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Solutions for Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Solutions for Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 5.5
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Textbook: Applied Calculus
Edition: 5
Author: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more
ISBN: 9781118174920

Since 23 problems in chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 35377 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS includes 23 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920.

Key Calculus Terms and definitions covered in this textbook
  • Absolute maximum

    A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

  • Absolute value of a complex number

    The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

  • Circle

    A set of points in a plane equally distant from a fixed point called the center

  • Circular functions

    Trigonometric functions when applied to real numbers are circular functions

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • Discriminant

    For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

  • End behavior

    The behavior of a graph of a function as.

  • Equal matrices

    Matrices that have the same order and equal corresponding elements.

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Minute

    Angle measure equal to 1/60 of a degree.

  • Period

    See Periodic function.

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Quadrant

    Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

  • Quotient rule of logarithms

    logb a R S b = 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.

  • Standard position (angle)

    An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • Vertices of an ellipse

    The points where the ellipse intersects its focal axis.

  • x-coordinate

    The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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