Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Explain with all explanation
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]
ungent Function
*12. In Exercise #2 you were asked to calculate the slope of the terminal ray of the angle when you knew
that the ray began at the origin and passed through a point on the circle. For example, if the terminal
ray passed through the point (0.1736, 0.9848) then the slope is calculated as follows.
0.9848-0
m =
0.1736-0
0.9848
0.1736
5.673
a. Suppose you know that an angle measures 0 radians using a circle with a radius of 5 units. How
can you find the point (x, y) on the circle through which the terminal ray passes?
b. Using your answer to part (a), complete the following statement by writing tan(0) in terms of
cos(0) and sin(0). (In other words, when we know the value of cos(0) and sin(0), how can we
determine the value of tan(0)?)
tan(0) =
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