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Q: Consider this hyperbola. 9(x+5)2 - 25(y-2)2 =225 a) find parametric equations to describe the…

A: (a) Rearrange the equation to find the equation of the parabola in the standard form. Then find the…

Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

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Q: Determine the vertical traces of elliptic and parabolic cylinders in standard form.

A: Firstly the trace of a surface which is actually a cross section or the curves of intersection of a…

Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: Determine the conic section created with the equation 2x^(2)+4xy+5y^(2)+3x-4y-20=0.

A: Equation :2x2+4xy+5y2+3x-4y-20=0

Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: Identify a and b for the hyperbola with equation

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Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p>0  then focus is h,k+p  and…