2. In a lab, the production cost, in dollars, per day of producing xbottles of given by: C(x)=4329 +9x-0.09x²+0.0008x³. i. ii. Determine the marginal cost when: x = 250 x = 500 Interpret your results. I

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A: Topic:- calculus

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A: Given :gx=x3-3x2

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A: We can answer the question as below.

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A: f(t)=(et-e-t)2

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A: Given:  a=9 and b=4 To find:

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A: This question can be solved using the area of triangle in three dimensional geometry.

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A: Topic = Algebra

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A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

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A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

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A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

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A: Question no. 4,Given,           log6216=3

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A: This is a basic trigonometric ratios problem

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A: I am attaching image so that you understand each and every step.

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A: We have to establish the identity csc u - cot u = sin u1 + cos u.

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A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

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A: ex × ey  = ex+y  e-x = 1/ex

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A: This question is based on substitution method.

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

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