Provide an appropriate response.Find the equation of the line perpendicular to y - 2x + 3 = 0 and passing through the point Solve the equation for y.

Fill in the blank(s) with the appropriate word(s).


y = - (1/2)x - 2

Mathematics

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Find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use ? = 3.14 when necessary.

A. 125,600 ft3 B. 510,250 ft3 C. 31,400 ft3 D. 628 ft3

Mathematics

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (7 ln(3t))i + (9t3)j

A. a = - t-2i + 54tj
B. a = t-2i + 54tj
C. a = - i + 54tj
D. a = i + 27tj

Mathematics

Add.(r - 5s - 3) + (-3r + s) + (s - 4)

A. -2r - 3s - 7 B. -3r - 5s - 7 C. -2r - 4s - 7 D. -4r - 3s - 7

Mathematics

Determine the domain and range of the function from the graph.

A. (-?, -6) ? (-6, ?); (-?, 0) ? (0, ?)
B. (-?, -6]; [0, ?)
C. (, ?); (-?, 0]
D. (-?, ?); [0, ?)

Mathematics