How would 0.09 be represented as a percent? A. 0.9% B. 9% C. 90% D. 0.0009%
2 answers:
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Answer:
Step-by-step explanation:
We want to find the equation of the line tangent to the graph of:
So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:
Simplify:
We can factor out the denominator within the square root:
Simplify:
So, we can find the slope of the tangent line at <em>x</em> = 5/2. By substitution:
Evaluate:
We will also need the point at <em>x</em> = 5/2. Using our original equation, we acquire that:
So, a point is (5/2, π/6).
Finally, by using the point-slope form, we can write:
Distribute:
Isolate. Hence, our equation is:
