Calculus lab qs

Hoping all is well.

Im sorry this is short notice. I’ve just realized I have a calc lab tmr instead of next week. Is it possible for you to solve these as I am having trouble.

It would mean a lot so I can practice them as 2 of them will be on the lab for assessment.

Thanks a lot!!!


Lab Questions
(Jan 22-26 )
Question 1 Find the domain and range of \(f(x) = \sqrt{2+x-x^2}+1\)
Question 2. Find the domain of \(\cos^{-1}(1-x^2)\)
Question 3. Sketch y =—2 sin(2x) + 1.
Question 4. Find all values of x in the interval from O to \(2\pi\) satisfying the equation

\[2 = \cos(2x) = 3 \cos(x) \]