Graduate Record Exam Mathematics

Hello sir, I am Nakul Nuwal. I am from Ahmedabad. I want you to help me by giving me some information about the Graduate record Mathematics practice questions. Can you provide me with it?

[Shaleen]

As you have asked about the Graduate record Mathematics practice questions, I am providing you with it, check belwof or the details
In the xy-plane, the curve with parametric equations cos x t and sin , y t 0 , t p has length
(A) 3
(B) p
(C) 3p
(D) 3/2
(E)pie/2

Which of the following is an equation of the line tangent to the graph of x y x e at 0 ? x
(A) y x
(B) 1 y x
(C) 2 y x
(D) 2 y x
(E) 2 1 y x

Let C be the collection of all continuous functions from to . Then C is a real vector space with
pointwise addition and scalar multiplication defined by
f g x f x g x and rf x rf x
for all , f g C and all , . r x Which of the following are subspaces of ? C
I. : is twice differentiable and 2 3 0 for all ff fx f x f x x
II. : is twice differentiable and 3 for all g g g x g x x
III. : is twice differentiable and 1 for all h h h x h x x
(A) I only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III


The figure above shows an undirected graph with six vertices. Enough edges are to be deleted from the graph in order to leave a spanning tree, which is a connected subgraph having the same six vertices and no cycles.
How many edges must be deleted?
(A) One
(B) Two
(C) Three
(D) Four
(E) Five







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