This looks kinda difficult ngl I’ll see if I can do it:)
Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0.
Answer:
Total distance traveled is 67.653 miles
Step-by-step explanation:
Side a = 14 (miles traveled South)
Side b = 25 (miles traveled East)
side c = 
196 + 625 = 
821 =
c = 28.653 (rounded to the nearest 1000th)
Now add the three sides to get the total distance:
14 + 25 + 28.653 = 67.653
Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
