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A river is 21 metres wide and has a current flowing at 23 m/s parallel to its banks. A man, whose top speed is 37 m/s in still water, crosses the river in the shortest time possible.
How far downstream from his starting point does he land, to the nearest metre?
Forces of 4 N and 6 N act on an object. What is the minimum value for the sum of these two forces?
The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is decreasing at a rate of 2 inches per second. At what rate is the volume of the cone changing when the radius is 40 inches and the height is 20 inc..
the engine of a sports car rotates at 5000 revolutions per minute. calculate the angular speed of the engine in radians persecond, given 2TT radians = 1 revolution
What are the two dollar amounts, equidistant from the mean of $30, such that 90% of all customer purchases are between these values?
There is considerable movement up and down the economic ladder. Relative income positions often change over time." This statement isa. false; people tend to stay in the same quintile that their parents were inb. false; people tend to stay in the same..
discuss how the definitions of directional derivative from calculus and dot product also called the inner product can
What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
A rectangular tank, 4m long, 3m wide and 6m tall, is filled with water up to a depth of 2m. A solid spherical object of radius 1.2m is placed into the tank. Determine the new water level, correct to 3 significant figures.
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
For the following differential equation, provide the ode45() command used to solve it in MATLAB. Also, provide the function that stores this differential equation so that ode45 can invoke it.
Three machines turn out all the products in a factory, with the first machine producing25%of the products, the second machine10%, and the third machine65%. The first machine produces defective products3%of the time, the second machine2%of the time an..
Consider the following points. A(8, -2) , B(4, -2) a. Find the distance of (A, B) between A and B. d(A, B ) = b. Find the midpoint of the segment AB. (x, y) =
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