First the number of ways of selecting 3 students out of 8 is 8*7*6/(3*2*1)=56.
There are 6 ways of arranging the officers, so the total number of ways is 6*56=336
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Solve the initial value problem:
dy——— = 2xy², y = 2, when x = – 1. dxSeparate the variables in the equation above:

Integrate both sides:


Take the reciprocal of both sides, and then you have

In order to find the value of
C₁ , just plug in the equation above those known values for
x and
y, then solve it for
C₁:
y = 2, when
x = – 1. So,


Substitute that for
C₁ into (i), and you have

So
y(– 2) is

I hope this helps. =)
Tags: <em>ordinary differential equation ode integration separable variables initial value problem differential integral calculus</em>
Answer: 45 degrees
Step-by-step explanation:
Answer: 70.1
Step-by-step explanation: