Find the unit tangent and unit normal vectors t(t) and N(t) for the curve C defined by r(t) = ti + 2t²j. Sketch the graph of C, and show T(t) and N(t) for t = 1.

What will be an ideal response?


Mathematics

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The following table shows the number M, in thousands, of magazine subscriptions t years after initial publication. Use exponential regression to determine when the number of subscriptions can be expected to reach 0.6025 thousand. Round your answer to two decimal places.  t 1.77 4.85 8.35 11.63 14.70 M 8.35 5.18 2.67 2.25 1.85?

A. 23.90 years after initial publication B. 23.33 years after initial publication C. 24.95 years after initial publication D. 23.41 years after initial publication

Mathematics

Find the perimeter of the polygon.

A. 17.4 cm B. 13.6 cm C. 18 cm D. 23 cm

Mathematics

Verify the identity.  = - tan(4?) tan(2?)

What will be an ideal response?

Mathematics

Pick which graph satisfies the given conditions.Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient.

A.

B.

C.

D.

Mathematics