# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

1 Page

### math250_hw8

Course: MATH 715473, Fall 2009
School: CSU Northridge
Rating:

#### Document Preview

250 Calculus MATH III Spring 2008 Homework 8 Due: Thurs. April. 17, 2008 Section 13.1, pg. 679: 1, 5, 9, 17, 21, 23, Section 29. 13.2, pg. 683: 1, 5, 11, 15, 17, 19, 27, 33, 34, 35. Section 13.3, pg. 689: 3, 9, 13, 15, 31, 33, 37, 41.

Register Now

#### Unformatted Document Excerpt

Coursehero >> California >> CSU Northridge >> MATH 715473

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
250 Calculus MATH III Spring 2008 Homework 8 Due: Thurs. April. 17, 2008 Section 13.1, pg. 679: 1, 5, 9, 17, 21, 23, Section 29. 13.2, pg. 683: 1, 5, 11, 15, 17, 19, 27, 33, 34, 35. Sectio...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 9 Due: Thurs. April. 24, 2008 Section 13.4, pg. 695: 1, 3, 13, 19, 21, 33. Section 13.5, pg. 699: 3, 5, 7, 19. Section 13.7, pg. 711: 1, 3, 9, 11, 17.
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 9 Due: Thurs. April. 24, 2008 Section 13.4, pg. 695: 1, 3, 13, 19, 21, 33. Section 13.5, pg. 699: 3, 5, 7, 19. Section 13.7, pg. 711: 1, 3, 9, 11, 17.
CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 4 Due: Thurs. Feb. 28, 2008 Bzier Curves e Bzier Curves are often employed in computer aided design. These parametric curves are e dened by x(t) = x0 (1 t)3 + 3x1 t(1 t)2 + 3x2 t2 (1 t) + x3 t3 y(t) =
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 4 Due: Thurs. Feb. 28, 2008 Bzier Curves e Bzier Curves are often employed in computer aided design. These parametric curves are e dened by x(t) = x0 (1 t)3 + 3x1 t(1 t)2 + 3x2 t2 (1 t) + x3 t3 y(t) =
CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 11 Due: Thurs. May 15, 2008 Section 14.1, pg. 735: 1, 3, 7, 9, 13, 17, 21. Section 14.2, pg. 740: 1, 3, 5, 7, 17, 19, 21. Section 14.3, pg. 747: 1, 3, 5, 7, 13, 15, 21, 26.
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 11 Due: Thurs. May 15, 2008 Section 14.1, pg. 735: 1, 3, 7, 9, 13, 17, 21. Section 14.2, pg. 740: 1, 3, 5, 7, 17, 19, 21. Section 14.3, pg. 747: 1, 3, 5, 7, 13, 15, 21, 26.
CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 3 Due: Thurs. Feb. 14, 2008 Directions: For problems with multiple parts, do parts (a) and (c) only Section 11.6, pg. 592: Every odd. Section 11.7, pg. 601: 1, 5, 9, 13, 27, 33, 35, 43, 57, 61, 77.
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 3 Due: Thurs. Feb. 14, 2008 Directions: For problems with multiple parts, do parts (a) and (c) only Section 11.6, pg. 592: Every odd. Section 11.7, pg. 601: 1, 5, 9, 13, 27, 33, 35, 43, 57, 61, 77.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 5 Due: Tue. Oct. 9, 2007 Section 3.6, pg. 169: 1, 3, 11, 15, 17, 19, 21, 29, 35, 51. Section 3.7, READ the examples in the section carefully, make sure you understand them (ask me if anything is unclear), th
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 5 Due: Tue. Oct. 9, 2007 Section 3.6, pg. 169: 1, 3, 11, 15, 17, 19, 21, 29, 35, 51. Section 3.7, READ the examples in the section carefully, make sure you understand them (ask me if anything is unclear), th
CSU Northridge - MATH - 255
