What is the minimum amount of time needed for the crocodile

Assignment Help Mathematics
Reference no: EM131012941

A crocodile is stalking prey located 20 metres further upstream on the opposite bank of a river. Crocodiles travel at different speeds on land and in water. The time taken for the crocodile to reach its prey can be minimised if it swims to a particular point, P, x metres upstream on the other side of the river as shown in the diagram. The time taken, T, measured in tenths of a second, is given by T(x)= 5 √(36 + x2) + 4 (20 - x)

2303_Crocodiles travel at different speeds.png

What is the minimum amount of time needed for the crocodile to catch its prey?

Reference no: EM131012941

Questions Cloud

Conversion option on a convertible bond : In class, we typically infer the value of the conversion option on a convertible bond by subtracting the value of the straight bond component of the convertible bond from the price of the convertible bond itself.
What friction factor can be expected for a flowrate : When the flowrate in a certain smooth pipe is 0.14 cubic meters per second, the friction factor is 0.06. What friction factor can be expected for a flowrate of 0.71 cubic meters per second?
Determine the amount of salt as function of time : An open valve allows water to leave at 4gal/hr. Set up a differential equation with initial condition to determine the amount of salt as function of time.
Determine the velocity of flow at the exit of the pipeline : The height of water level in the tank is 5 m above the axis of the pipe. Determine the velocity of flow at the exit of the pipeline considering all losses. Assume Darcy's frictional coefficient f= 0.01 for the two sections of the pipe.
What is the minimum amount of time needed for the crocodile : A crocodile is stalking prey located 20 metres further upstream on the opposite bank of a river. What is the minimum amount of time needed for the crocodile to catch its prey?
Determine the force in each wire : The chandelier is supported by die four wires shown. Determine the force in each wire. Because of symmetry, the force in all four wires can be assumed to have the same value.
Payday loans are very short-term loans : Payday loans are very short-term loans that charge very high interest rates. You can borrow $250 today and repay $300 in two weeks. What is the compounded annual rate implied by this 20 percent rate charged for only two weeks?
Why is it important to have integrity in your daily life : How would a lack of integrity on the part of your co-workers affect your dealing with them?
One unit of product x used $2.50 of direct materials : If one unit of Product X used $2.50 of direct materials and $3.00 of direct labor, sold for $8.00, and was assigned overhead at the rate of 30% of direct labor costs, how much gross profit was realized from this sale?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the set of fundamental solutions

Find the set of fundamental solutions by using the differential operator method: [D2 - (2α - 1)D + α (α - l)y = 0, t ∈ (0, ∞); and determine the values of α, for which all solutions tend to zero as t→∞.

  Explain why l''hopital''s rule cannot be used to find limit

Explain why L'Hopital's Rule cannot be used to find the limit of Lim x→0 e^2x/x

  Find parametric equations for the motion of the particle

A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.

  Find the area of the triangle

The hypotenuse of a right triangle is 26 cm. One of the legs is 14 cm longers than the other leg.

  Derive the euler-lagrange differential equation

Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..

  T conduct the hypothesis test first compute test

for the data set shown below do they following. a compute the standard error the point estimate for sigma. b assuming

  Solve the equation on the interval

Solve the equation on the interval.

  Correlation between coffee and cholesterol

A study from a Colombian research center is about to publish a pilot study regarding a new coffee plant that they believe can reduce total cholesterol in humans. They gave increasing doses (cups of coffee) to a test patient over several weeks and ..

  Real-life applications of functions

Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?

  Find the dimensions of the poster

A rectangular poster has an area of 190 in. The height of the poster is 1 in less than twice its width. Find the dimensions of the poster.

  Which of the following is not an ethical concern

Which of the following is not an ethical concern for the statistical researcher?

  Reconnaissance plane

A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd