Find the area of the region that lies inside the first curve and outside the second curve. 7- 18cos(20), r- 3

Q: Find the area of the region lying to the right of x = y? -4 and to the left of x = 2-y².

A: Use given curves x=y²-4  => y²=x+4 is a parabola  with axis of symmetry is (-4,0) And x=2-y²…

Q: a) Sketch the region enclosed by the curves y = -10 + x, y = -x? - 8. b) Find the area of the region…

A: The given functions are y=-10+x2 and y=-x2-8

Q: Find the area of the region enclosed by the positive x-axis and spiral r = 4u/3, 0<= u <=2pai.…

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Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: 4 -2 2. a

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Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

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Q: Find the area of the region enclosed by the curves. x2 y = x? - 4| and y = + 4 The area is

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Q: Find the area of the region enclosed by the graphs of: y? = 9 – x and x = 5. 32 A) 3 24 B) 3 16 C) 3…

A: The region is enclosed by the graphs ofy2=9-x and x=5

Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: y y= 4x y3= 2 y345– x

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Q: 3. Find the area of the region enclosed by y =-r² + 6, y = I, y = 5x, and r>0.

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Q: NOTE: DRAW THE FIGURE Determine the area of the region bounded by: 2) y = zVF+1, y=ez=-3 and the…

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Q: Sketch the region enclosed by y=4x and y=5x^2. Find the area of that region

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Q: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the area of the region enclosed by the curves x = 16 - y and r = y2 – 16? | O a-80/3 Ob. No…

A: According to curves given in  problem Graphing them Here, Let f(y)=16-y2 and g(y)=y2-16 x varies…

Q: Compute the area of the region enclosed by the lines y = a and y = r and the curve a = 10 – 2y. The…

A: The detailed solution is given below Thank you

Q: 12. Find the area of the region enclosed by x = 8 – y² and y = 2 – x. Draw the region.

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Q: Find the area of the region bounded by x = y? – 4 and y -5 10 15 6,

A: Area is 26.167

Q: 3x and y 5x2. Find the area of the region. Sketch the region enclosed by y

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Q: Find the area of the region enclosed by the curves y2 - 4x = 4 and x -y= 2. The area of the region…

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Q: ketch the region enclosed by the straight line y = 2x and the curve y = x2 − 8 and find the area of…

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Q: 4. Find the area of the region bounded by y=6-2-2² and the z-axis. 125 (a) A= square units 6 (b) A =…

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Q: Find the area of the region described. The region bounded by y=4,096 /x and y 64x The area of the…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r…

A: In the question it is asked to calculate the region bounded inside of curve r=7-7sin(θ) and outside…

Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: Find the area of the region enclosed by the curves x+y 0 and x+6y 80. The area of the region…

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Q: Find the area of the region enclosed by the curves. y = |x? - 36| and y = d%3D 9 + 36 The area is…

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Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

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Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

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Q: Find the area of the region. 5. y D y 5- 4 3 10 15 20 25 -1F

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Q: Compute the area of the region enclosed by the lines y = r and r and the curve r = 10 – 2y y = The…

A: Area of the shaded region between x =f(y) and x= g(y) :     If f(y) and g(y) are two continuous…

Q: Identify the radius and height. The region bounded by y =x and the x-axis, -3 <x<2, revolved about x…

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Q: Find the area of the region enclosed by the curves x + y² = 0 and x + 4y² = 12. The area of the…

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Q: Find the area of the region. y= 7e-x/4

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Q: Calculate the area of the region limited by the equation r = 2+2cos φ

A: Given:  r = 2+2cos φ.

Q: the region enclosed by y + 4x = 0 and a = 5y – y?. Find the area of the region. Do not use als in…

A: Answer is 3087/8 unit².

Q: 3x 5x Sketch the region enclosed by y = e", y = e", and a = 1. Find the area of the region.

A: in the graph Blueline indicates y=e5x Redline indicates y=e3x Greenline indicates x=1

Q: xydA, where R is the region shown below. t(1,3) (5, 3) R (2, 1) (4, 1)

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Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: Find the area of the shaded region. y 3- 2 x = y -5 ソ=1 -6 -4 2 ソ=-1 -3 Need Help? Watch It Submit…

A: Solved below

Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: Find the area of the region that lies inside the first curve and outside the second curve.…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r=…

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Q: 5x and y 3x2. Find the area of the region. Sketch the region enclosed by y

A: our objective is to find the area and draw the region.

Q: 4. Find the area of the region that is inside of the cardioid r= 4+4sin0 and outside the circle r=…

A: Cardioid is the curve traced out by a point on the circumference of a circle rolling around another…

Q: The area of the shaded region: y-24 -1 (1.2) 2 3 5n

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Q: 2x and y 4x?. Sketch the region enclosed by y Find the area of the region.

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.