9x^2 - y^2 = 1
a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y
b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)
c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
Answer:
9/16
Step-by-step explanation:
First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:
.5625 x 10000
10000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
5625
/10000
The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:
5625 ÷ 625
/10000 ÷ 625
And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:
.5625 =
9
/16
Answer:
Rs20
Step-by-step explanation:
C.P=Rs180
S.P=Rs200
profit =S.P-C.P
=Rs200-Rs180
=Rs20
