Answer:
Yes, only one range value exists for each domain value.
Answer:
76
Step-by-step explanation:
4^2 x 5^2 - 18^2
PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.
Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.
(4x4) x (5x5) - (18x 18)
=16 x 25 - 324
Now we multiply: (PEMDAS)
= 400 - 324
then subtract: (PEMDAS)
=76
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:


Since dx/dt=−2, we have that:

When y = π/4, x is given by:
xcos(y) = 2.

Hence:


Since cot(pi/4) = 1, we have that:

Which means that option a is correct.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer:
Step-by-step explanation:
It is not a function
The 4 in the domain is used more than once
Answer: -4x -8
See picture below for step by step