You're pretty close. It's all in the details.
A. Correct.
B. Correct.
C. Sign error in the boxed answer. -(-0.5) = 0.5
The graph shows c ≈ 1.855. If a is more than that and decreasing, area is increasing. The sign of dA/dt will be positive. (Compare to D)
D. Units are not shown. Numerical value is correct.
<u>Answer:</u>
The correct answer option is B. Construct a line perpendicular to XP through point A.
<u>Step-by-step explanation:</u>
We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.
From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.
So the next step must be to construct a line perpendicular to XP through point A to complete the construction.
Answer:
Therefore the rate change of height is
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 


Differentiating with respect to t.

Putting the value 



The rate change of height does not depend on the height.
Therefore the rate change of height is
m/s.
So we have the equations:
y - 4x = 2 --- equation 1
5y - 2x = 1 --- equation 2
(equation 2) * 2
10y - 4x = 2 --- equation 3
(equation 2) - (equation 3)
-9y = 0 so y= 0 and thus x = -1/2
Hope that helps!