Consider the curve given by the equation (2y+1)^3−24x= −3 (a) Show that dy/dx= 4/(2y+1)^2
(b) Write an equation for the line tangent to the curve at the point (−1,−2)
(c) Evaluate d^2y/dx^2 at the point (−1,−2)
(d) The point (1/6,0) is on the curve. Find the value of (y^−1)′ (0)

answer: .75 km

step-by-step explanation:

f(x) = y

f(-3) = -5

step-by-step explanation:

their is no graph showing

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional