The angle is in the second quadrant so only the sine is positive .
Length of the hypotenuse = sqrt (-1^2 + 3^2) = sqrt10
sine = 1/sqrt10 = 0.3162 to 4 dec places
tangent = 1 / -3 = -0.3333 to 4 d p's
cosine = -3/sqrt10 = -0.9487 to 4 d, p's.
Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is
So, we have:
Next: f'(x) was translated up by 4 units
The rule of down translation is
So, we have:
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is:
So, we have:
Remove bracket
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 )
= lim ( h to 0 )
= lim ( h to 0 )
= lim( h to 0 )
= lim( h to 0 )
= lim ( h to 0 ) ← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x
THE ANSWER IS D whoops lol sorry i was in an argument lol