Answer:
Slope = -4/3
y intercept = 4
Step-by-step explanation:
Change the equation given into slope intercept form
3y + 4x = 12
3y = -4x + 12
y = -4/3 + 12/3
y = -4/3 + 4
m = -4/3 b = 4
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:
Take 5 × 3 to equal 15
add the 1 +4.5+2.9+1
to equal 12.4
2.6
Answer:
Step-by-step explanation:
5.2g +8=0
5.2g=-8
g=-1.54