Test: Engineering Mathematics- 6


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10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2023 Mock Test Series | Test: Engineering Mathematics- 6

Test: Engineering Mathematics- 6 for Computer Science Engineering (CSE) 2023 is part of GATE Computer Science Engineering(CSE) 2023 Mock Test Series preparation. The Test: Engineering Mathematics- 6 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Engineering Mathematics- 6 MCQs are made for Computer Science Engineering (CSE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Engineering Mathematics- 6 below.
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Test: Engineering Mathematics- 6 - Question 1

What is the value of
 

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Test: Engineering Mathematics- 6 - Question 2

Detailed Solution for Test: Engineering Mathematics- 6 - Question 2


= x – 2 tan –1 (x/2)+ C

Test: Engineering Mathematics- 6 - Question 3

The value of 
 

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Test: Engineering Mathematics- 6 - Question 4

∫e{f(x) + f′(x)} dx is equal to

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Test: Engineering Mathematics- 6 - Question 5

Find the value of the given function f?

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Test: Engineering Mathematics- 6 - Question 6

What it the value of 

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Test: Engineering Mathematics- 6 - Question 7

Find the value of 

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Test: Engineering Mathematics- 6 - Question 8

If x = -1 and x = 2 are extreme points of f(x) = a log |x| + βx2 + x then

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(f'(x)) = 0

a/x + 2bx +1= 0

at  x=-1,  -a - 2b + 1 = 0

a + 2b = 1 ..........(1)

At x=2,  a/2 + 4b + 1 = 0

a + 8b = -2 ..........(2)

subtracting (1) & (2),   b=-1/2

=> a=2

Test: Engineering Mathematics- 6 - Question 9

Solve the integral 

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*Answer can only contain numeric values
Test: Engineering Mathematics- 6 - Question 10


Detailed Solution for Test: Engineering Mathematics- 6 - Question 10


= 0 - 1 = - 1

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