Answer:
graph W
Step-by-step explanation:
Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)
Answer:
D) 15/12 and 5/4
Step-by-step explanation:
Because when you cross multiply the ratios
15*4 and 12*5
making both ratios a proportion
they both = 60
The height is 32 inches.
A=1/2bh
128=1/2(8)(h)
128=4h
h=32
Answer:
27 67 16 01 27 35 21 37 74 10
Step-by-step explanation:
Starting from the left, you pick two numbers together and skip two numbers if it is greater than 78.
Meaning:
27816 78416 01822 73521 37741 016312 68000 53645 56644 97892 63408 77919 44575
You pick [27] and leave 81 since it is greater than 78, the population number.
Then you pick [67] and leave 84 as it is also greater than 78.
Then you pick [16] and [01] but leave 82, as it is greater than 78.
Then pick [27], [35], [21], [37], [74] and [10] since they are all less than 78.
At this juncture, you have identified 10 numbers: 27 67 16 01 27 35 21 37 74 10
