Write the equations in cylindrical coordinates. (a) 3x² - 4x + 3y² + z² = 1 (b) z = 8x² - 8y²

Q: 4. Consider the complex equation - -32i. (a) Solve for all values of z.

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Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Write the equations in cylindrical coordinates. (a) 8x²+ 8x² + 8y² - z² = 5 (b) 4x - y + z = 6

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Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

Q: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

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Q: Write the equations in cylindrical coordinates. (a) 8x2 - 6x + 8y2 + z? = 9 (b) z = 8x2 – 8y2

A: We have to find

Q: x² = 1 = 1 II 4. 4, +

A:

Q: 3x2 − 2y2 + 18x + 8y + 13 = 0 directrix:

A: Given equation is 3x2-2y2+18x+8y+13=0. Given equation can  be written as:…

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 < 0 < 2n.) (a) (5, –5, 2) (b)…

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Q: Given the equation: 2x? + 3y? – 6x +6y = 12 Identify the conic and explain how you know.

A: Given: 2x2+3y2-6x+6y=12To identify the given conic: