1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow :

Let f(x) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

What is the value of R ? 
A
1
B
2
C
3
D
4
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow :

Let f(x) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

What is f'(0) equal to ?  
A
18
B
16
C
15
D
14
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y2 = 2cx + 2c√c where c is a positive parameter.  

What is the order of the differential equation ?
A
1
B
2
C
3
D
4
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y2 = 2cx + 2c√c where c is a positive parameter.  

What is the degree of the differential equation ? 
A
2
B
3
C
4
D
Degree does not exist 
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