Provide an appropriate response.Show that if a particle's velocity vector is always orthogonal to its acceleration vector then the particle's speed is constant.

What will be an ideal response?


Given: v and a are orthogonal. Thus v?a = v?(dv/dt) = d(v?v)/dt = 0.
So, v?v = 2 = constant and thus  = constant.

Mathematics

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Find the domain and graph the function.F(t) = 

A. D: (-?, 0) ? (0, ?)

B. D: (-?, ?)

C. D: (-?, -1) ? (-1, ?)

D. D: (-?, -1) ? (-1>, ?)

Mathematics

Which set of ordered pairs is a function? For each function, name the set of inputs (domain) and the set of outputs (range).

a. (7, 9), (7, 11), (7, 13) b. (7, 9), (9, 11), (11, 13) A) b is a function. Domain is {7, 9, 11}, range is {9, 11, 13}. B) a is a function. Domain is {7}, range is {9, 11, 13}. C) a is a function. Domain is {7}, range is {9, 11, 13}. b is a function. Domain is {7, 9, 11}, range is {9, 11, 13}. D) b is a function. Domain is {7}, range is {9, 11, 13}. a is a function. Domain is {7, 9, 11}, range is {9, 11, 13}. E) a and b are not functions.

Mathematics

Graph the function.f(x) = 

A.

B.

C.

D.

Mathematics

Add or subtract. + 

A.
B.
C.
D.

Mathematics