5. Consider the graph of y = 7-3x2. Calculate the area enclosed by the curve y= 7- 3x and the x-axis between x = 0 and x = 3. You may find it helpful to sketch the graph.

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A: Given:     dydx = 6xy        , y(0) = π

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A: Consider  33x+8=92x+8

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A: Giv:    Limit equations is given

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A: Given:     f(x)= −6cos(x/4), from x=8 to x=8.34. 

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Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

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A: Answer to given problem is shown below - 

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A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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A: Given demand function: q=42-p4

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A: We will do implicit differentiation with respect to x

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Q: Find the relative extrema of f|S in Exercises 8 to 11. 8. f: R² → R, (x, y) → x² + y?, S = {(x, 2) |...

A: Given that: f:ℝ2→ℝ, x,y↦x2+y2, S=x,2 | x∈ℝ. We have  to find the relative extrema of f|S.  

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Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

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A: The number of ways that a student can wart his 6 shirts, 4 pants and 2 shoes is equal to the number ...

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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A: The difference between a relative extremum and an absolute extremum is -  

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A: To solve the initial value problem. 

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Q: 2. For f(x) = 28/3 – 4r/3, find a). the domain, b). f', critical points, | c). the local maxima and ...

A: Take f'(x) =0 for critical prints.  According to guidelines we solve only first three parts  

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A: r = -4+4sinθ  dθ/dt= 5 unit/sec  Find dr/dt when θ = π/2 

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