[8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's} {then integrate with u's instead} {that means to

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A:

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A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

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Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

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A: Explanation of the answer is as follows

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Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

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Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

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A: ∫Cy3dx-x3dy ,C is the circle x2+y2=4

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

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Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…

A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3

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A: limit existance conditionif LHS limit = RHS limit continuity existance conditionif LHS limit = RHS…

Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

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Q: To establish a "rainy day" cash reserve account, a certain company deposits $11,000 of its profit at…

A: We have   P = 11000    r = 1.55% = 1.55/100 = 0.0155 Compund quartely: n = 4   t = 4 in first    t =…