Hello
f(x) = 2sin(x)
f(<span>π/6) = 1
f'(x) 2cos(x)
f'(</span>π/6) = 2×co(π/6) = 2 × root(3)×0.5 =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x)) <span>in the form y=mx+b
m = root(3) and b = </span>1 - π/6(root(x))
Answer:
12.0 cm
Step-by-step explanation:
Use Pythagorean theorem 
a = 9
b = 8
hypotenuse = c = 
c = 12.04 cm
Answer:
The unit rate is<u> 1.25 seconds per jump</u>.
Step-by-step explanation:
Given:
Will can jump rope at a rate of 8 jumps for every 10 seconds.
Now, to find the unit rate:
So, by dividing we get the unit rate.
At the rate of 8 jumps Will takes 10 seconds.
Thus, for the rate of 1 jump he will take = 
Therefore, the unit rate is 1.25 seconds per jump.
Answer:2
Step-by-step explanation: but it was real