Answer:
a) dy/dx = 4/(2y+1)^2.
(b) y = 4/9 x - 14/9
(c) d2y/dx2 = -64/243
Step-by-step explanation:
You have the following equation
(1)
(a) You first derivative implicitly the equation (1) respect to x:
next, you solve the last result for dy/dx:
(2)
(b) The equation for the tangent line is given by:
(3)
with yo = -2 and xo = -1
To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:
m =
Hence, by replacing in the equation (3) you obtain:
hence, the equation for the tangent line is y = 4/9 x - 14/9
(c) To find d2y/dx2 you derivative the result obtain in the equation (2):
(4)
the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):
hence, d2y/dx2 evaluated in (-1,-2) is -64/243
Step-by-step explanation:
3 pounds cost $6.75
to help you, turn it into a fraction, 2 punds ove 2.50 equals 3 pounds over X
Answer:
you answer is B
Step-by-step explanation:
I am almost 100% sure it is B but correct me if im wrong
We have to find how many seconds are in one hour.
There are 60 seconds in one minute, with 60 minutes in every hour.
60×60=3600
Now, see how many 25 seconds are in 3600 seconds.
3600÷25= 144
Now, we can multiply 144 by 14 or .25 since we are trying to find per hour.
144×.25= 36
36h
H being the hours you're trying to find. It runs 36 miles per hour.
