Option 1. The equation that represents the direct variation that exists between a and b is b = –a.
<h3>How to find the direct variation here</h3>The direct variation is of this form y ∝ x
This gives the equation
y = kx
The constant is k
From our question we have
b ∝ a so b = ka
b =
a =
Remember that b = ka
This would cancel out to
1 = -k
or k = -1
Hence the equation would be written as
b = -a
Read more on direct variation here:
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Answer:
sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...
Step-by-step explanation:
given that f(x) = sin x
we have to find the Taylor series for that
and so on.
i.e. 2nd, 4th, 6th terms would be 0
and also 1st, 5th, 9th terms would be positive for f value and 3rd, 9th,... would be negative
Using the above we can write Taylor series as
This is valid for all real values of x.
x ∈