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:
Hi!
<h3>Put in the values. </h3>
[z+8(5-2)]^2/4
<h3>Now use PEMDAS to solve. </h3>
- Parentheses - Subtraction
[z+8*3]^2/4
- Parentheses - Multiplication
[z+24]^2/4
z+576/4
<u>z+144</u>
<h2>When you evaluate [a+8 (b-2)]^2÷4, you get z + 144</h2>
Hope this helps! :)
-Peredhel
Answer:
<em>Colin spends 1/8 of an hour practicing each song</em>
Step-by-step explanation:
Colin's piano lesson is 3/4 of an hour, long.
In that period, he practices 6 different songs, spending an equal amount of time on each one.
This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:
Colin spends 1/8 of an hour practicing each song
(8+15+8+3+12)/2+1=24th number will be median
So median is gonna be 21
