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lisabon 2012 [21]
3 years ago
14

DUE IN 3 MINUTES PLEASE HELP

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

B. 12^3 - 12^2 - 11

Step-by-step explanation:

........

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if the stone makes 150 revolution per minute, the tension force of the string on the stone is

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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
Given right triangle ABCABC with altitude \overline{BD}
mixer [17]

Answer:

                                                                               

Step-by-step explanation:

3 0
3 years ago
ANSWER QUICKLY
denis23 [38]
The answer is 1/3 because I just took the test
4 0
3 years ago
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
3 years ago
Read 2 more answers
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