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- 2_532328.3339979 11.3 EXERCISES 1. State whether the expression makes sense. Explain. a. (a · b)c c. a +b. c b. a· (b· c) d. a·b - Ja b| e. ab + (a · b)a b f. a. 2. la. If a · a = 0 and a · b = 0, what can you say about b? b. If a · a + 0 and a · b = 0, what can you say about b? In Exercises 3-8, find a · b. \ 3. a = (1, 3), b = (2, -1) 4. а%3 1,3, — 2), Ь3 (-1, 1, —1} 5. a = 2i + 3j, b=i- 2j 6. a = 2i - 3j + k, b = -i + 2j – 2k 7. а %3 (0, 1, - 3), Ь3 (10, п, -п) 8. a = 2i + 3k, b = -i + 0.2j - V3k In Exercises 9-16, a = (1, -3, 2), b = (-2, 4, 1), and c = (2, -4, 1). Find the indicated quantity. 9. a· (b + c) 10. b - (а — с) 11. (2a + 3b) (3c) 12. (a - b) · (a + b) 13. (а - b)e 14. (a b)c - (b· c)a a• b 16. b. b, - 15. Ja - bf + la + bP In Exercises 17-22, find the angle between the vectors. 17. а — (2, 1, Ь 3 (3,4) 18. a = i+ 3j, b = -i+ 2j 19. а %3D {1,1, 1), Ь %3D (2, 3, — 6)Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, 0 ≤ z ≤ 4. B (Use symbolic notation and fractions where needed.) ]] (xz + y2²) dv = Bz/attempt.php?attempt=544542&cmid=1232176&page=D5 New Tab 9 (31) WhatsApp courses Analytic Geometry and Calculus II - MA166 - 07 - Spring 2021 ** / 4 The integral 2+ x? dx (x3 + 9x) is: Select one: O 금고2-8m피 + In22 + 91 + c O r +In|æ| –In|2? + 9| + c 금고2 + 응Im리-In22 + 9| + c a? + In|æ| – In|a² + 9| +c none of these pus page lass MA166(07)-Dr. Utkun Aydin - 08 Jump to... + utesenffire Nutes 7 (C OneDrive Desktop hp
- I need an answer in a short timethe Follausing baunabory Vase x Steadly heat! condluction Satisfyiny Laflace 'eautation inside a sectangle" CoL KL2014Need help with ODE IVP, thanksNegate the following statements. Determine whether the original statement is true or the negation is true. (a) ∀x ≥ 0, ∃y ∈ ℝ, y^2 = x. (b) ∃y ∈ ℝ, ∀x ≥ 0, y^2 = x. (c) ∀x ∈ ℝ, ∃n ∈ ℕ, x n ≥ 0. (d) ∀X ∈ P(ℕ), X ⊆ ℝ. (e) ∃n ∈ ℕ, ∀X ∈ P(ℕ), |X| < n. (f) ∀n ∈ ℤ, ∃X ⊆ ℕ, |X| = n. (g) ∃m ∈ ℤ, ∀n ∈ ℤ, m = n+5.Recommended textbooks for youCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSONCalculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage LearningCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSONCalculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning