Answer:
#1=24 #2=36 #3=77 #4=21
Step-by-step explanation:
Hope this helps
y(x)=sin^2 (x/4)+12sin(x/4)
y(x) = sin^2(x/7) +16sin(x/7)
From the Chain Rule,
y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).
At x=4pi, the slope of the tangent line is
y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).
= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)
= 2(0)(1/4)(-1) + 12(1/4)(-1)
= -3
The angle (in radians) that the tangent line makes to the
positive x-axis is
pi - arctan(3)= 1.249 rad =71.565 degree
Well, you would have to move the decimal on both of them (however many times the exponent number is) for both to get them to normal numbers then do the math with normal numbers and switch back to a scientific notation with the final answer
2 2/4 is the mixed number then reduced to 2 1/2
