This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Limits and Derivatives of Several Variables – 1”. 1. Find a) ∞ b) 0 c) Does Not Exist d) 121 2. Find a) 0 b) 1 c) Does Not exist d) ∞ 3. Find a) ∞ b) 1⁄2 c) 1 d) 1⁄3 … Read more
This set of Differential and Integral Calculus Quiz focuses on “Envelopes”. 1. Envelope of a family of curves can be defined as __________ a) A curve which touches 50% of the family of curves b) A curve which is a straight line c) A curve which touches each member of the family of curves d) … Read more
This set of Differential and Integral Calculus Problems focuses on “Evolutes”. 1. The name of the evolute of an ellipse is ___________ a) Centroid b) Astroid c) Asteroid d) Cycloid 2. The curvature of a curve is equal to ____________ a) Reciprocal of radius of curvature b) Radius of Curvature c) Twice the radius of … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Curvature”. 1. The curvature of a function f(x) is zero. Which of the following functions could be f(x)? a) ax + b b) ax2 + bx + c c) sin(x) d) cos(x) 2. The curvature of the function f(x) = x2 + … Read more
This set of Differential and Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Derivatives of Area”. 1. What is the maximum area of the rectangle with perimeter 620 mm? a) 24,025 mm2 b) 22,725 mm2 c) 24,000 mm2 d) 24,075 mm2 2. Power Rule of the derivative states that, a) True b) False … Read more
This set of Differential Calculus Question Bank focuses on “Derivative of Arc Length”. 1. For the cartesian curve y=f(x) with ‘s’ as arc length which of the following condition holds good? a) b) c) d) 2. For the curve what is the value of ? (where φ is the angle made by tangent to the … Read more
This set of Differential Calculus Multiple Choice Questions & Answers focuses on “Polar Curves”. 1. For the below mentioned figure the angle between radius vector (op) ⃗ and tangent to the polar curve where r=f(θ) has the one among the following relation? a) b) c) d) 2. The angle between Radius vector r=a(1-cosθ)and tangent to … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers focuses on “Indeterminate Forms – 4”. 1. is a) 0 b) 1 c) 2 d) 3 2. Value of limx → 0(1+Sin(x))Cosec(x) a) e b) 0 c) 1 d) ∞ 3. Value of limx → 0(1+cot(x))sin(x) a) e b) e2 c) 1⁄e d) Can not … Read more
This set of Engineering Mathematics MCQs focuses on “Indeterminate Forms – 3”. 1. What are Intermediate Forms? a) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can give rational number directly b) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can give finite number directly c) Forms(f(x)/g(x)) whose limits x tends to ‘a’ can not be infinite … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Indeterminate Forms – 2”. 1. Find a) ∞ b) 0 c) 2 d) -∞ 2. Find a) 3⁄2 b) 0 c) 4⁄3 d) –4⁄3 3. Find relation between a and b such that the following limit is got after a single application … Read more
