Calculus Archive: Questions from April 04, 2022
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HELP WITH 11,13,15, AND 17
11. /(x) = x + 11 13. /) = -31+ 21 - 4 15. g(x) = x2 + 4x2 17. s(t) = 7+ 5p - 31+ 8 18. y = 2x + 6x-1 19. y = 2 sin 8 sin 8- cos 21. y = x2 - cos x 23. y = 0 - 3 sinx TI er1 answer -
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La segunda derivada parcial de la función z = x? -7xy+9y2 con respecto axes: O a. az 8x дх O b. oʻz - 567° b.az ax OC 2 - 7x9 – Ty - c. ²z " ax? d d. a²z 0 0.32-42 = 42x az1 answer -
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44 & 46 please
43-48 Find the derivative of the function. Simplify where possible. 43. y = (tan- x) 44. y=tan(x) 45. y = arctan(cos ) 46. f(x) = x In(arctan x) X 47. y = tan-'(x - V1 + x2) 48. y = arctan 1 + x1 answer -
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Evaluate. (x-7? 0x dx OA. 1/3 - 7x² +49x + c x- 3 + C O B. 3x3 - 28x? +49x + C *** +49x+C OD. *** +7x? - 49x+C +- + OC. 13 ° + C 31 answer -
resolve the following P.V.I. by separation of the variables
puntos) Resuelva el siguiente P.V.I por separación de variables 1 dx, con y(0) = 2 1 + x2 X 4 + yz dy1 answer -
2 If p(x) = tan (sin? (x)e"), then p'(x) = O e" (2 sin (x) + sin(x)) cos? (w) Oe"(2 tan (x) +tan(x)) O (2 sin (x) + sin? (x)e") cos? (a) e" (2 sin (x) cos(x) + sin(x)) cos2 (sin? (x)e") O None of the1 answer -
3) Solve the following non-homogenous differential equation: a) y" + 4y' + 5y = 7x + 3 , y(0) = 2, y'(0) = 4 + b) 4y" - 4y' + y = 7e * c) y" + 3y - 28y = 3 cos x + 5 sin x i. y” - 2y - 15y = e-68 ii1 answer -
2) Solve the following homogenous differential equation: a) y'' - 2y' - 15y = 0 b) y" + 3y - 28y = 0 c) 4y" – 4y' + y = 0 d) y" + 4y' + 5y = 0 e) y" + 16y = 01 answer -
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#7,9
6-12 Determine whether the given function is a solution of the differential equation. 6. y = sin x - cos x; cos x; y' + y = 2 sin x 7. y = že' + e24; y' + 2y = 2e' 8. y = tan x; y' - y2 = 1 9. y = x;2 answers -
2, 10, 14, 29, and 30
Exercises: 2.7 (Derivatives of Trig Fu 16. y = Differentiating Functions Involving Trig Func- tions In Exercises 1-40, differentiate the function. 1. f(x) = 3 sin - 6 cos I 2. f(x) = 2 sec r - cotx 3.1 answer -
14) Using the following properties of a twice-differentiable function y = f(x). Sketch a possible graph of f. Label all important points on your graph. X (input) у First & Second point/interval (outp1 answer -
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(1 point) Find all possible functions with the given derivative. 1. If y' = sin(4t), then y = 1 2. then y If y' = cos(4) , 3. If y = sin(48) + cos(á). (4t) then y= o 41 answer -
please solve 27,29,30,35 CHAPTER 3 Differentiation Rules Calculate y'
17. y = arctan x 18. y = cot(csc x) 1 19. y = tan 20. y=e*** +1 21. y = 3:02 22. y = sec(1 + x?) 23. y = (1 - x-)- 25. sin(xy) = x - y 24. y = 1/7x + V 26. y = sinx 28. y = (cos x) (x + 1) (2x + 1) (31 answer -
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Determine fx when f(x, y) = x sin(2y – x) + cos(2y – x). - 2 - - 1. fc -2 sin(2y – x) – x cos(2y — 2) 2. f.x = x cos(2y - x) 3. fc = x sin(2y – x) 4. fx -x cos(2y – x) 5. fx -* sin(2y4 answers -
plz help
Simplify & box-in all final answers. Ex. y = csc(x2+x+1) u = x2 + x +1, du dx = 2x +1, y = cscu, dy du II csc u cotu, dy - dy du dx du dx (- csc u cot u) (2x + 1) dy dx -(2x + 1) csc(x2 + x + 1) cot(x1 answer -
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