Find the area of the loop of the curve y^2=x^4(x+4) complete solution

Q: Plot the function f(y) =2y^2 − 2y and f(y)=12y^3-12y^2 and find the total areas of the shaded…

A: Graph of functions

Q: Determine the concavity of the graphs of y^2=x and y=x^3

A: We have to determine the convexity of the graphs of y2 = x and y = x3 in between the points of their…

Q: Find focus of the parabola y=1/2-x-1/2x^2

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Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

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Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: .2 Solve y²dx + (x Vy? – x² – xy) dy = 0

A: To solve the following differential equation

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: =a(x-1)^2+2 passes through the points (10,-160) A=

A: NOTE: Refresh your page if you can't see any equations. . the point (10,-160) is on the graph so…

Q: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

A: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

Q: sketch the graph with solution   f(x,y)= sqrt(16 - x^2 - 16y^2)

A: The main object is to sketch the graph f(x,y).

Q: Find the loop of the curve y²=x^4(4+x)

A: The given curve is: y^2 = x^4 . (4 + x) Clearly the graph of the curve passes through (0, 0).

Q: cubic equation

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Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)