ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 19

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  C
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  D

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An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

• Differential equation A
• Initial condition B
• General solution C
• Singular equation D

The solution of differential equation:

• dy/dx+y/x = x² is : A
• 4xy = x⁴+ c B
• 4x = x⁴= c C
• 4 y = x⁴+ c D
• 4x=4x³ + c E

• sec 3x + c A
• - cosec 3x + c B
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  C
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  D

• cos 3x + c A
• - cos 3x + c B
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  C
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  D

Archimedes approximate the function by horizontal function and the area under f by the sum of small

• Parallelograms A
• Squares B
• Retangles C
• Polygons D

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∫sin(ax+b) dx is equal to:

• 1/2a cos (ax + b) A
• -1/a cos (ax +b) B
• 1/a cos (ax +b) C
• 1/a ln (ax + b) D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

• 6x - 2 + c A
• x³- x²+ x + c B
• 6x - x²+ c C
• 6x³- x²+ c D

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• In(x²- x + 1) + c B
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• In(2x - 1) + c D

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  D

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

• 15/6 A
• 15/4 B
• 10/4 C
• 10/3 D

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  B
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  C
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  D

• 2x + 3 A
• x²+ 3 + c B
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  C
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  D

∫x sin xdx is equal to:

• sin x/x + cos x A
• sin x - cos x/x B
• x cos x + sin x C
• - x cos x + sin x D

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  A
• 6x + 2 + c B
• 6x + x²+ c C
• 6x³+ x²+ x D

• 2x - 3x + c A
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  B
• x²- 3x + c C
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  D

• a cos(ax + b) + c A
• - a cos(ax + b) + c B
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  C
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  D

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The area between the x-axis the curve y =4x-x2 is :

• 32/2 A
• 15 B
• 18 C
• 21 D

• A variable A
• A constant B
• 0 C
• None of these D