For positive A, B , the force between two atoms is a function of the distance, r , between them: f ( r ) = − A r 2 + B r 3 r > 0. (a) What are the zeros and asymptotes of f ? (b) Find the coordinates of the critical points and inflection points of f . (c) Graph f . (d) Illustrating your answers with a sketch, describe the effect on the graph of f of: (i) Increasing B , holding A fixed (ii) Increasing A , holding B fixed
For positive A, B , the force between two atoms is a function of the distance, r , between them: f ( r ) = − A r 2 + B r 3 r > 0. (a) What are the zeros and asymptotes of f ? (b) Find the coordinates of the critical points and inflection points of f . (c) Graph f . (d) Illustrating your answers with a sketch, describe the effect on the graph of f of: (i) Increasing B , holding A fixed (ii) Increasing A , holding B fixed
f(x) = /x and g(x) = - Vx + 6
A) Shift the graph of f left 6
units and then reflect across
the y-axis.
B) Shift the graph of f left 6
units and then reflect across
the x-axis.
C) Shift the graph of f right 6
units and then reflect across
the x-axis.
D) Shift the graph of f up 6
units and then reflect across
the y-axis.
O A
C
D
Please don't provide handwritten solution .....
Sketch the graph of f(x,y) = 5x + 3y - 15. State the domain and range of the function.
O A. {(x.y): xs
and x2
(Simplify your answers.)
O B. {(x.y): xs 15} (Simplify your answer.)
O C. {(x.y): x+
(Simplify your answer. Use a comma to separate answers as needed.)
O D. {(x.y): x2
(Simplify your answer.)
O E. R²
Find the range of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. {z: z2 ) (Simplify your answer.)
O B. {z: zs
(Simplify your answer.)
O C. {z: zs
and z2 ) (Simplify your answers.)
O D. (z: z#
(Simplify your answer. Use a comma to separate answers as needed.)
O E. R
Precalculus: Mathematics for Calculus - 6th Edition
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