Answer:
a) -36
b) y = -36x +34
Step-by-step explanation:
a) The slope is found using the derivative of the function.
f'(x) = dy/dx = 0 -9(2x) = -18x
Then at x=2, the slope is ...
f'(2) = -18·2 = -36
___
b) The point-slope form of the equation can be written as ...
y = -36(x -2) -38
Simplifying to slope-intercept form, we get ...
y = -36x +34
10x +4 </ 25 (the </ is a less than or equal to sign)
<span>–4(x + 3) ≤ –2 – 2x
>>.....-4x -12 </span>≤ -2 -2x
>> -12 +2 ≤ +2x
>> - 10 ≤ 2x
>> -5 ≤ x............>> x >= -5
This answer is not represented in the pictures you attached
The line starts in x = -5 and goes up to infinity
we know that
acceleration due to gravity is 9.8m/s^2
so, we get

and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides


we are given
v(0)=35m/s
we can use it and find C



now, we can plug it back

we know that
integral of velocity is height
we can integrate it again



now, we have
s(0)=6
we can use it and find C


now, we can plug back C

and we get
.............Answer