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Calculus I need to understand the concept to this question please show notes and tips show then I can understand how you came up with the solution.

Estimate the area of the ellipse given by the equation 4x^2+y^2=49 as follows: The area of the ellipse is 4 times the area of the part of the ellipse in the first quadrant (x and y positive)...

Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=(4/11)x−(12/11), below by the x-axis, on the left by the line x=3, and on the right by the line x=14.   The...

We could estimate the area under the graph of y=1/x for x between 1 and 27 by dividing the interval [1,27] into 26 equal subintervals and using the left endpoint of each subinterval as sample point...

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price that producers are willing to accept for x units. Find a) the equilibrium point,...

A particle is released. Its speed t seconds after release is given by v(t)=0.3t^2+8t. How far does the particle travel during the first 4 seconds? How far does the particle travel during...

Two trains leave a station at 12:00 noon. One travels north on a track at 50 mph. The second travels east on a track at 70 miles per hour. At 1:00 PM the northbound train stops for one-half hour at...

It is estimated that the annual advertising revenue received by a certain newspaper will be R(x)=0.5x^2+4x+143 thousand dollars when its circulation is x thousand. The circulation...