MATH 255Applied Honors Calculus IIIWinter 2005Homework 11 Due: Wed. Apr. 20, 2005 Section 17.7, pg. 1155: 5, 9, 11, 13, 19, 24, 33. Section 17.8, pg. 1161: 3, 7, 13, 15, 17, 19. Section 17.9, pg. 1168: 3, 7, 19, 25, 27.
CSU Northridge - MATH - 715473
MATH 255Applied Honors Calculus IIIWinter 2005Homework 11 Due: Wed. Apr. 20, 2005 Section 17.7, pg. 1155: 5, 9, 11, 13, 19, 24, 33. Section 17.8, pg. 1161: 3, 7, 13, 15, 17, 19. Section 17.9, pg. 1168: 3, 7, 19, 25, 27.
CSU Northridge - MATH - 255
MATH 255Applied Honors Calculus IIIWinter 2005Homework 10 Due: Wed. Apr. 13, 2005 Section Section Section Section 17.3, 17.4, 17.5, 17.6, pg. pg. pg. pg. 1117: 1125: 1132: 1142: 3, 3, 3, 3, 9, 11, 19, 29, 33. 9, 13, 21, 25, 29. 12, 13, 31. 17,
CSU Northridge - MATH - 715473
MATH 255Applied Honors Calculus IIIWinter 2005Homework 10 Due: Wed. Apr. 13, 2005 Section Section Section Section 17.3, 17.4, 17.5, 17.6, pg. pg. pg. pg. 1117: 1125: 1132: 1142: 3, 3, 3, 3, 9, 11, 19, 29, 33. 9, 13, 21, 25, 29. 12, 13, 31. 17,
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 1 Due: Tue. Sept. 4, 2007 Section 2.2, pg. 74: 5, 7, 9, 13, 15, 29, 40. Section 2.3, pg. 84: 2 (b), (e), and (f), 5, 11, 23, 25, 29, 37, 43.
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 1 Due: Tue. Sept. 4, 2007 Section 2.2, pg. 74: 5, 7, 9, 13, 15, 29, 40. Section 2.3, pg. 84: 2 (b), (e), and (f), 5, 11, 23, 25, 29, 37, 43.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 7 Due: Tue. Oct. 23, 2007 For each of the functions below: I. nd its domain and range II. nd its x- and y-axis intercepts III. determine whether the graph is symmetric with respect to the y-axis or the origi
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 7 Due: Tue. Oct. 23, 2007 For each of the functions below: I. nd its domain and range II. nd its x- and y-axis intercepts III. determine whether the graph is symmetric with respect to the y-axis or the origi
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 4 Due: Tue. Sept. 25, 2007 Section 3.3, pg. 145: 19, 25, 31, 37, 49, 59, 63, 95. Section 3.4, pg. 154: 1 15 (odd), 23, 33, 35, 37, 39, 45, 47. Section 3.5, pg. 161: 1, 5, 13, 21, 41, 53.
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 4 Due: Tue. Sept. 25, 2007 Section 3.3, pg. 145: 19, 25, 31, 37, 49, 59, 63, 95. Section 3.4, pg. 154: 1 15 (odd), 23, 33, 35, 37, 39, 45, 47. Section 3.5, pg. 161: 1, 5, 13, 21, 41, 53.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 6 Due: Tue. Oct. 16, 2007 Section 3.9, pg. 193: 1, 3, 11, 17, 21, 31, 33, 35, 37. Section 4.1, pg. 211: 3, 5, 11, 17, 21, 25, 31, 35, 47, 53, 69. Section 4.2, pg. 219: 1, 5, 11, 19, 29, 33.
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 6 Due: Tue. Oct. 16, 2007 Section 3.9, pg. 193: 1, 3, 11, 17, 21, 31, 33, 35, 37. Section 4.1, pg. 211: 3, 5, 11, 17, 21, 25, 31, 35, 47, 53, 69. Section 4.2, pg. 219: 1, 5, 11, 19, 29, 33.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 3 Due: Tue. Sept. 18, 2007 Section 3.1, pg. 119: 1, 3, 5, 7, 11, 17, 27, 43. Section 3.2, pg. 131: 3, 5, 7, 17, 23, 39, 51. Section 3.3, pg. 145: 1 11 every odd.
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 3 Due: Tue. Sept. 18, 2007 Section 3.1, pg. 119: 1, 3, 5, 7, 11, 17, 27, 43. Section 3.2, pg. 131: 3, 5, 7, 17, 23, 39, 51. Section 3.3, pg. 145: 1 11 every odd.
CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 6 Due: Thurs. Mar. 13, 2008 Section 12.4, pg. 640: 1, 3, 7, 11, 15, 17, 19, 21. Section 12.5, pg. 646: 5, 7, 9, 11, 13, 19, 21, 25. Section 12.6, pg. 651: 1, 3, 5, 9, 13, 19, 21, 31.
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 6 Due: Thurs. Mar. 13, 2008 Section 12.4, pg. 640: 1, 3, 7, 11, 15, 17, 19, 21. Section 12.5, pg. 646: 5, 7, 9, 11, 13, 19, 21, 25. Section 12.6, pg. 651: 1, 3, 5, 9, 13, 19, 21, 31.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 9 Due: Thurs. Nov. 15, 2007 Section 5.1, pg. 299: 3, 17, 20, 21. Section 5.2, pg. 310: 3, 11, 17, 21, 29, 35, 53. Section 5.3, pg. 321: 5, 7, 19 25 (odds), 35. Additional Problems: 1. Prove:n n n(ai + bi
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 9 Due: Thurs. Nov. 15, 2007 Section 5.1, pg. 299: 3, 17, 20, 21. Section 5.2, pg. 310: 3, 11, 17, 21, 29, 35, 53. Section 5.3, pg. 321: 5, 7, 19 25 (odds), 35. Additional Problems: 1. Prove:n n n(ai + bi
CSU Northridge - MATH - 250
MATH 250Calculus IIISpring 2008Homework 5 Due: Thurs. Mar. 6, 2008 Section 12.1, pg. 622: 5, 21, 23, 25, 27, 33. Section 12.2, pg. 628: 1, 3, 5, 9, 27, 29, 33, 41. Section 12.3, pg. 634: 3, 15, 17, 19, 25, 27, 35.
CSU Northridge - MATH - 715473
MATH 250Calculus IIISpring 2008Homework 5 Due: Thurs. Mar. 6, 2008 Section 12.1, pg. 622: 5, 21, 23, 25, 27, 33. Section 12.2, pg. 628: 1, 3, 5, 9, 27, 29, 33, 41. Section 12.3, pg. 634: 3, 15, 17, 19, 25, 27, 35.
CSU Northridge - MATH - 150
MATH 150ACalculus IFall 2007Homework 2 Due: Tue. Sept. 11, 2007 Section 2.3, pg. 84: 47, 55. Section 2.4, pg. 95: 1, 11, 13, 15, 17 read section before attempting problems! Section 2.5, pg. 105: 1, 5, 7, 9, 13, 37, 41, 61, 62.
CSU Northridge - MATH - 715473
MATH 150ACalculus IFall 2007Homework 2 Due: Tue. Sept. 11, 2007 Section 2.3, pg. 84: 47, 55. Section 2.4, pg. 95: 1, 11, 13, 15, 17 read section before attempting problems! Section 2.5, pg. 105: 1, 5, 7, 9, 13, 37, 41, 61, 62.
CSU Northridge - MATH - 581
MATH 581Numerical Methods for Linear SystemsSpring 2008Homework 1 Due: Thurs. Feb. 7, 2008 Lecture Lecture Lecture Lecture 1, 2, 3, 4, pg. pg. pg. pg. 9: 1.1, 1.3 16: 2.1, 2.5, 2.6 24: 3.2, 3.3, 3.5 31: 4.1, 4.3Additional Problem 1. Let A be
CSU Northridge - MATH - 715473
MATH 581Numerical Methods for Linear SystemsSpring 2008Homework 1 Due: Thurs. Feb. 7, 2008 Lecture Lecture Lecture Lecture 1, 2, 3, 4, pg. pg. pg. pg. 9: 1.1, 1.3 16: 2.1, 2.5, 2.6 24: 3.2, 3.3, 3.5 31: 4.1, 4.3Additional Problem 1. Let A be
CSU Northridge - MATH - 53971
Math 550. Homework 8. Due 11/10/03Problem 1. Let U, V be open subsets of R2 . Prove that the coboundary map : H 0 (U V ) H 1 (U V ) is a homomorphism of vector spaces. Problem 2. Let F : U V be a smooth map from the open set U R2 into the open
CSU Northridge - MATH - 550
Math 550. Homework 8. Due 11/10/03Problem 1. Let U, V be open subsets of R2 . Prove that the coboundary map : H 0 (U V ) H 1 (U V ) is a homomorphism of vector spaces. Problem 2. Let F : U V be a smooth map from the open set U R2 into the open
CSU Northridge - MATH - 311
