Divide numerator and denominator by the highest power of x in the denominator to find the limit. 4x² 5+49x² lim X-8

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Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

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Q: 6. Verify that the function f(x, y) = ln (x² +2²) is a solution of the Laplace equation Zxx+Zzz = 0

A: Topic:- application of derivatives

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A: Given.

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A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

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A: We have to find out hole

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Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

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Q: Suppose that f and g are continuous functions, and that ₁² f(x) dx = −4, f₁ f(x)dx = 6…

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Q: a) fo f(x) dx d) f3f(x) dx b) √²³ƒf(x)dx c) ff(x) dx e) fºƒ(x)dx − [f(−ƒ(x))dx + f² ƒ(x)dx]

A: Note:- according to the company policy we can attempt maximum three subparts of a question so please…

Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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Q: Write the expression in terms of sine and cosine, and simplify so that no qu appear in the final…

A: Topic - trigonometric ratios

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A: Given that, A boat purchased for $25,000 depreciates exponentially. After one year, the car is…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: 5. Suppose that growth g as a function of time t can be modeled by 21 g (t) Determine the time t at…

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A: Please refer to the image below

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A: we have to find tangent plane

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A: The objective is to find the displacement between t=0 to t=4.