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.

A:

Q: x²+ 4 1 1 25 4 || +

A:

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: Solve the complex equation (2+j)(3-j2)=a+jb

A:

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

A:

Q: 2- j3)= (a+ jb)

A:

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

A:

Q: During one test on the car, a point on the tire has a minimum height of 30 cm, a maximum height of…

A: The sinusoidal function based on the cosine ratio is given by: h=acosb(t-c)+d here,  a - amplitudeb…

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…

A:

Q: 2+j = j(x+ jy) 1- j

A:

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

A: We have to find

Q: Identify the quadric with the given equation and give its equation in standard form. x2 + y2 + z2…

A: The given quadric equation is, One has to determine:(i) identify the equation(ii) write in standard…

Q: z1 = 2 + 4i Z2 = 5e2i %3D Z3 = 4 cis 40° %3D

A:

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)…

A:

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: