The curve's equation is given by x4 + y4 = x2 + y2 (a) Find the highest and lowest points on the curve. (b) Find the area enclosed by the curve.

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Q: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

A: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

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A:

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Q: How do you find area under the curve?

A: y=12cosh(2x)

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A: Area of Sphere = 4πr2  circumference of sphere= 2πr  r = radius of sphere

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

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Q: Find the area between the curve y = x2 + 9x + 14 and the x-axis from x = −2 to x = 0. (Give an exact…

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Q: The area bounded by the parabola y = 4x2, y-axis and the lines y = 1, y = 4 is

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Q: The area bounded by the curve y2=12x and the line x=3 is revolved about the line x=3. What is the…

A: The correct answer is option C. Given  y2=12x and equation of line x=3 The point at which the line…

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

A:

Q: Two curves having an equation of x = 2vy and y = 2Vx intersect each other. Compute the area between…

A: Solution:-

Q: Find the area between the curve y = sin x and the line segment joining the points (0, 0) and (5π/6,…

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Q: Plot the image of point B under a dilation about the origin (0,0) with a scale factor of 4

A: Let's Solve,

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A: we have to find area

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: The equation of the parabola is given by y = 4x2.Differentiate y = 4x2 with respect to x as follows.

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A: A detailed solution is given below.

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

A:

Q: the

A: Given curve y^=x and y=√x  Line x-4=0   Find area ?

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Q: Find the approximate surface area of a sphere of radius 5.02 cm. (SOLVE BY USING DIFFERENTIAL…

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A:

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

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Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

Q: The area of the region enclosed by the parabola y =2 -X and the line y = - xis equal to:

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Q: X= sin 2tS In %3D Find dw 2- Cost

A:

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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A: Given

Q: The area of the region bounded by x = /9- y2, the y-axi first quadrant is:

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Q: Find the area of a triangle bounded by the yy-axis, the line f(x)=10−2xf(x)=10−2x, and the line…

A: Now, from the graph we have the points of intersection of the lines

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. Show solution and…

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Q: Find area bounded by the circle x² + y² = 25, the y-axis and the parabola y = 6x - x².

A: Circle: x2+y2=25 Parabola: y=6x-x2 To Find: Area bounded by the circle, the y axis and the parabola…

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.