 Lv 2313 points

• ### Suppose that G is a group with the property that for every choice of elements in G, axb = cxd but ab = cd. Prove that G is Abelian. ?

("Middle cancellation" implies commutativity.)

• ### Find an element X in D_4 such that R_90VXH =D'?

Mathematics2 months ago
• ### In a finite group, show that the number of nonidentity elements that satisfy the equation x^5 = e is a multiple of 5.?

If the stipulation that the group be finite is omitted, what can you say about the number of nonidentity elements that satisfy the equation x^5 = e?

Mathematics2 months ago

• ### Show that the group GL(2,R) of Example 9 is non-Abelian by exhibiting a pair of matrices A and B in GL (2,R) such that AB is not equal to BA?

Mathematics2 months ago

• ### Prove that the set of all 2 × 2 matrices with entries from R and determinant +1 is a group under matrix multiplication.?

Mathematics2 months ago

• ### Here are four descriptions of the position (in meters) of a puck as it moves in an xy-plane:?

(1) x = -3t2 + 4t - 2 and y = 6t2- 4t

(2) x = - 3t3 - 4t and y = -5t2 + 6

(3) r = 2t2i – (4t+3) j

(4) r = (4t3– 2t) i +3 j

Is acceleration vector constant?

• ### A woman in a small motor-boat is trying to cross the river that flows due east with a strong current (high speed).?

The woman starts on the south bank and is trying to reach the north bank directly north from her starting point. In what direction she should move?

• ### Two balls are thrown in the air at different angles, but each reaches the same height.?

Which ball remains in the air longer: the one thrown at steeper angle or the one thrown at shallower angle?

• ### What is your speed at the instant you turn around to move in the opposite direction?

2 AnswersPolls & Surveys3 months ago

• ### An ant starts at x = 20 cm on a piece of graph paper and walks along the x axis to x = -20 cm.?

It then turns around and walks back to -10 cm. What is the ant’s displacement and total distance covered?