The first term of the arithmetic sequence is and the common difference is (-). Which term of this sequence is


Mathematics

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Find an equation of the tangent line at the indicated point on the graph of the function.y = f(x) = 2 - x + 9, (x, y) = (4, 9)

A. y = - x + 11
B. y = - x + 9
C. y = 9
D. y = x - 11

Mathematics

Solve the problem.A merchant has coffee worth $40 a pound that she wishes to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $40 coffee should be used?

A. 30 lb B. 60 lb C. 15 lb D. 120 lb

Mathematics

Solve the given third- or fourth-order differential equation.D3y + 2 D2y - 63 Dy = 0

A. y = c1e9x + c2e-7x  B. y = c1 + c2e-9x + c3e7x  C. y = c1 + c2e9x + c3e-7x  D. y = c1e-9x + c2e7x 

Mathematics

Solve the problem.Prove that dt = dt + dt

What will be an ideal response?

Mathematics