Calculus Archive: Questions from March 24, 2022
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a. y = - 2. Find dy/dx for the following equations. 4x² (3x2 - 4x + 2 2 b. y = 3x+ sin(2x – 3) 2 c. y = 4xcln(3x + 2) d. yr e-4x cos(4x + 2) b = = = e .1 answer -
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5. Use logarithmic differentiation to find out if 22 +1 (a) y = (b) y = (In x)" (C) y= (In x) c062 (d) y = (sin x) Inz (e) z)=y"1 answer -
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PLEASE HELP SLOVE JUST 4(a) and 3(b) thank you!
4. Solve the initial-value problem. a) y" – 4y'+3y = 0, y(0) = 7,y'0)=11 b) y" +4y = x² +4, y(0)=6, y'(0)=8 3. Determine the general solution. a) y" - y'-2y = 5e2* b) y" +16 y = 4 cos x1 answer -
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5-11
3.3 Exerc 1-22 Differentiate. 1. f(x) = 3 sin x - 2 cos x 3. y = x2 + cotx 5. h(0) = 02 sin e 7. y = sec @ tane) e y = 9. f(0) = (0 - cos ) sin e 1 11. H(t) = cost 1 13. f(0) = sin e 1 + cos e х 151 answer -
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13-19-21
13. f(0) sin e 1 + cos e 2. f(x) = tan x - 4 sin x X 15. y 4. y = 2 sec x - CSC X 2 tan x 1-22 Differentiate. 1. f(x) = 3 sin x – 2 cos x 3. y = x + cotx 5. h0) = 8 sin 7. y = sec ô tano 6. g(x) =1 answer -
please answer 16 and 20. thank you! please answer 16 and 20. thank you!
= 14. y = x, y = -x2, x = 2 15. y = Vĩ, y = -x, x = 4 16. 4x + y2 = 0, y2 - 4x - 8 = 0 17. x = 4 - y?, y-axis 18. y = x(x - 1)(x – 3), x-axis 19. x = 4 - y, x = y2 - 4y + 4 20. y = x² + 4, x + y =1 answer -
15–48. Derivatives Find the derivative of the following functions. 25 and 43 please explain step by step with clear handwriting thank you so much
21. y = In (x+ + 1) = 22. y = In Vx4 + x2 = x + 1 23. y = In 24. y = x In x - x X- 1 = 25. y = (x² + 1)In x 27. y = x²(1 – In x?) 29. y = ln (In x) = 26. y = ln (x2 – 11 28. y = 3x3 In x - x3 301 answer -
please I need 15-16-23-29-31-45-47
7-52 Find the derivative of the function. 7./(x) = (2x - 5x + 4) 8. f(x) = (x + 3x2 - x)" 9. f(x) - V5x + 1 10. f(x) 11. 9(1) - 12. F) (21 + 1) 21 + 1 13. (0) - cos(0) 14, 90) = cos 0 15. 9(x) - 16, y1 answer -
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10 24 3 c) y = 3 3 1) Find the derivative of each function: a) y = (x² – 5 cos x)' b) y = x²V/5x² – 3 tan x 3+ 7 sin x (9x” – 2x) d) y = ln 5x* +6 secx + 1 e) y = 3x In(x+ +1) f) y = x'e-321 answer