Find the area of the region enclosed by the following functions.

Q: A poster is 10 in. longer than it is wide. Find a function that models its area, A, in terms of its…

A: Let the length be l inch and the width be w inch.The length of the poster is 10 inches longer than…

Q: write the area of the circle as a function of the raduis r

A: The objective of this question is to express the area of a circle as a function of its radius.

Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: Find the area between the curve y=x3-6x2+8x and the x-axis. Graph it

A:

Q: Given the function, find the area between the graph of the function, the x axis over the interval…

A: Just integrate this function from 1 to 4.

Q: f(x) = √√√x-7 g(x) = x - 7 Sketch the region bounded by the graphs of the functions. O- y 2 1 V 2 4…

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Q: Sketch the region bounded by the graphs of the functions. 4 y = - v= 21 -x, * = 1, x = 4 5

A: Solution is given below:

Q: Find the area of the region bounded by the following pairs of curves. It is necessary to draw the…

A: Consider the given curves y=x3-6x2+8x                             …1y=x2-4x…

Q: Find the area of the region bounded by the following pairs of curves. It is necessary to draw the…

A:

Q: An open-top box is created by cutting out corners from a piece of cardboard as pictured below. Find…

A: An open-top box is created by cutting out corners from a piece of cardboard as pictured below. Find…

Q: Find the area of the region between y = x and y = x*. (Hint: Graph the functions to see where they…

A: Plot

Q: Find the area of the region bounded below by the graph of f and above by the x-axis from  x = 0  to…

A: Given,             fx=14x-x         Area=∫0160-fx dx                =∫016 0-14x+xdx…

Q: Determine the area of the shaded region in the following figure. Ay y = 6x ý=x² -7

A: We have to find the area of the shaded region in the figure

Q: y = x² – 4x; y = 0; x=1; x=3

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Q: Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits…

A: We need to solve limit problem.

Q: Find a formula for the described function and state its domain Express the surface area of a cube as…

A: Consider the provided expression, Let V be the volume of the cube with length side a. V=a3 So, the…