For each curve, plug in the given point
and check if the equality holds. For example:
(I) (2, 3) does lie on
since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.
For part (a), compute the derivative
, and evaluate it for the given point
. This is the slope of the tangent line at the point. For example:
(I) The derivative is

so the slope of the tangent at (2, 3) is

and its equation is then

For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents,
. For example:
(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation

The price of the item is now $180
You would pay $240 per year, hope this helps
4x + 4y
8a + 24b
6x + 33y
63a + 54b
3ca + cb
2yx + 11yx
Answer:
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
5x = 10
x = 2
2(2) + 2y = -2
4 + 2y = -2
2y = -6
y = -3
(2, -3)