Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15, 20 and describe the surface. Your answer should include graphs of all the level curves (contour lines) on one set of axis label the heights of each contour line You may use technology to graph the level curves (contour lines)

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A: Hey, since you have posted multiple questions we will answer first three questions as per our…

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A: The given surfaces are: d  4y2+z2-x-16y-4z+20=0e x2-y2+z2-2x+2y+4z+2=0f  fx,y=1x-y2 We have to…

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Q: 2 x 2 y 0=7²

A: All the question are different so I solve only one question

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A: By using graphing plotter, (x,y,z)=(x,y,f(x,y)).

Q: 1 find all points lif any) of hxizantal and vertical paints of to the curve tangency X={^_f +2…

A: Given that: x=t2-t+2,   y=t3-3t To calculate dx/dt, ddtx=ddtt2-t+2=ddtt2-ddtt+ddt2=2t-1+0dxdt=2t-1…

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A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

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A: An epicycloid is a plane curve created by tracing a chosen point on the edge of a circle of radius r…

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A: (1)    Given that the equation of the circle is   x2 + y2 - x - y - 6 = 0                Given point…

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Q: What quadric surface is the following an equation for and how do you know? -9x^2-3x+y^2+z^2= 1/4

A: The given quadratic equation is .We know that the quadratic surface of the form  form a cone.

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A: Given,

Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: 1) Find The coordindtes of the ciritical point Of the 2. Corve Y= メー R.) Find the courdinates Of the…

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Q: 2) Given f(x,y) Dand some domain, vertica) traces, horizontal traces then gruph the surface. 10…

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A: topic - conic section

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A: Solution

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