Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). 9x^2 - y^2 = 1

Step-by-step explanation:

The question is incomplete. Find the complete question in the attached file.

a) Given the expression 9x^2 - y^2 = 1

Differentiating implicitly will give;

We can then make dy/dx the subject of the formula as shown;

b) In order to solve the question explicitly, we will first have to make x the subject of the formula before differentiating.

Using chain rule to solve the equation;

let;

du/dx = 18x

dy/du =

dy/dx = dy/du * du/dx

dy/dx =

c) In order to confrim that solutions to part (a) and (b) are consistent, we will substitute into the answer in (a) as shown;

From (a)

This shows that they are consistent

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

answer: 800

step-by-step explanation: