Find the area of the surface obtained by rotating the curve y = 3x3 from x = 0 to x : 4 about the x-axis. %3D The area is square units.

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A: Solved assuming 'a' is positive. 

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A: We have to find the antiderivative of the given function

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A: Solve

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Q: 2.

A: ∫x2ex dxBy integration by parts

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Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7 2x...

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y dy-dy=2y-1dydydx=122y-1=14y-2option(B...

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, –4,1), and D(6,3, –5). (a) Find the volume of th...

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Q: xy² dy dx x2

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Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: ctivity 2. Answer the following problems. 1. A child is flying a kite at a height of 40 ft, that is,...

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x <.

A: Given,             y=sinx , y=sin4x from 0≤x≤π2To find : Find the area bounded by the curves.

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Q: 16. Sketch the parametric curve x = Vt, y= sin t, 0<t< 2n. (b) (a) 1.0 (c) 101 1.0 0.5 0.5 0.5 05 10...

A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x² – ...

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

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Q: 2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху ...

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Q: 11. A gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom,...

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: Find the area bounded by y = sin²(x) and y = sin³ (x) from< xS n.

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Q: 4. lim sin x X- 2

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Q: Question 8 x2dx Evaluate | x2Vx2-4

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Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

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Q: x2+1 - dx x4-x²+1

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Q: The Range of y = V9- Vã /x is

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Q: (8. e Sin y Ausi Sin 2

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Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324