Provide an appropriate response.Show that the nth triangular number is .

What will be an ideal response?


Answers will vary

Mathematics

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Provide an appropriate response.Find the total force against the surface of a tank full of liquid of weight density 3 for a tank in the shape of a sphere of radius 3.

A. 108? B. 81? C. 324? D. 162?

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Evaluate the integral.

A.  + C
B.  + C
C.  + C
D.  + C

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Solve the equation after making an appropriate substitution.(3x - 6)2 + 3(3x - 6) + 2 = 0

A.
B.
C.
D.

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Let W be the subspace spanned by the u's. Write y as the sum of a vector in W and a vector orthogonal to W.y = , u1 = , u2 = 

A.
y =  + 
B.
y =  + 
C.
y =  + 
D.
y =  + 

Mathematics