Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 25

A. All points outside the cylinder with radius 5
B. All points outside the sphere of radius 5
C. All points in space
D. All points on the surface of the cylinder with radius 5


Answer: B

Mathematics

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Sketch the graph and show all local extrema and inflection points.y = ex - 4e-x - 5x

A. Local minimum (2, -2)
No inflection point

B. Local maximum (0, -3)
Local minimum (ln 4, 3 - 5 ln 4)
No inflection point

C. Local maximum (0, -3)
Local minimum (ln 4, 3 - 5 ln 4)
Inflection point ( ln 4, -  ln 4)

D. Local minimum ( ln 4, -  ln 4)
No inflection point

Mathematics

Solve the problem.If $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $4800 at 9%? Round to the nearest tenth.

A. 7.7 years B. 2.0 years C. 7.4 years D. 9.2 years

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If and are two tangents to a circle at points A and B from a common point P outside the circle and PB = 82 cm, find PA.

What will be an ideal response?

Mathematics

Find the sum or difference. - 

A.
B. 0
C. 2
D.

Mathematics