Make two separate plots of the function z - 2 sin (1.5x) in the domain -3sxs3 and -3Sys3. 3-D surface plot and 3-D mesh plot

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

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Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

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Q: Find the area of the region bounded by the line y = 2x − 5 and the parabola y = x2 - 4x

A: The objective of the question is determine the area between given line and parabola.

Q: Find the area within the curves y= 25- x', 256x=3y², and 16y = 9x².

A: as per the guideline i can solve only first question

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: The area in the third quadrant bounded by the curve x = y^2 + 2y is

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Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Find the area of regions enclosed by curves y x3 – x + 3 and y = x2 + 5x + 3.

A: Given equations of the curve are:                              y=x3-x+3& y = x2+5x+3

Q: Find the area whose region is bounded only by the graphs y + 1 = - x^2 + 7, and y - 3 = ( x - 2 )^2…

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Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8.

A: Given that: y=x2+3           .............(1)y=4x+8           .................(2)

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: FIND THE AREA OF THE REGION IN THE FIRST QUADRANT THAT IS BOUNDED ABOVE BY y=sqrt(x) AND BELOW BY…

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Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

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Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

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Q: Find the area of the region bounded by the hyperbola 9x² – 4y2 = 36 and the line x = 3.

A: Given that the  Hyperbola 9x^2-4y^2=36 Line x=3  To find the area of the region

Q: Find the area of the region under the given curve from 1 to 6. x2 + 6 y = 7x — х2

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Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y =…

A: Given,

Q: Find the total area of the shaded region (area constrained by curves) y = -2r4 -2

A: The area of the shaded region is given by  ∫abf(x)-g(x)dx Where a and b are limits of x f(x) and…

Q: The area of region bounded by the parab y = 2x – 4 is

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

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Q: Find the area of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

Q: Find the area of the region bounded by the parabola y = x², the tangent line to this parabola at (1,…

A: Given data: The equation of the parabola is y=x2. The given point is (a, b)=(1, 1). The slope of the…

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. x2…

A: Given curve is y=x242≤x≤4   Axis of rotation is y axis

Q: Find the area of the region bounded by the parabola y^2=x+3 and the line x - y = -1

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Q: find the centroid of the thin plate bounded by thegraphs of the given functions. Use Equations (6)…

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Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: What is the area of ​​the region between the parabola y=x^2-1 and the line y+2x=2?

A: The solution is given below in the next step:

Q: Find the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the…

A: the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the curve y…

Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: Find the area bounded by the given curves. v = 6x² – 16x – 7 and y = 3x2 + 2x – 22 | square units

A: Given curves are: y=6x2-16x-7y=3x2+2x-22

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

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Q: The area in the third quadrant bounded by the curve x = y^2+ 2y is

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Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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Q: A\ Calculate the area of the segment cut from the curve y =2x2 by the line y = x+1 with x2 0.

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Q: Find the area in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

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

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Q: Find the area of the region bounded by the two curves. y = x2 + 3 y = 7x + 3

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Q: Make two separate plots of the function E- 2sin(1.5x) in the domain -3Sx53 and -3 sys3. 3-D surface…

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Q: Find the area of the region lying between the æ- In(9x) – 1 axis and the curve y = to the right x2…

A: Solving by area formula

Q: Find the area enclosed between the line y 1 and the curve y = x2 – 4x + 4.

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Q: Find the area of the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

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 of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the…

A: The diagrammatic representation of the area is,

Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: Y=Ğ jfor exS3; about The X-axi's

A: The formula for the surface area generated by rotating the curve  A=2π∫abf(x)a+(f'(x))2dxHere…

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: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.