Answer:
a) 70
b) 10π ft²/ft
c) 0.24 ft/sec
Step-by-step explanation:
1) y = x³ + 2x

or
= 
at
and x = 2
= 
or
= 60 + 10 = 70
2) A = πr² ft²

or
= 2(πr)
at r = 5 ft
= 2(π × 5) ft²/ft
or
= 10π ft²/ft
3) From Pythagoras theorem
Base² + Perpendicular² = Hypotenuse²
Thus,
B² + P² = H² .............(1)
here, H = length of the ladder
P is the height of the wall
B is the distance from the wall at bottom
or
B² + P² = 25² ...........(1)
at B = 20 ft
20² + P² = 25²
or
P² = 625 - 400
or
P = √225
or
P = 15 ft
differentiating (1) with respect to time, we get

at B = 20 ft,
and P = 15 ft
⇒ 2(20)(0.18) +
= 0
or
= - 7.2
or
= - 0.24 ft/sec (Here negative sign depicts the ladder slides down)
Hello,
y=2
Answer C
==================
Answer:
Practice!
Step-by-step explanation:
Seriously, ask friends or family for complete random questions. Ask your teacher for tips.
Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years