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:
5 3/8 rounds to 5,
4 7/10 rounds to 5
Your estimated sum is 10
If you're asking for extrema, like the previous posting
well

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points
and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4
f(0) = 0 <---- only maximum, and thus absolute maximum
f(4) ≈ - 0.19 <---- only minimum, and thus absolute minimum
Answer:
the download cost for a song is $1 and $11 for a movie
Step-by-step explanation:
According to the questions, the following equations are as follows:
Let us assume the song be x
And, the movies be y
So,
20x + 13y = $163.........(i)
13x + 13y = $156........(ii)
Now solve substract second equation from the first equation
7x = $7
x = $1
And the y value is
20 + 13y = $163
13y = $163 - $20
13y = $143
y = $11
Hence, the download cost for a song is $1 and $11 for a movie