Expand using the binomial theorem.

(p + q)?


Mathematics

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Provide an appropriate response.What is the first principle of perspective?

A. All parallel lines never intersect, they remain the same distance apart. B. All lines that are parallel in the real scene and perpendicular to the canvas must intersect at the principal vanishing point of the painting. C. All shapes and sizes must remain equal, regardless of their distance from the viewer. D. None of these.

Mathematics

Find the flux of the vector field F across the surface S in the indicated direction.F = 4x2j  - z3k; S is the portion of the parabolic cylinder y = 4x2 for which 0 ? z ? 2 and -2 ? x ? 2; direction is outward (away from the y-z plane)

A. -128
B. 128
C.
D.

Mathematics

Solve the problem.A child on a swing sweeps out a distance of 20 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance  of the previous pass, how far does the child travel?

A. 60 ft B. 80 ft C. 40 ft D. 100 ft

Mathematics

Find the domain of the function.h(x) = 

A. (-?, 3) ? (3, ?) B. (-?, -3) ? (-3, 0) ? (0, 3) ? (3, ?) C. (-?, 0) ? (0, ?) D. (-?, ?)

Mathematics