The curve given by:
x=; y=+
has two tangent lines at the point (x, y)=(0,0).
list both of them in order of increasing slope. your answers should be in the form of y=) without ′

Equations of tangent lines are

y= 2 x

y = 0

Step-by-step explanation:

x = sin t -- (1)

y = sin(t + sin(t)) -- (2)

Differentiating both equations w.r.to t to find slopes.

Dividing (2) by (1) to find slope

at tangent point x=y=0

From (1)

sin (t) = 0

⇒ t = 0, π

At t = 0

At t= π

Equation of tangent

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

i got 10.28 but that rounds up to 10.3