Answer: C
Step-by-step explanation:
Since we are given velocity, which is the first derivative, we have to fidn the antiderivative of velocity to get position.
∫-2sint dt
s(t)=2cos(t)+C
Since we are given s(0)=0, we can plug in the values to find C, constant.
0=2cos(0)+C
0=2(1)+C
0=2+C
C=-2
Now that we know our constant, we can find out position.
s(t)=2cos(t)-2
Answer:
76.6
Step-by-step explanation:
so the nearest tenth is 76<u>.5</u>7143
Answer:
8 cm
Step-by-step explanation:
C = 2(pi)r
2(pi)r = C
2(3.14)r = 50.24
r = 8
Answer: 8 cm
We have been given a system of equations.
and
. We are asked to find the solution of the equation
by sketching the functions.
We can see that f(x) is a linear function in slope-intercept form. The slope of f(x) is 1 and y-intercept at point
.
We can also see that g(x) is a quadratic function. The function g(x) is an upward opening parabola, whose vertex is at point
.
Upon graphing both equations, we will get our required graph as shown in the attachment.
The solution of
will be the x-coordinates of points, where both functions will intersect.
We can see that both functions are intersecting at
, therefore,
are the solutions of
and option B is the correct choice.