A) 37 ft = 444 in
B) 36 ft = 432 in
C) 12 yd = 432 in
D) 12 ft = 144 in
B, C, and D are less than 435 inches
Answer:
d) lim f(x) = -0.5
x---> 0
Step-by-step explanation:
Given:
lim [√(1 - x) - 1]/x
x -->0
When we directly substitute the limit x =0, we get
= 0/0 which is indeterminant form.
Now we have to use the L'hospital rule.
This is nothing but we need to differentiate the numerator and the denominator and apply the limit
d/dx (√1 - x) - 1= 1/2(√1 - x)^-1/2 (-1)
= -1/2(1-x)^1/4
Now we can apply the limit
lim -1/2(1 - x)^1/4 = -1/2 (1-0)^1/4
= -1 / 2(1)^1/4
= -1/2
= -0.5
Hope you understand the concept.
Thank you.
x-->0
Step-by-step explanation:
Build a rectangle 12 cm high and 5 cm wide (Paint it). Then a) Find the perimeter of the rectangle. B) Find the area of the rectangle. Aiuda porfis.
Length of the rectangle is 12 cm
Breadth of the rectangle is 5 cm
Perimeter is the sum of all sides. For rectangle it is given by :
P = 2(l+b)
⇒ P=2(12+5)
P = 34 cm
Area of a rectangle is equal to the product of its length and breadth.
So,
A = lb
A = 12 cm × 5 cm
⇒A = 60 cm²
Hence, perimeter is 34 cm and area of rectangle is 60 cm².
Answer:
16 seats in each table
Step-by-step explanation:
children( 240 ) ÷ number of tables ( 15 )
240 ÷ 15 = 16
Answer:
DV/dt = 0,2355 m³/min
Step-by-step explanation:
Conical tank volume V = 1/3 *π*r²*h
r radius at the top 2 meters
when depth of water is 3 meters the radius of the level of water is:
let α angle of vertex of cone then
tan∠α = 2/8 tan∠α = 1/4 tan∠α = 0,25
At the same time when water is at 3 meters depth radius is
tan∠α = r/3 0,25*3= r r = 0,75 m
Now
DV/dt = (1/3)*π*r²*Dh/dt
Dh/dt = 0,4 meters/min
By substitution
DV/dt = 0,2355 m³/min