A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.Sn: 2 + 7 + 12 + . . . + (5n - 3) = 

What will be an ideal response?


S1:
 
 2 = 2 ?
S2: 2 + 7 
 
 9 = 9 ?
S3: 2 + 7 + 12 
 21 
 21 = 21 ?

Mathematics

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Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 16 cos 2t, v(0) = 9, s(0) = -11

A. s = 4 cos 2t - 9t - 7 B. s = 4 sin 2t + 9t - 7 C. s = - 4 sin 2t + 9t - 7 D. s = - 4 cos 2t + 9t - 7

Mathematics

Find the absolute value.

A. -10.416 B. 5.208 C. 0 D. -5.208

Mathematics

Find the indicated cross product.v = -6i + 5j, w = 2i - 2kFind w × v.

A. -12i - 10j + 10k B. 10i - 10j + 10k C. 4j + 30k D. 10i + 12j + 10k

Mathematics

An object moving vertically is at the given heights at the specified times. Find the position equation for the object.

At t = 1 second, s = 161 feet
At t = 2 seconds, s = 98 feet
At t = 3 seconds, s = 3 feet

a.
b.
c.
d.
e.

Mathematics