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Alexxx [7]
3 years ago
12

"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow an

d phenomena that decay. Note the main similarities and differences in the form of the function in each case.
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.

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alexandr402 [8]
(3x^2 - 2x + 12) + (x^2 + 8x -2)
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Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If​po
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The two curves y=x and y=x^{1/15} intersect at x=0 and x=1, with x^{1/15}\ge x over 0\le x\le1.

  • Washer method

\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}

  • Shell method

We have y=x^{1/15}\implies x=y^{15}. The curves x=y and x=y^{15} intersect at y=0 and y=1, with y\ge y^{15} over 0\le y\le1.

\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}

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3 years ago
Solve x to y i am very confused
ohaa [14]

Answer:

Step-by-step explanation:

8 0
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15 less than twice a number g is 19. Find g.
Helga [31]

Answer:

<h2>g = 17</h2>

Step-by-step explanation:

15 less than twice a number g is 19

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3 years ago
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Use photo math app it will help you

The second one 1.7 = 17/10
-0.048 = -6/125
98% = 98/100= 49/50
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