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301 questions found · practise this subject as a set
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| # | Question | Subject and topic | Difficulty |
|---|---|---|---|
| 201 | The total cost function is C(x) = x² + 4x + 100. At what output is the average cost minimum? | Mathematics/Applied Mathematics Marginal cost and marginal revenue |
Hard |
| 202 | The function f(x) = x² − 4x + 1 is decreasing on: | Mathematics/Applied Mathematics Maxima, minima and monotonicity |
Easy |
| 203 | A firm's profit from selling x units is P(x) = −x² + 40x − 300. The maximum profit is: | Mathematics/Applied Mathematics Maxima, minima and monotonicity |
Easy |
| 204 | The local minimum value of f(x) = 2x³ − 6x + 5 is: | Mathematics/Applied Mathematics Maxima, minima and monotonicity |
Medium |
| 205 | The absolute maximum value of f(x) = x³ − 12x on the interval [−3, 3] is: | Mathematics/Applied Mathematics Maxima, minima and monotonicity |
Medium |
| 206 | A farmer has 100 m of fencing to enclose a rectangular field along a straight river; no fence is needed on th… | Mathematics/Applied Mathematics Maxima, minima and monotonicity |
Hard |
| 207 | The value of ∫(4x³ − 6x) dx is: | Mathematics/Applied Mathematics Integration and area |
Easy |
| 208 | The value of ∫₀² (2x + 1) dx is: | Mathematics/Applied Mathematics Integration and area |
Easy |
| 209 | The value of ∫₀¹ eˣ dx is: | Mathematics/Applied Mathematics Integration and area |
Medium |
| 210 | The area of the region enclosed by the parabola y = 4 − x² and the x-axis is: | Mathematics/Applied Mathematics Integration and area |
Medium |
| 211 | The area of the region enclosed between the line y = x and the parabola y = x² is: | Mathematics/Applied Mathematics Integration and area |
Hard |
| 212 | Consumer surplus measures: | Mathematics/Applied Mathematics Consumer and producer surplus |
Easy |
| 213 | On a price–quantity graph, the consumer surplus at market price p₀ is the area: | Mathematics/Applied Mathematics Consumer and producer surplus |
Easy |
| 214 | The demand function is p = 20 − 2x and the market quantity is x₀ = 5. The consumer surplus is: | Mathematics/Applied Mathematics Consumer and producer surplus |
Medium |
| 215 | The supply function is p = 2 + x and the market quantity is x₀ = 4. The producer surplus is: | Mathematics/Applied Mathematics Consumer and producer surplus |
Medium |
| 216 | The demand function is p = 36 − x² and the supply function is p = 4 + x². The consumer surplus at market equi… | Mathematics/Applied Mathematics Consumer and producer surplus |
Hard |
| 217 | The order and degree of the differential equation d³y/dx³ + (d²y/dx²)² + y = 0 are: | Mathematics/Applied Mathematics Differential equations |
Easy |
| 218 | The particular solution of dy/dx = 3x² that satisfies y(1) = 2 is: | Mathematics/Applied Mathematics Differential equations |
Easy |
| 219 | The general solution of dy/dx = x/y is: | Mathematics/Applied Mathematics Differential equations |
Medium |
| 220 | The general solution of the linear differential equation dy/dx + 2y = 4 is: | Mathematics/Applied Mathematics Differential equations |
Medium |