Math 311. Quiz 5 Due: Monday, October 20, 2008Name:Construction a Golden Triangle We have proved that an isosceles triangle with long side equal to 1 and short of 51 side equal to is a golden triangle. Problem 1 uses this information in order to
CSU Northridge - MATH - 53971
Math 311. Quiz 5 Due: Monday, October 20, 2008Name:Construction a Golden Triangle We have proved that an isosceles triangle with long side equal to 1 and short of 51 side equal to is a golden triangle. Problem 1 uses this information in order to
CSU Northridge - MATH - 53971
Math 550. Homework 9. Due 12/03/03Problem 1. Suppose that U = R2 \ {P1 , , Pn } is the complement of n points in the plane. Prove that the mapping that takes a closed 1-chain to W (, P1 ), , W (, Pn ) determines an isomorphism of H1 U with t
CSU Northridge - MATH - 550
Math 550. Homework 9. Due 12/03/03Problem 1. Suppose that U = R2 \ {P1 , , Pn } is the complement of n points in the plane. Prove that the mapping that takes a closed 1-chain to W (, P1 ), , W (, Pn ) determines an isomorphism of H1 U with t
CSU Northridge - MATH - 53971
Math 550. Homework 7. Due 10/29/03Problem 1. A vector X in Rn is called a probability vector if its coordinates are all nonnegative and add up to 1. An n n matrix is an stochastic matrix if its columns are probability vectors. Use the Brouwer xed
CSU Northridge - MATH - 550
Math 550. Homework 7. Due 10/29/03Problem 1. A vector X in Rn is called a probability vector if its coordinates are all nonnegative and add up to 1. An n n matrix is an stochastic matrix if its columns are probability vectors. Use the Brouwer xed
CSU Northridge - MATH - 53971
Math 623. Homework 5. Due 04/21/04Problem 1. Show that the hyperbolic distance d(z, w) between points z and w in the unit disk satises the following identity 1 zw Tanh d(z, w) = . 2 1 zw Problem 2. A circle in H2 centered at p with radius r is the
CSU Northridge - MATH - 623
Math 623. Homework 5. Due 04/21/04Problem 1. Show that the hyperbolic distance d(z, w) between points z and w in the unit disk satises the following identity 1 zw Tanh d(z, w) = . 2 1 zw Problem 2. A circle in H2 centered at p with radius r is the
CSU Northridge - MATH - 53971
Math 655. Homework 3. Due 2/26/03Problem 1 Let f be an analytic function on a connected open set U C. (1) Show that if f is real valued, then f is constant on U . (2) Show that if f has constant absolute value, then f is constant on U . Problem 2
CSU Northridge - MATH - 655
Math 655. Homework 3. Due 2/26/03Problem 1 Let f be an analytic function on a connected open set U C. (1) Show that if f is real valued, then f is constant on U . (2) Show that if f has constant absolute value, then f is constant on U . Problem 2
CSU Northridge - MATH - 53971
Math 655. Homework 1. Due 2/5/03Problem 1 Prove thatab &lt;1 1 abif |a| &lt; 1 and |b| &lt; 1. Prove also thatab =1 1 abif either |a| = 1 or |b| = 1. What exception must be made if |a| = |b| = 1? Problem 2 Show that the functions f (z) and f (z) a
CSU Northridge - MATH - 655
Math 655. Homework 1. Due 2/5/03Problem 1 Prove thatab &lt;1 1 abif |a| &lt; 1 and |b| &lt; 1. Prove also thatab =1 1 abif either |a| = 1 or |b| = 1. What exception must be made if |a| = |b| = 1? Problem 2 Show that the functions f (z) and f (z) a
