m and b for which the function y={sinx,xmx+b,x is continuous at x=....Problem 15AAE:
19. a. For what values of and will
be differentiable for all values of ?
b. Discuss the geometry...Problem 16AAE:
For what values of a and b will g(x)={ax+b,x1ax3+x+2b,x1 be differentiable for all values of x?...Problem 17AAE:
Odd differentiable functions Is there anything special about the derivative of an odd differentiable...Problem 18AAE:
Even differentiable functions Is there anything special about the derivative of an even...Problem 19AAE:
Suppose that the functions f and g are defined throughout an open interval containing the point x,...Problem 20AAE:
(Continuation of Exercise 23.) Use the result of Exercise 23 to show that the following functions...Browse All Chapters of This Textbook
Chapter 1.1 - Functions And Their GraphsChapter 1.2 - Combining Functions; Shifting And Scaling GraphsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Graphing With SoftwareChapter 1.5 - Exponential FunctionsChapter 1.6 - Inverse Functions And LogarithmsChapter 2 - Limits And ContinuityChapter 2.1 - Rates Of Change And Tangent To CurvesChapter 2.2 - Limit Of A Function And Limit LawsChapter 2.3 - The Precise Definition Of A Limit
Chapter 2.4 - One-sided LimitsChapter 2.5 - ContinuityChapter 2.6 - Limits Involving Infinity; Asymptotes Of GraphsChapter 3 - DerivativesChapter 3.1 - Tangent And The Derivative At A PointChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - The Derivative As A Rate Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Implicit DifferentiationChapter 3.8 - Derivatives Of Inverse Functions And LogarithmsChapter 3.9 - Inverse Trigonometric FunctionsChapter 3.10 - Related RatesChapter 3.11 - Linearization And DifferentialsChapter 5.1 - Area And Estimating With Finite Sums
Book Details
University Calculus, Early Transcendentals, Third Edition helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching.
Sample Solutions for this Textbook
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More Editions of This Book
Corresponding editions of this textbook are also available below:
Student's Solutions Manual For University Calculus: Early Transcendentals, Single Variable
2nd Edition
ISBN: 9780321694621
University Calculus, Early Transcendentals, Single Variable (2nd Edition)
2nd Edition
ISBN: 9780321694591
University Calculus, Early Transcendentals, Single Variableplus New Mymathlab With Pearson Etext -- Access Card Package (2nd Edition)
2nd Edition
ISBN: 9780321790699
Student Solutions Manual for University Calculus: Early Transcendentals, Single Variable
3rd Edition
ISBN: 9780321999801
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
3rd Edition
ISBN: 9780321999634
University Calculus: Early Transcendentals, Single Variable, Loose-leaf Edition (4th Edition)
4th Edition
ISBN: 9780135166659
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