Given (1 + y³)y' = x². (i) Determine a region of the xy-plane for which the given differentia equation would have a unique solution whose graph passes through a point (x,,Yo) in the region.

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A: Solution

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Q: Sketch the region enclosed by the given curves. y = 2 cos(6x),    y = 2 − 2 cos(6x),    0 ≤ x ≤ π/6

A: Find the intersection points:

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

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Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

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Q: 1_2 Can you please help me with this example in a step by step guide. Thank you very much!!

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A: Given  y'=4y2-y4 The critical points will be  4y2-y4=0y24-y2=0y2=0 or   4-y2=0y=0  or          y2=4…

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A: NOTE: Refresh your page if you can't see any equations. . given functions are

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Q: A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated…

A: We will use total derivative to find change  If f is a function of x and y  ∆f=∆x×∂f∂x+∆y×∂f∂y

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Q: 6. Find the area and centroidal distances of the curve that lies between the equations y-4-x^2 and…

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Q: 4 Determine the surface area of a funnel that is generated by revolving the graph of 1 y = f(x) =…

A: Given  y=fx=x3+112xand interval 1,2

Q: 1 Find the points have minimum distance From the origih to the Surface xyz =1.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.