TOPIC-WISE QUESTIONS (31)
Topics Used in This Course
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Uncategorized Questions
31 Questions
1.
Evaluate the following limit.
Marks: 5.00 |
Exam: 2nd Mid |
Session: 23-24 |
Exam Date: 04 Aug, 2025 |
Course Teacher:
N/A
Solution is Coming!
2.
Find an equation for the tangent line to the curve......
Marks: 5.00 |
Exam: 2nd Mid |
Session: 23-24 |
Exam Date: 04 Aug, 2025 |
Course Teacher:
N/A
Solution is Coming!
3.
Show that Mean Value Theorem holds for f(x) = x²
...
Marks: 5.00 |
Exam: 2nd Mid |
Session: 23-24 |
Exam Date: 04 Aug, 2025 |
Course Teacher:
N/A
Solution is Coming!
4.
Show that Rolle's Theorem holds for f(x) = x²-4x+6......
Marks: 5.00 |
Exam: 2nd Mid |
Session: 23-24 |
Exam Date: 04 Aug, 2025 |
Course Teacher:
N/A
Solution is Coming!
5.
Expand the following term using Leibniz's Theorem
Marks: 5.00 |
Exam: 2nd Mid |
Session: 23-24 |
Exam Date: 04 Aug, 2025 |
Course Teacher:
N/A
Solution is Coming!
6.
Evaluate the following limit.
Marks: 4.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
7.
Find the slopes of the tangent lines to the curve
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
8.
Show that Mean Value Theorem holds for
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
9.
Find the local extrema of
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
10.
Compute the curvature for f(x) = x²-6x+15.
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
11.
Find the angle between the lines 3x-4y +6 = 0 and ......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
12.
Check orthogonality for the circles x²+y²+4x+6y+9=......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
13.
Find the tangent to x²+y²=25 at point (3,4).
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
14.
Show that the function
is continuous at the point......
Marks: 3.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
15.
Find the volume of the largest possible right circ......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
16.
Find the first four terms in the expansion of ln s......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
17.
Evaluate the following limit.
Marks: 4.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
18.
Find dy/dx for the followings
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
19.
Show that Rolle's Theorem holds for
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
20.
Find Find the inflection points of f(x) and deter......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
21.
Compute the radius and center of curvature for f(x......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
22.
Find the distance of the point (-2,1) from the lin......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
23.
Find the radical axis of the circles x² + y²+ 4x +......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
24.
Find the chord of contact from (7,2) to the circle......
Marks: 6.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
25.
Find dy/dx (any two) if:
(i) x = at2, y = 2at,  (......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
26.
If y = cos(m sin-1 x) then prove that (1 - x²)yn+2......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
27.
If,Â
be finite, find the value of a and also the ......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
28.
Evaluate the following limit.
Marks: 4.00 |
Exam: Final |
Session: 23-24 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
29.
If the tangent to the curve âx + ây = âa at any po......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
30.
Find the intervals on which the function f(x) = 2x......
Marks: 3.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
31.
Find the equation of circle of curvature of the cu......
Marks: 2.00 |
Exam: 2nd Mid |
Session: 24-25 |
Exam Date: N/A |
Course Teacher:
N/A
Solution is Coming!
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