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prohojiy [21]
3 years ago
6

Given the function f(x) = 2(3)^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0

Average rate of change can be calculated by determining the rate of change at x = a, and at x = b

f’(x) =2 (3^x) ln(3)

f’(0) = 2 ln(3)

f’(1) = 6 ln(3)

f’(2) = 18 ln(3)

f’(3) = 54 ln(3)

Average:

at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)

at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)

section B is 9 times larger.

Based from the f’(x), f’(x) varies as the power of x. so the greater of value of x, the greater the rate of change.

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The weight of Lyle’s dog increased from 29.7 pounds to 48.9 pounds in an 8-month period. What was the dog’s average weight incre
krok68 [10]
First subtract the weight the dog weighs now to the weight he was:

48.9
- 29.7
------------
19.2

Then take the number you got which is the weight the dog gain in total, and divide it by the months the dog gained weight to get the average weight gained each month:


19.2/8 = 2.4

The average weight gain each month was 2.4 pounds.

Hope this helped you!
6 0
3 years ago
Find the length of the arc<br> A.8 pie ft<br> B.32 pie ft<br> C.64 pie ft<br> D. 361 pie/ 12 ft
ExtremeBDS [4]
<h3>Answer: Choice A. 8pi  feet</h3>

======================================================

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

6 0
3 years ago
Read 2 more answers
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
Ne4ueva [31]

Answer:

( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

(a)

dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

put t = 0

11 = c

Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

3 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
pishuonlain [190]

Answer:

3-i

Step-by-step explanation:

1-5i + 2 +4i

We add the real parts

1+2 =3

We add the imaginary parts

-5i + 4i = -1i

The complex number is

3-i

6 0
3 years ago
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Oliga [24]

Answer: the answer is A the slop is 1


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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