CSU Northridge - MATH - 53971
Math 592D. Homework 4. Due: 4/28/051. Problem 5.3.2 2. Problem 5.4.2
CSU Northridge - MATH - 592
Math 592D. Homework 4. Due: 4/28/051. Problem 5.3.2 2. Problem 5.4.2
CSU Northridge - MATH - 53971
Math 592D. Homework 3. Due: 3/10/05Do at least 2, 3, 4 (not 4(e). Then 1 if possible. 5 and 6 are suggestions. 1. The approach to modeling age-structured populations in continuous time is similar to what we have done in discrete time. If u(a, t) is
CSU Northridge - MATH - 592
Math 592D. Homework 3. Due: 3/10/05Do at least 2, 3, 4 (not 4(e). Then 1 if possible. 5 and 6 are suggestions. 1. The approach to modeling age-structured populations in continuous time is similar to what we have done in discrete time. If u(a, t) is
CSU Northridge - MATH - 53971
Math 550. Homework 2 (Revised). Due 9/22/2003Problem 1 Let U be the union of two open sets U1 ,U2 , i.e., U = U1 U2 . Let f j be a smooth functions on U j , j = 1, 2, such that f1 (x) = f2 (x) for every x in U1 U2 . Prove that f (x) = is a smooth f
CSU Northridge - MATH - 550
Math 550. Homework 2 (Revised). Due 9/22/2003Problem 1 Let U be the union of two open sets U1 ,U2 , i.e., U = U1 U2 . Let f j be a smooth functions on U j , j = 1, 2, such that f1 (x) = f2 (x) for every x in U1 U2 . Prove that f (x) = is a smooth f
CSU Northridge - MATH - 53971
Math 550. Homework 1. Due 9/3/2003Problem 1 Let U be an open subset of the plane. Prove that U is connected if and only if every locally constant function on U is constant on U . Problem 2 Let = ydx xdy and let be the line segment from (0, 0) to
CSU Northridge - MATH - 550
Math 550. Homework 1. Due 9/3/2003Problem 1 Let U be an open subset of the plane. Prove that U is connected if and only if every locally constant function on U is constant on U . Problem 2 Let = ydx xdy and let be the line segment from (0, 0) to
CSU Northridge - MATH - 53971
Math 550. Homework 6. Due 10/22/03Denition 1. Two continuous mappings f , g : X Y are homotopic if there is a continuous mapping H : X [0, 1] Y such that H(x, 0) = f (x) and H(x, 1) = g(x) for all x in X. Problem 1. Let C and C be circles. (i) P
CSU Northridge - MATH - 550
Math 550. Homework 6. Due 10/22/03Denition 1. Two continuous mappings f , g : X Y are homotopic if there is a continuous mapping H : X [0, 1] Y such that H(x, 0) = f (x) and H(x, 1) = g(x) for all x in X. Problem 1. Let C and C be circles. (i) P
CSU Northridge - MATH - 53971
Math 550. Homework 5. Due 10/15/03Problem 1. Let : [a, b] R2 \ {0} be a continuous path. Prove that there are continuous functions r : [a, b] R+ (the positive real numbers) and : [a, b] R, so that (t) = (r(t) cos (t), r(t) sin (t), a t b.P
CSU Northridge - MATH - 550
Math 550. Homework 5. Due 10/15/03Problem 1. Let : [a, b] R2 \ {0} be a continuous path. Prove that there are continuous functions r : [a, b] R+ (the positive real numbers) and : [a, b] R, so that (t) = (r(t) cos (t), r(t) sin (t), a t b.P
CSU Northridge - MATH - 53971
Math 550. Homework 4. Due 10/01/2003Problem 1 Given a 1-form on an open set U, prove that the following are equivalent (i) d = 0; (ii)R R = 0 for all closed rectangles R contained in U; (iii) every point in U has a neighborhood such that = 0 f