 5.3.1: Explain exactly what is meant by the statement that differenti tx ...
 5.3.2: Let , where is the function whose graph is shown. (a) Evaluate for ...
 5.3.3: Let , where is the function whose graph is shown. (a) Evaluate , , ...
 5.3.4: Let , where is the function whose graph is shown. (a) Evaluate and ...
 5.3.5: Sketch the area represented by . Then find in two ways: (a) by usin...
 5.3.6: Sketch the area represented by . Then find in two ways: (a) by usin...
 5.3.7: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.8: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.9: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.10: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.11: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.12: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.13: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.14: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.15: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.16: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.17: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.18: Use Part 1 of the Fundamental Theorem of Calculus to find the deriv...
 5.3.19: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.20: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.21: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.22: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.23: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.24: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.25: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.26: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.27: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.28: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.29: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.30: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.31: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.32: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.33: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.34: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.35: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.36: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.37: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.38: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.39: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.40: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.41: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.42: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the i...
 5.3.43: Use a graph to give a rough estimate of the area of the region that...
 5.3.44: Use a graph to give a rough estimate of the area of the region that...
 5.3.45: Use a graph to give a rough estimate of the area of the region that...
 5.3.46: Use a graph to give a rough estimate of the area of the region that...
 5.3.47: Evaluate the integral and interpret it as a difference of areas. Il...
 5.3.48: Evaluate the integral and interpret it as a difference of areas. Il...
 5.3.49: Find the derivative of the function
 5.3.50: Find the derivative of the function
 5.3.51: Find the derivative of the function
 5.3.52: Find the derivative of the function
 5.3.53: If , where ft yt 21s1 u4u
 5.3.54: Find the interval on which the curve y yx011 t t2 dt
 5.3.55: If f 1 12 f f , is continuous, and f x dx 17y , what is the value of ?
 5.3.56: The error function is used in probability, statistics, and engineer...
 5.3.57: The Fresnel function was defined in Example 3 and graphed in Figure...
 5.3.58: The sine integral function is important in electrical engineering. ...
 5.3.59: Let , where is the function whose graph is shown. (a) At what value...
 5.3.60: Let , where is the function whose graph is shown. (a) At what value...
 5.3.61: Evaluate the limit by first recognizing the sum as a Riemann sum fo...
 5.3.62: Evaluate the limit by first recognizing the sum as a Riemann sum fo...
 5.3.63: Justify (3) for the case .
 5.3.64: If is continuous and and are differentiable functions, find a formu...
 5.3.65: (a) Show that for . (b) Show that .
 5.3.66: Let 0x2 x0if x 0if 0 x 1if 1 x 2if x 2f x and (a) Find an expressio...
 5.3.67: Find a function and a number such that for all .
 5.3.68: The area labeled is three times the area labeled . Express in terms...
 5.3.69: A manufacturing company owns a major piece of equipment that deprec...
 5.3.70: A hightech company purchases a new computing system whose initial ...
Solutions for Chapter 5.3: The Fundamental Theorem of Calculus
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 5.3: The Fundamental Theorem of Calculus
Get Full SolutionsCalculus, was written by and is associated to the ISBN: 9780534393397. Since 70 problems in chapter 5.3: The Fundamental Theorem of Calculus have been answered, more than 43849 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.3: The Fundamental Theorem of Calculus includes 70 full stepbystep solutions.

Compounded annually
See Compounded k times per year.

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Equation
A statement of equality between two expressions.

Exponent
See nth power of a.

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Inverse cosine function
The function y = cos1 x

Leaf
The final digit of a number in a stemplot.

Line graph
A graph of data in which consecutive data points are connected by line segments

Nonsingular matrix
A square matrix with nonzero determinant

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Outcomes
The various possible results of an experiment.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Second quartile
See Quartile.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Slopeintercept form (of a line)
y = mx + b

Solution set of an inequality
The set of all solutions of an inequality