Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[1]

Write down the correct mathematical name for the solid.

(a(ii))[2]

Find the volume of the solid for $x = 4$.

(a(iii))[1]

Write down an expression for the volume of the solid, in terms of $x$.

(a(iv))[2]

Find the value of $x$ when the solid has volume $360\text{ cm}^3$.

(b(i))[2]

Fill in the table of values.

(b(ii))[3]

On the grid, draw the graph of $y = 2x^2 + x$ over $0 \le x \le 5$.

(b(iii))[1]

Use your graph to solve the equation $2x^2 + x = 30$ for $0 \le x \le 5$.

Worked solution & mark scheme

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