Consider the following. 7 x + 7 y = 6 (a) find y' by implicit differentiation. y' = correct: your answer is correct. (b) solve the equation explicitly for y and differentiate to get y' in terms of x. y' = (c) check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =

Answer with Step-by-step explanation:

We are given that an equation

[tex7x+7y=6[/tex]

a.We have to find y' by implicit differentiation.

Implicit function:That function which is consist of x and y.The value of y does not depend  x directly.

Differentiate w.r.t x

b.We have to solve the equation explicitly for y and differentiate to get y' in terms of x.

Explicit function:It is that function in which y is directly depend  on x.

Differentiate w.r.t x

c.We have to find solutions of part a and part b are consistent by substituting the expression of y into the solution of part a.

When substitute  in y' of part a.

Then,

Hence, solution of part a  and part b are consistent.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol