Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 1 - 6 of 12

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Question 1

Engineering Mathematics
First Order and Higher Order Linear Differential Equations
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Appeared in Year: 2015

Question

Numeric Answer▾

Consider a spatial curve in three-dimensional space given in parametric form by

The length of the curve is

Question 2

Engineering Mathematics
System of Linear Equations
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Appeared in Year: 2015

Question

Numeric Answer▾

Consider an ant crawling along the curve , where and are in meters. The ant starts at the point (4,0) and moves counterclockwise with a speed of 1.57 meters per second. The time taken by the ant to reach the point (2,2) is (in seconds) ________

Question 3

Engineering Mathematics
Integration by Trapezoidal and Simpson'S Rule
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Appeared in Year: 2015

Question

Numeric Answer▾

Simpson’s rule is used to integrate the function between and using the least number of equal sub-intervals. The value of the integral is________

Question 4

Engineering Mathematics
Poisson Distribution
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Appeared in Year: 2015

Question

MCQ▾

Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?

Four Normal Distribution

Four Normal Distribution

Loading image

Choices

Choice (4)Response
a.III
b.II
c.I
d.IV

Question 5

Engineering Mathematics
Limit
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Appeared in Year: 2015

Question

MCQ▾

The value of is

Choices

Choice (4)Response
a.undefined
b.
c.0
d.

Question 6

Engineering Mathematics
Matrix Algebra
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Appeared in Year: 2015

Question

MCQ▾

If any two columns of a determinant are interchanged, which one of the following.

Statements regarding the value of the determinant is CORRECT?

Choices

Choice (4)Response
a.Absolute value will change but sign will not change.
b.Absolute value remains unchanged, but sign will change.
c.Both absolute value and sign will change.
d.Both absolute value and sign will remain unchanged.