Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
Answer:
(a)
(b)P'(5)=-($4.54) Thousand
(c)P'(11)=-($2.10) Thousand
(d)The fifth Month
Step-by-step explanation:
Given the monthly profit model:
(a)We want to derive a model that gives the Marginal Profit, P' of the book.
We differentiate
using quotient rule.
Simplifying
We have derived a model for the marginal profit.
(b) After 5 months, at t=5
Marginal Profit=P'(5)
=-($4.54) Thousand of dollars
(c)Marginal Profit 11 Months after book release
=-($2.10) Thousand of dollars
(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.
Answer:
here what to do
Step-by-step explanation:
Since the volume of a cone is pi the radius squared times the height divided by 3. If you know the diameter,you simple divide by 2
Answer:
(b) Both vertical and horizontal reflection
Step-by-step explanation:
The figure will be a horizontal reflection of itself about any vertical line through two of the smaller 6-pointed stars.
The figure will be a vertical reflection of itself about any horizontal line through two of the smaller 6-pointed stars.
the pattern has both vertical and horizontal reflection
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<em>Additional comment</em>
A pattern will have horizontal reflection if there exists a vertical line about which the pattern can be reflected to itself. That is, there exists one (or more) vertical lines of symmetry.
Similarly, the pattern will have vertical reflection if there is a horizontal line about which the pattern can be reflected to itself. Such a line is a horizontal line of symmetry.
