Reference no: EM131019768
f(x) = (ax + b) / (x + 2 ); x ∈ R, x ≠ -2,
where a and b are constants and b > 0.
(a) Find f-1(x).
(b) Hence, or otherwise, find the value of a so that ff(x) = x.
The curve C has equation y = f(x) and f(x) satisfies ff(x) = x.
(c) On separate axes sketch
(i) y = f(x),
(ii) y = f(x - 2) + 2.
On each sketch you should indicate the equations of any asymptotes and the coordinates, in terms of b, of any intersections with the axes.
The normal to Cat the point P has equation y = 4x - 39. The normal to C at the point Q has equation y = 4x + k , where k is a constant.
(d) By considering the images of the normals to C on the curve with equation y = f(x - 2) + 2, or otherwise, find the value of k.
|
Show that an equation of the tangent to c at p
: Show that an equation of the tangent to C at P is y = 2x - 2 √2 + In(3+ 2√2). The tangent to C at the point Q is parallel to the tangent to Cat P.
|
|
Determine three reasons why strategic plans fail
: Determine three reasons why strategic plans fail. Recommend a strategy to overcome each of the reasons you identified and include concepts from the weekly reading.#question..
|
|
What is the sign of q associated with each change
: If the contents of the container are the system and heat is able to flow through the container walls, what qualitative changes will occur in the temperatures of the system and in its surroundings? What is the sign of q associated with each change?..
|
|
Determine two fundamental differences between the concepts
: Analyze the concepts of strategic planning and strategic management. Determine two fundamental differences between the concepts that you have analyzed, and provide one example of strategic management and one example of strategic planning as they r..
|
|
Indicate the equations of any asymptotes
: On each sketch you should indicate the equations of any asymptotes and the coordinates, in terms of b, of any intersections with the axes.
|
|
Why is enthalpy change called the enthalpy of formation
: The gas-phase reaction shown, between N2 and O2, was run in an apparatus designed to maintain a constant pressure. Writea balanced chemical equation for the reaction depicted and predict whether w is positive, negative, or zero.
|
|
A team of five laborers working in a garment factory
: A team of five laborers working in a garment factory in Indonesia divides the task of making men's dress shirts for export to Unites States. Each laborer works 10hours day, six days a week, gets paid on Indonesian minimum wage of 2.50 per day. In on..
|
|
How do these diagrams relate to hess law
: Based on (i), write an equation showing how ?HA is related to ?HB and ?HC. How do both diagram (i) and your equation relate to the fact that enthalpy is a state function?
|
|
Justify the cost for each item of the proposed budget
: Create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a Microsoft Excel spreadsheet. You may transfer your budget to your repo..
|