| 4461 |
The local minimum value of f(x) = 2x³ − 6x + 5 is: |
Mathematics/Applied Mathematics
Maxima, minima and monotonicity |
Medium |
| 4462 |
The absolute maximum value of f(x) = x³ − 12x on the interval [−3, 3] is: |
Mathematics/Applied Mathematics
Maxima, minima and monotonicity |
Medium |
| 4463 |
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 |
| 4464 |
The value of ∫(4x³ − 6x) dx is: |
Mathematics/Applied Mathematics
Integration and area |
Easy |
| 4465 |
The value of ∫₀² (2x + 1) dx is: |
Mathematics/Applied Mathematics
Integration and area |
Easy |
| 4466 |
The value of ∫₀¹ eˣ dx is: |
Mathematics/Applied Mathematics
Integration and area |
Medium |
| 4467 |
The area of the region enclosed by the parabola y = 4 − x² and the x-axis is: |
Mathematics/Applied Mathematics
Integration and area |
Medium |
| 4468 |
The area of the region enclosed between the line y = x and the parabola y = x² is: |
Mathematics/Applied Mathematics
Integration and area |
Hard |
| 4469 |
Consumer surplus measures: |
Mathematics/Applied Mathematics
Consumer and producer surplus |
Easy |
| 4470 |
On a price–quantity graph, the consumer surplus at market price p₀ is the area: |
Mathematics/Applied Mathematics
Consumer and producer surplus |
Easy |
| 4471 |
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 |
| 4472 |
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 |
| 4473 |
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 |
| 4474 |
The order and degree of the differential equation d³y/dx³ + (d²y/dx²)² + y = 0 are: |
Mathematics/Applied Mathematics
Differential equations |
Easy |
| 4475 |
The particular solution of dy/dx = 3x² that satisfies y(1) = 2 is: |
Mathematics/Applied Mathematics
Differential equations |
Easy |
| 4476 |
The general solution of dy/dx = x/y is: |
Mathematics/Applied Mathematics
Differential equations |
Medium |
| 4477 |
The general solution of the linear differential equation dy/dx + 2y = 4 is: |
Mathematics/Applied Mathematics
Differential equations |
Medium |
| 4478 |
A sum of money grows continuously so that dA/dt = 0.05A, with t in years. Approximately how long does it take… |
Mathematics/Applied Mathematics
Differential equations |
Hard |
| 4479 |
For a random variable X with P(X = 0) = 1/4, P(X = 1) = 1/2 and P(X = 2) = 1/4, the value of E(X) is: |
Mathematics/Applied Mathematics
Random variables and expectation |
Easy |
| 4480 |
A random variable has P(X = x) = kx for x = 1, 2, 3, 4. The value of k is: |
Mathematics/Applied Mathematics
Random variables and expectation |
Easy |