given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2.   (a) Find the instantaneous rate of change of f(x) at x = 6.     (b) Find the slope of the tangent to the graph of y = f(x) at x = 6.     (c) Find the point on the graph of y = f(x) at x = 6.   (x, y) = (       )

Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

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A: find the local maximum of the function from the given graph.

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A: Please see the below solution.

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A: Cost, revenue, and profit are in dollars and x is the number of units.Suppose that the total revenue…

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A: We have negative real value of x.

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A: See this solution in below.

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Q: 2.) The daily total cost for producing x portable DVD players is given by C(x)=0.0001x³ -0.08x²…

A: NOTE: Refresh your page if you can't see any equations. . the total cost function is the average…

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A: Given, f(x)=3-x  and  g(x) = x2-1 To find fgf(x)g(x) = 3-xx2-1

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A: ∫11+cosx+sinxdx

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A: This question can be solved using product rule of differentiation.

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A: For the function f(x)  given in the table, find the average rate of change over each specified…

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: We have to find the surface area.

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A: Please see the below picture for detailed solution.

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A:

Q: Find the area of the shaded region. 75 15 15) -30 x = y² -10 y -20 x=5y-y -10 -5 -10 X

A: To find the area of the shaded region.

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A: Total mass of a rod of length l of having linear density ρ(x) is ∫0lρ(x)dx.Average density…

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A:

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A: The population of deer in a forest can be modeled by: P(x) = (630x +2960) / (3x+8) x is the number…

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A: The objective of the question is eliminating the constant.

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A:

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A: New Orleans has a latitude of 30∘N  and Memphis has a latitude of 35∘N  Find the distance between…

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A: NOTE: Refresh your page if you can't see any equations. . conditions for the differentiable…

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Q: 3. xy' = y + 2/ху ху У+

A: #3

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A: According to our guideline we are supposed to answer only the first 3 sub-parts of the question. If…

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A:

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A: I have appended the formula used in the solution part

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Q: he dollar cost of producing ?x bagels is ?(?)=300+0.25?−0.6(?1000)3.C(x)=300+0.25x−0.6(x1000)3.…

A: Topic = Algebra

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A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: We have to choose correct graph of f(x/3) by see the graph of f(x).

Q: 6. 7. 8. y = x² + 4x; dy x- -= x² + y == dx In y = C₁e* + c₂e-x; y³ = x³ (3ex + c); yy" - (y')² = y²…

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Q: d) tx' = -x + t².

A: