4. The formula A = P(1 + i)" gives the amount, A, of an investment of P dollars after n years at 1% per year, compounded annually. a) Determine the first derivative of A. b) At what rate is the amount of investment changing after 10 years?

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A:

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Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

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A: Use u-subsituation method

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A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

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A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

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A:

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Q: What is the area between the curvey and the x-axis on the interval from [0, 2]? O 128T OO CAT 128 7…

A: The given curves are: y=x6   and   x-axis  on the interval  0, 2

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Q: 8. A = (1, 1, -2), B = (-2,3,1), what's the angle between A and B?

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Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

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Q: (b) Find a power model and a quadratic model for the data. (Round all numerical values to four…

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

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Q: 0 3 x√x² + 16 dx 2

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Q: əz Find when u = 0, v = 2, if z = sin (xy) + x sin (y), x = 3u² + v², and y = 2uv. du

A: Use chain rules