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Calculus Archive: Questions from July 10, 2022

• complete the table
  1. [-/1 Points] DETAILS Complete the table.. y = f(g(x)) y = (3x - 3)² u = Need Help? Read It LARCALCET7 3.4.005. u = g(x) y = f(u) |y = u²
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• complete the table
  [-/1 Points] DETAILS Complete the table. y = f(g(x)) 3 √x² + 14 y = u Need Help? Read It 11 LARCALCET7 3.4.008. u = g(x) y = f(u) 3 √u
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• complete the table
  3. [-/1 Points] DETAILS Complete the table. y = f(g(x)) 7x 5 y = sin Need Help? u= Read It LARCALCET7 3.4.010. u = g(x) y = f(u) y = sin u
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  8. Find the indefinite integral. sin 20 sin³ 20/cos 20 de
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• 5-13 odd
  5-14 Solve the differential equation. 5. y' + y = 1 7. y' = x - y 9. xy' + y = √√√x 11. xy' - 2y = x², x>0 13. 1² dy + 3ty = √/1 + t², t>0 dt dr 14. t In t- dt 6. y' - y = e 8. 4x³y + x¹y
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  Calculate fxxyz if f(x, y, z) = sin(x − 3yz)
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  Sketch the regions enclosed by the given curves. y = 4 cos 5x, y = 4 sin 10x, x=0, x= π/10 y 3 2 1 y 3 2 0.05 0.10 0.15 0.20 Find its area. 0.1 0.25 0.2 0.30 0.3 X y y 3 MA 2 X 0.4 4 3 2 1 0.05 0.10
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• Center of mass of a flat sheet Calculate the center of mass of the sheet with uniform density p that is bounded between the curves y= x^2 & y= x^3.
  Centro de Masa de una Lámina Plana Resuelva: Calcule el centro de masa de la lámina de densidad uniforme formada por las gráficas y = x² yy=x³. y = x² y = x³ Soto, M (2015) Gráficas y = x² y
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  63. y = e: y = ³; 0≤x≤ 4 64. yey=-e²²:1≤x≤ 2 21. y = x² +1; y = 0:0≤x≤ 2 22. y = -x³ + 3; y = 0; -2 ≤ x ≤ 1 •[x√x + 4dx 35. - fxVx-9dx 36. 19. [10x¹/² dx 21. 1. f/²/ dz
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  B. Solve the following IVP. 1. (D² - 3D)y = −18x; _y(0) = 0, y'(0) = 5 2. (D² + 1)y= sin x when x = 0, y = 0, y' = 1
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• d,f,i,l,o
  Exercise 5.7.11 Describe the concavity of the functions below. (a) y=x²-x (g) y = 3x² − (1/x²) (b) y=2+3x-x³ (h) y sinx | cosx (c) y = x³ − 9x² +24x (i) y = 4x+√1-x (d) y=x²-2x²+3 (e) y
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• c,f,j,l,p
  Exercise 5.7.20 Find all relative maximum and minimum points by the Second Derivative Test. (a) y=x²-x (c) y = x³-9x² +24x (e) y = 3x² - 4x³ (b) y=2+3x-r³ (d) y=x²-2x²+3 (f) y = (x²-1)/x (8)
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• A,d,e,i
  Exercise 5.7.34 Follow the Curve Sketching Guideline provided in this section to sketch the graphs of the following functions. (a) y= xe* (b) y = (e+e)/2 (c) y ecos.x (d) y e-sin.x (e) y = et/x (f) y
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  21. y = x² +1; y = 0:0≤x≤ 2 22. y = -x³ + 3; y = 0; -2 ≤ x ≤ 1
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  3-32 Determine whether the series converges or diverges. * Η +1 5. Σ " - 10. IM. k sin²k +11+k³ (2k – 1)(k’ – 1) Fi (k + 1)(k? + 4) 12. Σ
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• PLEASE HELP ASAP WILL GIVE THUMBS UP
  T/2 cos(0) ² fff f(x, y, z) dv = [*¹/² √ 7/4 ² 18p² sin(é) cos(4) dp de dé, find ƒ(z, y, z). 0 0 E Problem. 7: If f(x, y, z) = ?
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  (b) y cos()dx + (y sin() - r cos()) dy = 0
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  50. f(x)= 2² sin 1 30 if x 40 if x = 0 49-50 Determine whether f'(0) exists.
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  Find the derivative of the function. tan-¹1(x - √1+x²) y' = y = 3 tan
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  Suppose that f(x, y) = 5x + 3y y on the domain D = {(x, y) |1 ≤ x ≤ 2, 2² ≤ y ≤ 4}. a Then the double integral of f(x, y) over Dis
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  E = {(x, y, z) | 0 < x≤ √√z, 0 ≤ y ≤ 2 log xz, 0 < z ≤ 1} JJJ. 4xe sin (2³-32) dV3 E
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  limx-o 2 cos(2x) + 3 cos(5x)- 5 cos(19x) cos(4x)-cos(3x)
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