Solved question paper for EC Dec-2020 (B-TECH 1st-2nd)
Solved Question Paper
Enriched Calculus Dec-2020
PTU • B-TECH • Civil Engineering • 1st-2nd • Dec-2020
Enriched Calculus previous year question papers on BRpaper are organized for students of Punjab Technical University’s Bachelor of Technology program, 1st-2nd semester. This section makes it easier to browse subject-wise old question papers for Enriched Calculus, so students can review how questions are typically framed in past exams and get a sense of the exam pattern. Many students search for enriched calculus previous year question paper while preparing for exams, and this page is built to support exactly that kind of subject-wise browsing and revision. BRpaper is not the official website of Punjab Technical University or any institution, and it does not publish official notices or academic updates.
These Questions are downloaded from www.brpaper.com. You can also download previous years question papers of 10th and 12th (PSEB & CBSE), B-Tech, Diploma, BBA, BCA, MBA, MCA, M-Tech, PGDCA, B-Com, BSc-IT, MSC-IT.
Solved Questions
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SECTION -B & C have FOUR questions each.Short Answer Dec-2020 • PTU B-TECH
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Select atleast TWO questions from SECTION -B &C.Short Answer Dec-2020 • PTU B-TECH
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Iff@= x and g(x)= x —x~-6. Find gof.Short Answer Dec-2020 • PTU B-TECH
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State second derivative test for local extrema.Short Answer Dec-2020 • PTU B-TECH
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Evaluate lim 2a100" x>100 x —10 3x-k, xS2 . .Short Answer Dec-2020 • PTU B-TECH
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Suppose ¢(x) = . Determine a value of the constant k for which lim ¢(x) x+2, x>2 x2 exists and state the value of the limit, if possible. x -x-6 5 . . oo. ———, x¥#3Short Answer Dec-2020 • PTU B-TECH
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Discuss the continuity of f(x) = x—3 atx =3. 5 » x=3Short Answer Dec-2020 • PTU B-TECH
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Using the definition of derivative, find an equation of the line tangent to the graph of f(x) =3° + 4x at (1, 5) 7 ae logx+e*Short Answer Dec-2020 • PTU B-TECH
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Compute the derivative of ———— sin 5x 1 | M-77255 433Short Answer Dec-2020 • PTU B-TECH
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Ifx? + 2xy+y* = 42, find cm dxShort Answer Dec-2020 • PTU B-TECH
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Give an example of a function that is one-to-one on the entire real number line.Short Answer Dec-2020 • PTU B-TECH
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Astone is launched vertically upward from a bridge 80 ft above the ground at a speed of 64 ft/s. Its height above the ground ¢ seconds after the launch is given by f(f) = — 6F +64t+ 80, for 0 <t< 5. When does the stone reach its maximum height?Short Answer Dec-2020 • PTU B-TECH
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Find the inverse of the function f (x) = ron and write it in the form y = f'(@). Also verify the relationships f(f | (x)) =x and f ! (f(x) = x.Short Answer Dec-2020 • PTU B-TECH
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Find the domain and range of the function f(=Vx" —2x-3.Short Answer Dec-2020 • PTU B-TECH
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Letf(xy= lel for x # 0. Does lim f(x) exist? Explain your reasoning after first x x0 examining lim f(x), lim f(x). x07 x07 _ 43Short Answer Dec-2020 • PTU B-TECH
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Evaluate lim [s+ + a) x >-” x xShort Answer Dec-2020 • PTU B-TECH
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The side of an equilateral triangle is increasing at the rate of 2 cm/second. At what rate is its area increasing when the side of the triangle is 20 cm? x +1 if x<0Short Answer Dec-2020 • PTU B-TECH
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Detemine the intervals of continuity for f(x) = “~ 3x+5 if x>0 x? sin xShort Answer Dec-2020 • PTU B-TECH
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Find the derivative of ———— 1+ cos xShort Answer Dec-2020 • PTU B-TECH
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Find the maximum value of (x — ly +3 in the interval [—3, 1]. 2 | M-77255 433Short Answer Dec-2020 • PTU B-TECH
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Iff(~)=x*"*. Finds’ (x) G)Short Answer Dec-2020 • PTU B-TECH
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A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m to 1 m. It is initially empty and is filled at the rate of 1 m/minute. How fast is the water level rising 250 minutes after the filling begins? How long will it take to fill the pool? (5)Short Answer Dec-2020 • PTU B-TECH
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A 10-ft-tall fence runs parallel to the wall of a house at a distance of 4 ft. Find the length of the shortest ladder that extends from ground to the house without touching the fence. Assume that the vertical wall of the house and the horizontal ground have infinite extent.(8)Short Answer Dec-2020 • PTU B-TECH
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Find the antiderivative of the function Wey 2x. Check your answer by taking x derivative. (4)Short Answer Dec-2020 • PTU B-TECH
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Evaluate lim log ,,.5, sin x. x0T (4) x?Short Answer Dec-2020 • PTU B-TECH
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Use the graphing guidelines to graph the function /(x)=—-400x. (8) Pe] NOTE : Disclosure of Identity by writing Mobile No. or Marking of passing request on any paper of Answer Sheet will lead to UMC against the Student. 3 | M-77255 433Short Answer Dec-2020 • PTU B-TECH
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FAQ
Frequently Asked Questions
Answers about this subject, solved papers, and preparation.
01 Where can I find Enriched Calculus previous year question papers for Bachelor of Technology, 1st-2nd semester?
This page lists Enriched Calculus question papers uploaded for Punjab Technical University Bachelor of Technology, 1st-2nd semester, organized for subject-wise browsing where available.
02 Are these official Punjab Technical University question papers?
BRpaper is not the official website of Punjab Technical University. These papers are shared for reference and revision purposes only and are not official university material.
03 How can previous year Enriched Calculus papers help in exam preparation?
Reviewing past papers can help you understand how questions are typically framed, notice commonly repeated topics, and get a sense of the exam pattern before your own exam.
04 What kind of topics does Enriched Calculus usually cover?
The question papers here relate to the official Enriched Calculus syllabus set by the university for this course and semester.
05 Does this page include a Enriched Calculus previous year question paper or solved answers?
This page focuses on providing access to the previous year question papers themselves. A separate question bank or solved answers may not be available for every paper.
06 Can I find papers for other subjects in the same Bachelor of Technology?
Yes, BRpaper organizes papers by university, course, stream, and semester, so you can browse other subjects within the same Punjab Technical University Bachelor of Technology.