All Tasks - Asymptote

Find the differential of the function $y=\arcsin \sqrt{2x+1}$.

Choose the correct answer with matching the parabola with her form $ 1)y= - 3x² $ $ 2) y=\frac{1}{2}x² $ $3) y=4x^2 $ $4) y= -\ \frac{1}{2}x²$

Solve the linear equation by calculating backwards as in the example: 9a – 19 = 17

Which of the following equations is not solvable?

Consider $f(x)= a -2 \arcsin(1-2x)$ with domain $D_f=[0,1]$ and range $D'_f = \left[ 0, 2\pi\right] $. Determine the analytic expression of the inverse function of $f$, $f^{-1}(x)$, and use that to calculate the value of $a \in \mathbb R$ knowing that $f^{-1}(0)=0$.

Find the number $a$ if the following algebraic expression is independent of $y$. $A= a(x+y+2)-2(x+2y)+6$