For the region bounded by f(x) = 6x² + 3 the x-axis, and the vertical lines x = 0 and x = 4 write and simplify a summation formula for Sn.


Mathematics

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Find the unit tangent vector of the given curve.r(t) = (5t cos t - 5 sin t)j  + (5t sin t + 5 cos t)k

A. T = (-sin t)j  + (cos t)k
B. T = (5 cos t)j  - (5 sin t)k
C. T = - (sin t)j  + (cos t)k
D. T = (-5 sin t)j  + (5 cos t)k

Mathematics

Solve the problem.Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 56x + 900 R(x) = 71x

A. 60 units B. 11 units C. 61 units D. 62 units

Mathematics

Solve the problem.Write a word problem that corresponds to the following equation. n + 2 = 8.

What will be an ideal response?

Mathematics

Graph the rational function.f(x) =  

A.

B.

C.

D.

Mathematics