Answer:

Step-by-step explanation:

<u>differentiating numerator wrt x :-</u>
(sinx)' = cos x
<u>differentiating denominator wrt x :- </u>
(1 + cos x)' = (cosx)' = - sinx
- Let's say the denominator was "v" and the numerator was "u"

here,
- since u is the numerator u= sinx and u = cos x
- v(denominator) = 1 + cos x; v' = - sinx


since cos²x + sin²x = 1

diving numerator and denominator by 1 + cos x

Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Answer:
$255
Step-by-step explanation:
As, the area of the pool bottom = length x breath
= 20 x 15 = 300 square foot
So for painting
Per square foot = $0.85
So for 300 square foot = $0.85 x 300
= $255
Answer:
(2, 0)
Step-by-step explanation:
The x intercept is when y is equal to 0.
Therefore,
8x-1/3*0=16
8x=16
x=2
The answer is (2,0)