Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, has the following format:

In which the point is
and the slope is m.
(3, 20)
This means that
. So


Slope:
The slope is the derivative of the function at the point:
The function is:

The derivative is:

At the point, we have that
. So

So the equation to the tangent line to the curve a the point is:

Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
Answer:
y - 5 = 3(x - 4)
Step-by-step explanation:
when given a point , the first is x and the last is y
(x,y)
(4,5)
Answer:
The right answer is Option B:

Step-by-step explanation:
In this case we have to perform a hypothesis test on the proportion of the people owning cats.
The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).
The right answer is Option B:
