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a particle moves along the parabola y=x^2 in the first quad. in such a way that its x-corrdinate ( in meters) increasing at a constant rate of 10m/sec.
How Fast in the angle of inclination of the line joining the particle to the origin changing when x=3?
What situations would make rectangular, cylindrical or spherical integration best? Is integration over other coordinate systems possible or ever ideal?
Compute the flux of the vector field F= through the surface S given by y=x^2+z^2, 1/4
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
two minor league baseball players got a total of 366 hits washington had 4 more hits than sanchez. find the number of hits for each player.
The trigonometric expression to estimate the value
Write equations for the vertical and the horizontal lines passing through the point (-7,5) in (x,y)-coordinates.
The person is a constant 93 feet away from the balloon's starting point and the angle that the rope makes with the ground increases at a rate of 0.01 radians/minute. How fast is the balloon rising when the angle is 0.6 radians?
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis.
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