I used desmos online.
(1,-2)
Answer
the length is 20 cm and breadth is 16cm
Step-by-step explanation:
let, 2(a+b)= 72( as its the formulae of circumference)
here a is the length and b is the breadth
now total area is ab
according to the question
a(b-6)= ab-120
or -6a= - 120
so length is 20 cm
now by putting the value in the 1st eq we get
2(a+b)=72
or(a+b)=36
or 20+b=36
so breadth is 16 cm.
length is 20cm and breadth is 16 cm
(u can verify that easily)
thank u
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
