Find by implicit differentiation.

10 cos x siny = 16


tax (x) tan (y)

Mathematics

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Multiply the polynomials.(-4x - 10y)(2x - 2y + 1)

A. -8x2 + 8xy - 4x + 20y2 B. -8x2 - 20xy - 4x + 20y2 - 10y C. -8x2 - 12xy - 4x + 20y2 - 10y D. -8x2 - 12xy - 12y2

Mathematics

Find the following using a calculator. Round to four decimal places.ln 12,600,000

A. 7.1004 B. 4.8363 C. 0.0610 D. 16.3492

Mathematics

Sketch the graph and show all local extrema and inflection points.f(x) = 2x3 - 15x2 + 24x

A. Local max: (1, 11)
Local min: (4-16)
Inflection point: 

B. Local min: (3, 6)
No inflection point

C. Local max: (0, 0)
Local min: (2, -8)
Inflection point: (1, -4)

D. No extrema
Inflection point: (0, 0)

Mathematics

Solve the linear programming problem.Minimize z = 21x + 18y + 11 subject to:x ? 0,y ? 0,x + y ? 1.

A. minimum: 11 B. minimum: 50 C. minimum: 29 D. minimum: 32

Mathematics