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A client has had two breast biopsies within 10 years. Both of these biopsies were to drain cysts. The nurse should instruct the client that these procedures will have which impact on the future development of breast cancer?

A male older adult client reports a 2-week history of sleep disruption due to frequently waking up to void in the middle of the night. Where in the review of systems should the nurse document this symptom?

Find the principal unit normal vector N for the curve r(t).r(t) = (4 + t)i + (1 + ln(cos t))k, -π/2 < t < π/2

Find the curvature of the curve r(t).r(t) = (8 + 7 cos 4t) i – (10 + 7 sin 4t)j + 5k

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (8 ln(3t))i + (6t3)j

Find the length of the curve with the given vector equation. r(t) = (1 + 4t)i + (1 + 3t)j + (2 – 2t)k, -1 ≤ t ≤ 0 Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  

Find the length of the curve with the given vector equation. r(t) = (1 + 5t)i + (1 + 6t)j + (3 – 3t)k, -1 ≤ t ≤ 0 Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  

Find the indicated derivative for the given vector-valued function .Find r ‘ (t) for r(t) = (t4)i – (csc t)j + 4k.

Find the indicated derivative for the given vector-valued function .Find r ‘ (t) for r(t) = (t6)i – (csc t)j + 10k.

Find the length of the curve with the given vector equation.r(t) = 4ti + j + k; -6≤ t ≤ 1