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This mock test of Calculus (Basic Level) - 1 for GATE helps you for every GATE entrance exam.
This contains 10 Multiple Choice Questions for GATE Calculus (Basic Level) - 1 (mcq) to study with solutions a complete question bank.
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students definitely take this Calculus (Basic Level) - 1 exercise for a better result in the exam. You can find other Calculus (Basic Level) - 1 extra questions,
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QUESTION: 1

Consider the function y = | x | in the interval [-1, 1], In this interval, the function is

Solution:

The function y = | x | in the interval [-1, 1 ] is

| x | is continuous and differentiable every where except at x = 0, where it is continuous but not differentiable.

Since [-1, 1] contains 0, in this interval it is continuous but not differentiable.

QUESTION: 2

Solution:

QUESTION: 3

What is the value of

Solution:

QUESTION: 4

Which one of the following functions is continuous at x = 3?

Solution:

QUESTION: 5

is

Solution:

QUESTION: 6

Evaluate the limit

Solution:

QUESTION: 7

The maximum value of

Solution:

to find the maximum it is enough to consider for [ ]

QUESTION: 8

A polynomial p(x) is such that p(0) = 5, p(1) = 4, p(2) = 9 and p(3) = 20. The minimum degree it can have is

Solution:

Let, P(x) is of degree 1

Subtract

QUESTION: 9

The formula

Solution:

This is Gauss-Chebyshev formula.

QUESTION: 10

Which of the methods is used for finding solutions of differential equations?

Solution:

Euler method is used for solution of differential equation.

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