DP Mathematics HL Questionbank
Optimization problems.
Description
[N/A]Directly related questions
- 16M.2.hl.TZ2.11d: Find the set of values of \(x\) for which \(\alpha \geqslant 7^\circ \).
- 16M.2.hl.TZ2.11c: (i) Find \(\frac{{\text{d}}}{{{\text{d}}x}}(\tan \alpha )\). (ii) Hence or otherwise...
- 17M.1.hl.TZ2.10b: Show that in this case the height of the rectangle is equal to the radius of the semicircle.
- 17M.1.hl.TZ2.10a.ii: Find the width of the window in terms of P when the area is a maximum, justifying that this is a...
- 17M.1.hl.TZ2.10a.i: Find the area of the window in terms of P and \(r\).
- 08M.1.hl.TZ2.13: André wants to get from point A located in the sea to point Y located on a straight stretch of...
- 08N.1.hl.TZ0.9: A packaging company makes boxes for chocolates. An example of a box is shown below. This box is...
- 13M.2.hl.TZ1.7b: Find the value of x, to the nearest metre, such that this cost is minimized.
- 11N.1.hl.TZ0.8c: What route should Jorg take to travel from A to B in the least amount of time? Give reasons for...
- 11N.1.hl.TZ0.11a: Determine the time at which the two ships are closest to one another, and justify your answer.
- 11N.1.hl.TZ0.11b: If the visibility at sea is 9 km, determine whether or not the captains of the two ships can ever...
- 09M.2.hl.TZ2.12: (a) Explain why \(x < 40\) . (b) Show that cosθ = x −10 50. (c) (i) Find an...
- 14M.1.hl.TZ1.11c: Find the coordinates of C, the point of inflexion on the curve.
- 14M.2.hl.TZ2.12: Engineers need to lay pipes to connect two cities A and B that are separated by a river of width...
- 14M.1.hl.TZ2.13d: Find the \(x\)-coordinates of the other two points of inflexion.
- 14M.1.hl.TZ1.11b: Find the coordinates of B, at which the curve reaches its maximum value.
- 14M.1.hl.TZ2.13b: Hence find the \(x\)-coordinates of the points where the gradient of the graph of \(f\) is zero.
- 15N.2.hl.TZ0.13c: The cross section of the living space under the roof can be modelled by a rectangle \(CDEF\) with...
