Consider the parabola y = 6x − x2. (a) find the slope of the tangent line to the parabola at the point (1, 5).

Given expression is

And we have to find the slope of the tangent line at the point (1,5), and for that, first we find the derivative of the given expression, which is

And the derivative is the slope. And to find the slope at point (1,5), we put 1 for x in the expression of derivative, that is

Hence, the slope of the tangent line to the parabola at the point (1, 5) is 4.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.