Asked Jan 16, 2020

Classical accounts tell us that a 170-oar trireme (ancient Greek or Roman warship) once covered 184 sea miles in 24 hours. Explain why at some point during this feat the trireme’s speed exceeded 7.5 knots (sea or nautical miles per hour).


Expert Answer

Step 1


The 170-oar trireme covered a distance of 184 sea miles in 24 hours and its speed exceeded 7.5 knots at some point.

Step 2

Mean value Theorem:

Calculus homework question answer, step 2, image 1
Step 3

Let v(t) be the velocity of the trireme at time t.

The distance covered by the trireme at t = 0 is s(0) = 0 mi.

The distance covered by the trireme at t = 24h ...

Calculus homework question answer, step 3, image 1

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Assume that functions ƒ and g are differentiable with ƒ(1) = 2, ƒ′(1) = -3, g(1) = 4, and g′(1) = -2...

A: Given,


Q: Consider the following function: z = α x+ β y^2, where alpha and beta are constant parameters. Write...

A: To find the total differential dz and partial derivatives.


Q: A point P in the first quadrant lies on the parabola y = x2. Express the coordinates of P as functio...

A: To express the coordinates of P as functions of the angle of inclination of the line joining P to th...


Q: Graph the rational function y = (2 - x2)/x2. Then graph y = cos (2 sec-1 x) in the same graphing win...

A: Graphed y=(2-x^2)/x^2 using graphing calculator.


Q: What do the limits lim h-->0 ((sin h)/h) and lim h-->0 ((cos h - 1)/h) have to do with the der...

A: Show the expression for derivative of sinx0  as follows:


Q: If we write g(x) for ƒ -1(x), Equation (1) can be written as 1 g′(ƒ(a)) = 1/ƒ′(a) , or g′(ƒ(a)) . ƒ′...

A: Let f(x)= z Plug f(x)=z 


Q: Show that the area of triangle ABC is given by sqrt(s(s - a)(s - b)(s - c)) where s = (a + b + c)/2 ...

A: Show that the area of triangle ABC.


Q: If L = 2x2 + y2, dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 1

A: Consider the provided equation and information,


Q: use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...