Step-by-step explanation:
Let vertical height of ladder from ground be y and
horizontal distance of the base of the ladder from the wall be x respectively.
Length of the ladder = l (constant) = 10 ft
<u>Using Pythagoras theorem</u>:

Differentiate both sides w.r.t time


<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)


<u>( Ignore - ive sign)</u>
Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.
Step-by-step explanation:
The largest possible ellipse will have a semi-minor axis of 2 feet and a semi-major axis of 4 feet. If we center the board on the origin of the cartesian coordinate plane, we can derive the location of the foci and thus, the length of string he will need:
x^2 / 16 + y^2 / 4 = 1
Vertices:
(-4 , 0) , (4 , 0)
(0 , -2) , (0 , 2)
Answer:
Counting Numbers - Also called natural numbers, the set of positive numbers used to count objects. 1, 2, 3, 4, 5, ... Integers - The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero) -- fractions and decimals are not integers.