Ans: D
differentiate sinx=cosx and differentiate x=1
:)
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer:
I would reject the null hypothesis because it falls outside of the 95% confidence interval.
Answer:
The slope of the new road is 0.
Step-by-step explanation:
- the slope of d street line is tan(90)
[if the angle made by a line with x axis is
then, the slope of that line will be tan(
) ]
- here, the angle made by the d street line with x axis is 90 degrees.
- if a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis .
- so, the slope of new road will be tan(0) = 0
Answer:
1:1.25 2: 1.5 3: clusterd around
Step-by-step explanation:
i am smarte