Calculus
Question 11 (Area of the Region Bounded by Curves)
The area of the region bounded by the curves \(y^2=x-3, y^2=2-x, y=1\) and \(y=-2\) is- (a) 7 (b) 8 (c) 9 (d) 10 Show Answer …
The area of the region bounded by the curves \(y^2=x-3, y^2=2-x, y=1\) and \(y=-2\) is- (a) 7 (b) 8 (c) 9 (d) 10 Show Answer …
Let \(V=\{a_0+a_1x+a_2x^2 : a_0, a_1, a_2 \in \mathbb{R}\}\) be a vector space and \(T:V\rightarrow V\) is a linear transforma…
Which of the following matrices is/are diagonally dominant? (a) \(\begin{bmatrix}-2 & 5 & 0\\ 0 & 1& 1\\ -2 &…
In Jacobi iteration method \(x^{(k+1)}=Hx^{(k)}+c\); \(k=0,1,2,...\), the matrix \(H\) and \(c\) are given by- (a) \(H=D^{-1}…
The solution of Cauchy problem \(xu_x+yu_y=0\) with initial data \(u(x,y)=x\) on \(x^2+y^2=1\) is- (a) Exist for all \(x\) an…
The partial differential equation obtained from \(x=f(z)+g(y)\) by eliminating arbitrary functions \(f\) and \(g\) will be- (a…
Which of the following is/are correct? (a) Every ring without unity can be imbedded into a ring with unity. (b) Every integra…
Which of the following is/are prime as well as maximal ideals of \(\mathbb{Z}_{28}\)- (a) \(2\mathbb{Z}\) (b) \(4\mathbb{Z}\) …
The number of subgroups of \(D_{20}\) are- (a) 20 (b) 40 (c) 48 (d) 50 Show Answer Explanation: (c) is the correct …
Which of the following is/are always correct? (a) If \((F,+,\cdot)\) if a field then \((F^*,\cdot)\) is a cyclic group. (b) Ev…
Which of the following is/are metric on \(\mathbb{R}\)- (a) \( d(x,y)=|sin(x-y)|\) (b) \(d(x,y)=|x|\) (c)…
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