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# Solutions for Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 5.5
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##### 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

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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