Engineer & Medical

Area Under Curves question bank (Maths)

Practice 6 free Engineer & Medical Maths - Area Under Curves questions with answers and step-by-step solutions.

Q1.

Define $f:[2,22] \rightarrow \mathbf{R}$ by $f(x)=\max \{n(1-|x-(2 n+1)|): n=1,2, \ldots, 10\}$. The area of the region $\{(x, y): 0 \leq y \leq f(x), x \in[2,22]\}$ is

(A)
5.
(B)
55.
(C)
10.
(D)
60.
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Q2.

GATE Technical Standard: In computational modeling of 'General', what constitutes the primary performance trade-off regarding asymptotic efficiency and resource conservation?

(A)

Minimizing peak algorithmic runtime and memory latency through optimal dynamic constraints (General)

(B)

Maximizing redundant register transfers to force artificial synchronization

(C)

Arbitrary thread serialization without mutex coordination or race mitigation

(D)

Unbounded stack consumption with circular recursive invocation

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