Find the tenth term of the sequence: 1, 9, 17, 25, …. Solution:- Find the common difference and use the explicit formula for arithmetic sequences: an =…
Month: May 2015
Problem 684
Which of the following represents an example of the Fibonacci sequence in nature? Solution:- Examples of the Fibonacci sequence in nature tend to have a spiral pattern.…
Problem 683
The Fibonacci sequence in nature is best represented by which of the following? Solution:- Examples of the Fibonacci sequence in nature tend to have a spiral pattern.…
Problem 682
Write down an (in)equality which describes the solid ball of radius 2 centered at (1, -4, -9). It should have a form like where you use one of the following…
Problem 681
Find the center and radius of the sphere Center: ( , , ) Radius:…… Solution:- Center: (3,5,10) Radius:- 8
Problem 680
Find an equation of the largest sphere with center (10, 3 , 5) that is contained completely in the first octant. ……………………..= 0 Solution:- =0
Problem 679
Find an equation of the sphere that passes through the origin and whose center is (7, -3, -6). ……………………….= 0 Solution:-
Problem 678
Find the equation of the sphere if one of its diameters has endpoints (4, -3, 1) and (6, 1, 7). ………………………= 0. Solution:- =0
Problem 677
Find the equation of the sphere centered at (-2;10;9) with radius 10. ………………………….= 0. Give an equation which describes the intersection of this sphere with the plane z =…
Problem 676
What do the following equations represent in R3? Match the two sets of letters: a. a vertical plane b. a horizontal plane c. a plane which is neither vertical nor…
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