Calculus Archive: Questions from May 29, 2022
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Q17. solve using laplace transform method
17. ty" +(1-2t) y' - 2y = 0, when y (0) = 1, (0) = 2. 18. y + 2ty' -y=t, when y (0) = 0, y (0) = 1. 10 Aty=0 when (0) = 3. ✓(0) = 0.1 answer -
2, 6, 14
1-44 Use the guidelines of this section to sketch the curve. 1. y = x³ - 12x² + 36x (2.) y = 2 + 3x² - x³ 3. y = x² - 4x 4. y = 8x² - x4 5. y = x(x-4)³ 6. y = x³ - 5x 8 7. y = x³ = ³x³ + 161 answer -
18, 28, 30
1-44 Use the guidelines of this section to sketch the curve. 1. y = x³ - 12x² + 36x (2.) y = 2 + 3x² - x² 3. y = x² - 4x 4. y = 8x² - x4 5. y = x(x - 4)³ y = x³ = 5x 8 7. y = x³ = ³x³ + 16x1 answer -
18, 20, 22
17-34 - Find f. 17. f"(x) = 20x³ - 12x² + 6x 18. f"(x) = 2 + x³ + x6 0 2 19. f"(x) = x2/3 21. f"(t) = cos t oz brus +22. f"(t) = e' + t Bar Jeslocis 20, f'(x) = 6x + sin x1 answer -
1 answer
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Determine if the following vector fields F are gradient fields. If there exists a function such that V=F, find F. (If an answer does not exist, enter DNE.) (a) F(x, y, z) (5x+3y²-y sin(x), 6xyz + cos1 answer -
Exercise questions, no explanation needed
Given f(x, y) = 2x³ + 3x²y³ - 4y¹, find fz(x, y) = fy(x, y) = fzz(x, y) = fay(x, y) = Given f(x, y) = ·3x³ + 4xy² - 4y¹, find faz(x, y) = fry (x, y) = Given f(x, y) = -5x2³ - 3xy¹ - 6y²2, f1 answer -
3. [0/1 Points] DETAILS PREVIOUS ANSWERS MARSVECTORCALC6 8.3.013. Let F(x, y, z) = (9ex sin(y))i + (9ex cos(y))j + 8z2k. Evaluate the integral F · ds, where c(t) = (7√t, t³, exp(√t)), 0 ≤ t â‰1 answer -
2 answers