Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
x2
y =
x2 + 243
intercept
(x, y) =
relative minimum
(x, y) |
relative maximum
(x, y) =
points of inflection (x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the equation of the asymptote.
Use a graphing utility to verify your results.
y
y
X
- 30 -20
to
10
20
30
- 30 - 20
-10
20
30
-2t
-2t
y
y
2.0
-30
- 20
-10
10
20
30
1.5
-0.5
1.0
0.5
-1.5
-2.0
- 30
-20
-10
10
20
30
ning Managemer x
Quiz: Exam 3-Canvas
+
canvas.tamu.edu/courses/297503/quizzes/507330/take
Given the graph of f(x) below, determine the absolute maximum and minimum
y-values of f(x) on the interval (2,10), if they exist. If there is no absolute extrema.
write DNE.
18
16
14
(f(x)
12
10
20 -18 -16 -14 12 -10 -8
0
10 12 14 16
(a) On the interval (2,10), the absolute minimum is y =
(b) On the interval (2, 10), the absolute maximum is y =
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- How are the absolute maximum and minimum similar to and different from the local extrema?arrow_forwardDetermine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.arrow_forwardMarks Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of the given functions. Determine the open intervals on which the function is increasing or decreasing. (7) 1. a) y = x - x b) y = 2-xarrow_forward
- Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5/(x^2+y^2−1) Question content area bottom Part 1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at enter your response here. (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are enter your response here. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima. Part 2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local minimum occurs at enter your response here. (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are enter your response here. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local minima. Part 3 Select the…arrow_forwardAnalyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = 4 - 3x - x intercept (x, y) = ) (smaller x-value) (x, y) = (larger x-value) relative minimum (x, y) = relative maximum (x, y) = point of infle ction (x, y) = Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify your results. y 10 8. 6 2 2 -3 -1 1 2 3 -3 -2 -1 2 3 y y 10 10 8 8 6 2 -3 -2 -1 3 -3 -2 1 3 2. 2.arrow_forwardAnalyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x2 + 64 intercept (x, y) = relative minimum (x, y) = relative maximum (x, y) = points of inflection (х, у) %3D (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)arrow_forward
- Нomеwork: 1. Find the max., min., inflection points and the intervals on which the functions increase, decrease, concave up and concave down. (a) y= 4x+6x² -6x-4 (b) y= x' -8 (d) y=(x- 2)3 2/5 (c) y=3x+(x-2)²5 2. Find the intervals on which f are: (i) Increasing and decreasing. (ii) Concave up and concave down. and the x-coordinate of all critical and inflection points. (a) y=x -5x+6 (b) y=(x+1)³ (c) y=x* -8x² +16 (d) y= 3x - 4x (e) y = () y = x+2 x² +2 1/3 (h) y = x" (x+2) *9 -x 4/3 (8) y=Vx+2 (i) y =x (G) y= cos x; [0,27] (k) y= sin² 2x ; [0,7) (1) y=2x+cot x; [0,7] (m) y= sin xcos x; [0,7]arrow_forwardPlease solve for all steps, thank you!!arrow_forwardall parts -- homework helparrow_forward
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