Verify Green's Theorem by evaluating both integrals dA v? dx + x2 dy ax for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 | y? dx + x2 dy = ON dA = ay

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

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Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

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A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

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Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

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A: Here we have to graph the given equation 9x2+25y2=225

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Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

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A: Find Maclaurin series.

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Question- Let R be the region bounded by x= y - 25, and x 1. Then draw the region and. evaluate the…

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Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

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A: Directional derivative

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A: Answer is in below step.

Q: Provide a step-by-step solution to the following differential equation (linear quation) 2(2xy + 4y…

A: To solve the following linear differential equation.22xy+4y-3 dx-x+22 dy=0

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: 75 then compute the limit. 137 2| %3D Investigate the one sided limits (left and right) of f () =…

A: Given query is to find the limit.

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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A: If f'(x) >0 then f(x) is increase and if f'(x) <0 then f(x) is decrease.

Q: Which one of the following p-series is divergent?

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Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

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Q: 27x2 + 9y2 - 81 = 0 %3D

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