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Degger [83]
3 years ago
15

Derivative of

lass="latex-formula">e^{2x}
Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

f(x)=x^3e^{2x}\\\\f'(x)=(x^3e^{2x})'\qquad\text{use}\ (f\cdot g)'(x)=f'(x)g(x)+f(x)g'(x)\\\\=(x^3)'(e^{2x})+(x^3)(e^{2x})'\\\\\text{use}\ (x^n)'=nx^{n-1}\ \text{and}\ (e^x)'=e^x\ \text{and}\ f'[g(x)]=f'(g(x))\cdot g'(x)\\\\=3x^2e^{2x}+x^3e^{2x}\cdot2\\\\=\boxed{3x^2e^{2x}+2x^3e^{2x}}

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How did the tempicher change if at first it increased by 5% and then increased by 20 percent
tensa zangetsu [6.8K]

Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

Now increase it by 5%.

1.05x

Now increase it by 20%.

1.2 * 1.05x = 1.26x

1.26x = 126% of x = 100% of x + 26% of x

100% of x is the same as x, so it is the same as the original x.

The increase is 26% of the original number.

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

3 0
3 years ago
PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
Contact [7]

Exact Surface Area = 378pi

Approximate Surface Area = 1186.92

The approximate surface area uses pi = 3.14

The units are cm^2 or "square cm".

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

Work Shown:

SA = surface area of cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*7^2 + 2*pi*7*20

SA = 2*pi*49 + 2*pi*140

SA = 2*49*pi + 2*140*pi

SA = 98pi + 280pi

SA = 378pi ..... exact surface area

SA = 378*3.14

SA = 1186.92 ..... approximate surface area

----------

Side note: The diameter 14 cuts in half to get the radius r = 7

3 0
3 years ago
Read 2 more answers
What is the answer meyn?
Alexandra [31]

Answer:

the best value is two 50 ml bottles

Step-by-step explanation:

Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =

45 +  \frac{45}{2}  = 67.5

We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !

then you can dived the volume of bottle with price ...

  • the price of one ml is 0.675 in first State

\frac{67.5}{100 } = 0.675

  • in the second state the price of one ml is

\frac{55}{80}  = 0.6875

then :

0.675 < 0.6875

so the best value is two 50 ml bottles

4 0
3 years ago
jada is using a computer’s random number generator to produce 6 random whole numbers between 1 and 100 so she can use a random s
nikdorinn [45]

Step-by-step explanation:

The random numbers are selected randomly. Just because they happen to be 6 numbers in a row does not mean that they were not. If she is confident in the random number generator, which can be assumed, then the random numbers were still randomly selected and can be used. To regenerate would be a mistake because Jada is then picking and choosing which random numbers are chosen, defeating the purpose of a random number generator

7 0
3 years ago
Question 2 plz and thx plz help I've Been staring at this problem for a long time
Grace [21]
You peace in the 6 the same time
5 0
3 years ago
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