Provide an appropriate response.Explain how (p + q)2 differs from p2 + q2 by expanding (p + q)2.

What will be an ideal response?


Expanding (p + q)2, one gets (p + q)2 = p2 + 2pq + q2, which differs from p2 + q2 by the term 2pq.

Mathematics

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Solve.A sphere has a radius of 3 in. If the radius is decreased by x in., express the volume of the sphere as a function of x. What is the domain of V = f(x)?

A. V = ?(x - 3)3: 0 ? x ? 3
B. V = ?(3 - x)3: x ? 3
C. V = ?(3 - x)3: 0 ? x < 3
D. V = ?(3 - x)3: 0 < x < 3

Mathematics

At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.y6 + x3 = y2 + 9x, tangent at (0, 1)

A. y = - x - 1
B. y = - x
C. y = x + 1
D. y = x + 1

Mathematics

Solve the problems.On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 679 times per mile, how many times does she turn the pedal in one mile?

A. 683 times B. 388 times C. 1,188.3 times D. 686 times

Mathematics

Determine whether the fractions are equal. and 

A. Yes B. No

Mathematics