Calculus & Differential Equations
JKSSB Sub-Inspector (Telecommunication) · Engineering Mathematics & Signal Fundamentals · 14 practice questions with answers and explanations: 4 Easy, 6 Medium, 4 Hard.
Sample questions
Sample Easy question 1
What is integration commonly used to compute?
- The area under a curve
- Only the slope of a line
- Only maximum values
- Only the average of two numbers
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Answer: A. Definite integration computes the accumulated area under a function's curve.
Sample Medium question 2
Evaluate the definite integral of x from 0 to 2.
- 1
- 2
- 3
- 4
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Answer: B. ∫x dx from 0 to 2 = [x²/2] evaluated at 2 minus at 0 = 2.
Sample Hard question 3
What type of differential equation is dy/dx = ky (k constant)?
- A first-order linear differential equation, with exponential solution
- A second-order equation
- An equation with no solution
- A non-linear equation always
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Answer: A. This is a classic first-order linear ODE whose solution is y = Ce^(kt), describing exponential growth or decay.