Answer:
a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get




b.


Differentiate w.r.t x then we get


When we substituting the value of y obtained from part b into a solution of part a then we get

Hence, solutions are consistent.
5 the answer I took the test
We have the equation:

By arranging this equation in terms of x and y, we have:

By using the method of completing the square, we have:

The center of this circle is:

So the equation that fulfills the statement is:

Finally, the right answer is c)
Answer:
B. He used the wrong expression to represent the area of the base of the pyramid.
Step-by-step explanation:
Given
See attachment for pyramid

Required
Vikram's error
The surface area of a square pyramid is:

Where




So:


By comparing the calculated expression with

Option (b) is correct
The answer would be (A) 14.47 gallons. Hope this helps!