Obtain the equation of f(t) ? y(t) taking into account the following differential equations: y'' - 5y' + 6y = U(t-1); y(0) = 0; y'(0) = 1

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Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

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A: Use the specified substitution to find the integral.  ∫x-5x+6dx , u=x-5

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Q: XZ Find the divergence of F(x, y, z) = (ln(x+y) + point (2,0,7). ,sinhyV1+y~, ze — cos >

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Q: " (۱- " ) " | = 1 ton (2) (sec² (2)-1) sec² (2) dx له ( * - ) | = ۔ 8 8 u s 5 sects) - Sec (x) 8 + C…

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Q: If f(x) = 7x² - x + 5 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h ||

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Q: f (3 — e3x)3dx

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Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

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Q: 1) Given that csc A each of the following: a) sec B b) cos (A + B) c) sin 2A and cot B = where - <A…

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Q: Use a definite integral to find the area under the curve between the given x-values. 1 from x = 1 to…

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Q: If f(x) = x³ - 8/x, find the following. (Give exact answers. Do not round.) (a) f(--/-/-) (b) f(2)…

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Q: Given S −5x³y dx + 4xz dy + (x + y)² dz, where C is the helix parameterized by r(t) = (-t, sin (t),…

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Q: (c) Using results in part (b), show that the minimum distance is |(ba). (d₁ × d₂)| ||d₁ x d₂|| M =…

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Q: Find the derivative of f'(o)- f(z)-9e³e+e-²¹

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Q: Use the Ratio Test or the Root Test to determine if the following series converges absolutely or…

A: We need to use the ratio test to test the convergence.