Answer and Step-by-step explanation: The described right triangle is in the attachment.
As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:
AC² = AB² + BC²
AB = 5.4
Then, right triangle ABC measures:
AB = 5.4cm
BC = 4.5cm
AC = 7cm
Differentiate both sides wrt :
By the chain rule, we get
Solve for :
The method to identify the domain and range of functions is by using graphs :-
⚡ The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis .
⚡ The range is the set of possible output values, which are shown on the y-axis .
See the attachment figure .
[NOTE :- Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values .]
✍️ So, we can observe that the graph extends horizontally from -3 to the right with +10 .
✯ Hence, the domain is [-3 , 10] .
