DP Mathematical Studies Questionbank

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Directly related questions

• 18M.1.sl.TZ2.13c: Find the number of shirts produced when the cost of production is lowest.
• 18M.1.sl.TZ2.13b: Find the value of s.
• 18M.1.sl.TZ2.13a: Find the cost of producing 70 shirts.
• 18M.2.sl.TZ1.6f: The designer claims that the new trash can has a capacity that is at least 40% greater than the...
• 18M.2.sl.TZ1.6e: Using your graphic display calculator, find the value of r which maximizes the value of V.
• 18M.2.sl.TZ1.6d: Show that the volume, V cm3 , of the new trash can is given by $V = 110\pi {r^3}$.
• 18M.2.sl.TZ1.6c: Find the height of the cylinder, h , of the new trash can, in terms of r.
• 18M.2.sl.TZ1.6b: Find the total volume of the trash can.
• 18M.2.sl.TZ1.6a: Write down the height of the cylinder.
• 17N.1.sl.TZ0.15d: Find the price, $p$, that will give Maria the highest weekly profit.
• 17N.1.sl.TZ0.15c: Write down an expression for $W$ in terms of $p$.
• 17N.1.sl.TZ0.15b: Find how much Maria earns in one week, from selling cheese, if the price of a kilogram of cheese...
• 17N.1.sl.TZ0.15a: Write down how many kilograms of cheese Maria sells in one week if the price of a kilogram of...
• 10M.2.sl.TZ2.5c: Differentiate A in terms of x.
• 10M.2.sl.TZ2.5d: Find the value of x that makes A a minimum.
• 10M.2.sl.TZ2.5e: Calculate the minimum total surface area of the dog food can.
• 12M.2.sl.TZ2.5c: Find $\frac{{\text{d}V}}{{\text{d}x}}$.
• 12M.2.sl.TZ2.5d: Find the value of x for which V is a maximum.
• 12M.2.sl.TZ2.5e: Find the maximum volume of the container.
• 12M.2.sl.TZ2.5f: Find the length and height of the container for which the volume is a maximum.
• SPM.1.sl.TZ0.15c: Use your answer to part (b) to find the selling price of each machine in order to maximize...
• SPM.2.sl.TZ0.6g: Determine whether Merryn’s design is an improvement upon Nadia’s. Give a reason.
• 08M.2.sl.TZ1.5ii.e: (i)     Hence find the value of $x$ and of $y$ required to make the volume of the box a...
• 08M.2.sl.TZ2.4ii.c: Calculate the minimum cost per person.
• SPM.2.sl.TZ0.6f: (i)     Find the value of $r$ that minimizes the total external surface area of the wastepaper...
• 14M.2.sl.TZ2.5f: The parcel is tied up using a length of string that fits exactly around the parcel, as shown in...
• 14M.2.sl.TZ2.5g: The parcel is tied up using a length of string that fits exactly around the parcel, as shown in...
• 14M.2.sl.TZ2.5h: The parcel is tied up using a length of string that fits exactly around the parcel, as shown in...
• 14M.2.sl.TZ1.6f: The lobster trap is designed so that the length of steel used in its frame is a...
• 14M.2.sl.TZ1.6e: The lobster trap is designed so that the length of steel used in its frame is a minimum. Show...
• 14M.2.sl.TZ1.6g: The lobster trap is designed so that the length of steel used in its frame is a...
• 15M.1.sl.TZ1.15b: Find the value of $x$ that makes the volume a maximum.
• 14N.2.sl.TZ0.3f: A company designs cone-shaped tents to resemble the traditional tepees. These cone-shaped tents...