The base of a right triangle is decreasing at a constant rate of 13 cm/sec and in such a way that the triangle always remains a

Question

The base of a right triangle is decreasing at a constant rate of 13 cm/sec and in such a way that the triangle always
remains a right triangle. At the time when the base is 11 cm and the height is 25 cm, the area of the triangle is increasing
by 26 cm²/sec.
Use this information to answer the questions on the right.
dB
(A) Let B denote the base of the triangle. At the described time, what is the sign of dt
?
2
A. negative
B. zero
C. positive
D. not enough information
(B) Let B denote the base of the triangle. At the described time, what is the sign of
d²B
dt²
OA. negative
OB. zero
OC. positive
D. not enough information
(C) At the described time, the height is changing at a rate of units.
Your answer must be an exact number. Do not give a decimal approximation.
(D) What are the units of the answer to part (C)?
O A. cm²/sec
B. cm²
C. cm
D. cm/sec
E. sec
-?

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