Question

Asked Nov 13, 2019

10 views

A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 4 miles west of that point. The visitor is planning to go from the tent to the rock formation. Suppose the visitor runs at a rate of 6 mph and swims at a rate of 3 mph. How far should the visitor run to minimize the time it takes to reach the rock formation?

Step 1

Given A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 4 miles west of that point.

Step 2

Let,

x be the distance covered by running and y be the distance covered by swimming, so the figure will be

Step 3

By using the Pythagoras...

Tagged in

Q: Identify which of the following statements are true. f(x) 7 7 (b) f'(x) True False f(x) 0 for x 7 (...

A: Given informationFunction f(x) with respect to x, and peak value of function at point 7 in given fun...

Q: Please answer for the rate at which the height of the water is increasing at the instant that the he...

A: Let x = one-half the width of the triangular cross section.h = height of the water.V = volume of the...

Q: Please assist me in finding the minimum and maximum values.

A: Definition of absolute minimum : the smallest value that a mathematical function can have over its e...

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0,-6),...

A: Given, Foci: (0, -6), (0,6); Vertices:(0, -8), (0,8)Since, the foci and vertices have the ...

Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored f...

A: Given function isThe given function is a rational expression and the derivative can be obtained usin...

Q: f(x) = 4x^2-12x+7 how is this function concave wherever it is defined?

A: Given:

Q: how do i estimate and list the value of x where f(x) has a horizontal tangent

A: Recall the following facts.

Q: Please assist me in finding the absolute maximum and minimum values.

A: Click to see the answer

Q: 7. Consider the cardioid r = 2-2 sin0 and the circle r 2 as shown on the right Set up, but do NOT ev...

A: Consider the cardioid r=2-2 sin θ and the circle r=2 as shownSet up, but do not evaluate, the integr...