This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Euler’s Theorem – 1”. 1. f(x, y) = x3 + xy2 + 901 satisfies the Euler’s theorem. a) True b) False 2. f(x, y)= find the value of fy at (x,y) = (0,1). a) 101 b) -96 c) 210 d) 0 3. … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Implicit Partial Differentiation”. 1. Which of the following functions represent an implicit function, where f(x) and ‘y’ are dependent variables and x denotes independent variable? a) f(x) = x2 + y2 + z2 b) f(x) = 3×2 + 4x + 1 c) … Read more
This set of Basic Engineering Mathematics Questions and Answers focuses on “Partial Differentiation – 2”. 1. Differentiation of function f(x,y,z) = Sin(x)Sin(y)Sin(z)-Cos(x) Cos(y) Cos(z) w.r.t ‘y’ is? a) f’(x,y,z) = Cos(x)Cos(y)Sin(z) + Sin(x)Sin(y)Cos(z) b) f’(x,y,z) = Sin(x)Cos(y)Sin(z) + Cos(x)Sin(y)Cos(z) c) f’(x,y,z) = Cos(x)Cos(y)Cos(z) + Sin(x)Sin(y)Sin(z) d) f’(x,y,z) = Sin(x)Sin(y)Sin(z) + Cos(x)Cos(y)Cos(z) 2. In euler theorem … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Partial Differentiation – 1”. 1. f(x, y) = x2 + xyz + z Find fx at (1,1,1) a) 0 b) 1 c) 3 d) -1 2. f(x, y) = sin(xy) + x2 ln(y) Find fyx at (0, π⁄2) a) 33 b) 0 … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Implicit Differentiation”. 1. x3 Sin(y) + Cos(x) y3 = 0, its differentiation is? a) b) c) d) 0 2. Find the differentiation of x3 + y3 – 3xy + y2 = 0? a) b) c) d) 3. Find the differentiation of x4 … Read more
This set of Differential and Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Total Derivative”. 1. The total derivative is the same as the derivative of the function. a) True b) False 2. What is the derivative of with respect x? a) b) c) d) 3. Find the range in which the function … Read more
This set of Differential and Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Variable Treated as Constant”. 1. If z=3xy+4×2, what is the value of ? a) 3y+8x b) 3x+4×2 c) 3xy+8x d) 3y+3x+8x 2. The value of =8×2+6xy2+4. What is the function z expressed as? a) z=8×3+2×2 y2+4x b) z=8×2 y+2xy3+4y c) … Read more
This set of Engineering Mathematics online quiz focuses on “Limits and Derivatives of Several Variables – 4”. 1. is where u ,v, w are the functions of x a) u’vw + uv’w + uvw’ b) uvw + uv’w’ + u’v’w’ c) u’v’w + uv’w’ + u’vw’ d) uv’w’ + u’v’w’ + uvw 2. is where … Read more
This set of Engineering Mathematics online test focuses on “Limits and Derivatives of Several Variables – 3”. 1. limx → 1 (x-1)Tan(πx⁄2) is? a) 0 b) –1⁄π c) –2⁄π d) 2⁄π 2. Value of limit always be in the range of function. a) True b) False 3. Which of the following is a necessary Conditions … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Limits and Derivatives of Several Variables – 2”. 1. Two men on a surface want to meet each other. They have taken the point (0, 0) as meeting point. The surface is 3-D and its equation is f(x,y) = . Given that … Read more
