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To find: The center, vertices, foci and asymptotes of the hyperbola and represent it by sketching a graph.
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Answer to Problem 17RE
Center:
Foci:
Explanation of Solution
Given information:
Equation of the hyperbola is given
Calculation:
The standard form of the equation of a hyperbola with center
Then:-
Length of the transverse axis is
Coordinates of the vertices are
Length of the conjugate axis is
Coordinate of the co − vertices are
Distance between the foci is
Coordinate of foci are
Equation of the asymptotes are
Equation of the hyperbola
Hyperbola transverse on the y − axis
Center of the hyperbola
Coordinate of the foci
Foci coordinate
Coordinates of the vertex
Vertices coordinates
Equation of the asymptotes
Asymptotes
Interpretation :
Through the standard form of the equation of a hyperbola with center
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f'(x) = X x + √3x f(x) = 3x-5 (3√√3x+11√√x+5√3 2√√x (3x-5)² Need Help? Read It SUBMIT ANSWERarrow_forwardPREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE A Find the derivative of the function and evaluate f'(x) at the given val f(x) = (√√√x + 3x) (x3/2 - x); x = 1 f'(x) = 9x 412 (12x (13) 2 - 4x-3√√√x f'(1) = 2 Need Help? Read It Watch It SUBMIT ANSWERarrow_forwardConsider the following functions. g(x) = x + √3x h(x) = 3x-5 x + √3x f(x) = = 3x-5 Find the derivative of each function. g'(x) h'(x) = = f'(x) = 3 = +1 2√3x 3 (3√3x + 10√√x +5√√√3 2√√x (3x-5)² Need Help? Read It SUBMIT ANSWERarrow_forward
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