Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

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A: Given Problem:- using the differential length dl, find the length of the curve  r=1,θ=30°,0°≤ϕ≤60°

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Q: The derivative of the function f is defined by ƒ'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: The derivative of the function f is defined by f'x=x2+2sin2x-2 and f2=7

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Q: x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local…

A: limx→ 4x-4x2-x-12By L'Hopital rule,=limx→ 412x-1Plug in the value x=4=12(4)-1=17

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A: Given:

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Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

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A: answer is in next step. please give a like !!!

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A: This question can be solved using the concept of maxima and minima.

Q: Find all critical points for f(x)=x²-x² - 2x + 1.

A: Our Aim is to find all the critical points for f(x)=x3-12x2-2x+1 -(i)

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Q: 1 Find an antiderivative of 9 x¹ +4 x6 ار داشته in the variable x where x > 0.

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Q: 0px + xp (xxx)

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Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what is…

A: answer is in next step. please give a like!!

Q: Consider the following. Function y = 7e1 - x2 (a) Find an equation of the tangent line to the graph…

A: Solution