CSAT Suneung · Applications of Calculus
Applications of calculus
10 practice questions, each with the answer and an explanation.
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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 10 questions
- The cost function of a factory is C(x) = x^2 - 20x + 150. At what output x is the cost smallest?
- A ball's height in metres is h(t) = 20t - 5t^2. After how many seconds is the ball at its greatest height?
- A ball's height in metres is h(t) = 20t - 5t^2. What is the greatest height?
- The area between the curve y = 4 - x^2 and the x-axis from x = -2 to x = 2 is
- The velocity of a particle is v(t) = 3t^2 - 6t. What is its displacement from t = 0 to t = 2?
- A closed box with a square base of side x and height h has a volume of 32 cm3. Which expression gives its surface area in terms of x?
- The radius of a spherical balloon increases at 2 cm/s. How fast is its volume increasing when the radius is 5 cm? (V = 4/3 pi r^3)
- What is the derivative of y = (2x + 1)^3?
- What is the derivative of y = x e^x at x = 0?
- Evaluate the integral of cos x from 0 to pi/2.
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