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:
Answer:
Please mark it as the brainliest...
Answer:
151°
Step-by-step explanation:
126°+221°+95°+57°+70+x=720° ( sum of interior angles of hexagon)
x + 569° =720°
x = 720°- 569°
=151°
Solution :
We know that

At least one mean is different form the others (claim)
We need to find the critical values.
We know k = 3 , N = 35, α = 0.05
d.f.N = k - 1
= 3 - 1 = 2
d.f.D = N - k
= 35 - 3 = 32
SO the critical value is 3.295
The mean and the variance of each sample :
Goust Jet red Cloudtran


The grand mean or the overall mean is(GM) :


= 52.1714
The variance between the groups

![$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%5Cleft%5B14%2850.5-52.1714%29%5E2%2B14%2852.07143-52.1714%29%5E2%2B7%2855.71426-52.1714%29%5E2%5Cright%5D%7D%7B3-1%7D%24)

= 63.55714
The Variance within the groups



= 20.93304
The F-test statistics value is :


= 3.036212
Now since the 3.036 < 3.295, we do not reject the null hypothesis.
So there is no sufficient evidence to support the claim that there is a difference among the means.
The ANOVA table is :
Source Sum of squares d.f Mean square F
Between 127.1143 2 63.55714 3.036212
Within 669.8571 32 20.93304
Total 796.9714 34
In the circumference formula given d is the diameter which is 2 times r ( r is the radius)
R is given as 6 feet, diameter = 2 x 6 = 12 feet.
Circumference = 12 feet x 3.14 = 37.68 feet