How do you do this question?
2 answers:
Each little tickmark is a slope value telling you which direction to go. If you place yourself at the origin (0,0) then the tick mark here tells us to go roughly in the northeast direction. As you step forward to the northeast just a tiny bit, the slope value changes to aim more toward the east (rather than north). For more information, check out Euler's method. Specifically it's Euler's method dealing with slope fields.
The diagram below shows what could be each step of this process. Each red dot is a stepping stone, so to speak, going from (0,0) to (50,0). This is an approximation. Without the actual function F(t, S), it's hard to say where exactly S(50) is located. But S(50) = 0 is a fairly good guess I think. MathPhys has a great diagram showing what could be the solution for S(t) given the initial condition S(0) = 0. Note how they drew a curve through all of the red points I've marked.
Answer:
S(50) = 0
Step-by-step explanation:
The initial condition is S(0) = 0, so start at the origin. The slope there is approximately 1. So as t increases by a small amount, S increases by the same amount. Continuing this logic, we end up tracing the vector field until we get to t=50, where S is approximately 0.
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Answer:
All potential roots are 3,3 and .
Step-by-step explanation:
Potential roots of the polynomial is all possible roots of f(x).
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
p=All the positive/negative factors of 45
q=All the positive/negative factors of 3
All possible roots
Now we check each rational root and see which are possible roots for given function.
Similarly, we will check for all value of p/q and we get
Thus, All potential roots are 3,3 and .