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Find the center of the sphere given by x² + y² + z² + 4x + 8y + 2z -4 = 0. 1. center = (-2,-4, -1) 2. center = (-4,-8, -1) 3. center = (2, 4, 1) 4. center = (2, -4,1) 5. center = (-4,-8, -2) 6. center = (-2, 4,-2)

Find the center of the sphere given by x² + y² + z² + 4x + 8y + 2z -4 = 0. 1. center = (-2,-4, -1) 2. center = (-4,-8, -1) 3. center = (2, 4, 1) 4. center = (2, -4,1) 5. center = (-4,-8, -2) 6. center = (-2, 4,-2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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(part 1 of 4) Find the center of the sphere given by x² + y² + x² + 4x + 8y + 2z − 4 = 0. 1. center = 2. center = 3. center = 4. center - 5. center 6. center = 8 (part 2 of 4) A rectangular piece of cardboard is 3 times as long as it is wide. If the length of the shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure X X X - T (-2,-4, -1) (-4, −8, −1) (2, 4, 1) (2, -4,1) (-4,-8, -2) (-2, 4, -2) I X X X X Determine the volume, V, of the box as a function of x and y. 2. V(x, y) = 1. V(x, y) = 8xy² + 3x²y 2x³ cu. ins 3xy² + 8x²y + 2x³ cu. ins 3. V(x, y) = 8xy² + 3x²y cu. ins 4x³ 4. V(x, y) = 8xy² - 3x²y + 2x³ cu. ins 5. V(x, y) = 3xy² − 8x²y + 4x³ cu. ins 6. V(x, y) = 3xy² – 8x²y. 4x³ cu. ins
Transcribed Image Text:(part 1 of 4) Find the center of the sphere given by x² + y² + x² + 4x + 8y + 2z − 4 = 0. 1. center = 2. center = 3. center = 4. center - 5. center 6. center = 8 (part 2 of 4) A rectangular piece of cardboard is 3 times as long as it is wide. If the length of the shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure X X X - T (-2,-4, -1) (-4, −8, −1) (2, 4, 1) (2, -4,1) (-4,-8, -2) (-2, 4, -2) I X X X X Determine the volume, V, of the box as a function of x and y. 2. V(x, y) = 1. V(x, y) = 8xy² + 3x²y 2x³ cu. ins 3xy² + 8x²y + 2x³ cu. ins 3. V(x, y) = 8xy² + 3x²y cu. ins 4x³ 4. V(x, y) = 8xy² - 3x²y + 2x³ cu. ins 5. V(x, y) = 3xy² − 8x²y + 4x³ cu. ins 6. V(x, y) = 3xy² – 8x²y. 4x³ cu. ins
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