Set up the integral that will give the volume of the solid generated when the region bounded by the curve y = -x² + 4 and y = x – 2 is revolved about x = 2. a. using vertical strips b. using horizontal strips

Q: 3 mm 5 mm 9 mm

A: Solution

Q: |(xsin(3x)) dx XS

A:

Q: 2 cm 2 cm 1 cm 6 cm 3 cm 3+1=4 cm 7 cm

A: Given:

Q: Find the area of the shaded region. -h ( x ) = sqrt ( x + 14) -q (y)= sqrt ( y ) -16 -14 -12 -10 -8…

A: Ans= 40 squared units  For detail...go through the solution...I have done solution in detail

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A:

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Q: 8 ft 2 ft 8.25 ft

A: We know that,  Area of triangle= 1/2 × Base × Height

Q: Rectangle ABCD translate and then reflex's to A'B'C'D'. Do they have the same area?

A: Given: Rectangle ABCD translate and then reflex's to A'B'C'D'

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A:

Q: Consider the following equations. f(x) = x5 + 3 %3D g(x) x + 3 %3D

A: The region is bounded by the graphs,  fx=x5+3 and gx=x+3

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A:

Q: 18. Find the area of the prism below: 4.0 cm 45 cm 72 cm 8.1 on et ti i 9.0cm 多 多

A: The area of given prism is given as follows:

Q: Find the area of the region specified in polar coordinates. the region enclosed by the curve r = 8…

A:

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A:

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Q: Sketch the region enclosed by the given curves. y = 13-x², y=x²-5 -6 O -4 -2 y 10 Find the area of…

A: Answer

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A: Given data,μ=9.9σ=1.7

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.