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Ipatiy [6.2K]
2 years ago
11

The sum of 7+14+21 + 150 terms​

Mathematics
1 answer:
Genrish500 [490]2 years ago
5 0
192 I just calculated it
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Help please i don’t know how to do it
Norma-Jean [14]

Answer:

Step-by-step explanation:

\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\

From the initial condition,

\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C

So we have that \ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1

4 0
2 years ago
Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

   ( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0
3 years ago
Read 2 more answers
How many tenths would you need to make the number 17
tatyana61 [14]
You would need one because you arent yet to 20 so it takes one tenth for example;

1.7 or 7/10

Thats my guess tho man if it is more complicated than that, SORRRYYYY
6 0
2 years ago
Evaluate the expression 3x - 22 for x = -5
kolezko [41]

Answer:

-37

Step-by-step explanation:

4 0
2 years ago
An object is launched vertically in the air at 36.75 meters per second from a 6-meter-tall platform. Using the projectile motion
nasty-shy [4]
I HAVE THE SAME QUESTION
5 0
3 years ago
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