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:
It is A, because a direct proportion follows the rule y=kx, and in A, k = 12 and it works for all of the x and y values
Answer:
I think it is 7x+5y=40. Tell me if I'm right because don't think I am.
Step-by-step explanation:
The area of the carpet is the amount of space it occupies
- The area of the carpet tile is 256 square inches
- The area covered by 120 tiles is 30720 squares inches
<h3>How to determine the carpet area</h3>
The dimension of the carpet tile is 16 inches by 16 inches
So, the area is:
Evaluate the product
Hence, the area of the carpet tile is 256 square inches
For 120 carpet tiles, the area is:
Hence, the area covered by 120 tiles is 30720 squares inches
Read more about areas at:
brainly.com/question/24487155
Answer:
B
Step-by-step explanation:
- 2 | 2 2 - 2 4
↓ - 4 4 - 4
--------------------------
2 - 2 2 0 ← remainder
Since the remainder = 0 then (x + 2) is a factor
quotient = 2x² - 2x + 2
