As viewed from above, a swimming pool has the shape of the ellipse given by x2 1 %3| 1600 400 The cross sections perpendicular to the ground and parallel to the y-axis are squares. Find the total volume of the pool. (Assume the units of length and area are feet and square feet respectively. Do not put units in your answer.)

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Follow the procedure given below.

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A: Given that, The equation of the ellipse  x2/ a2 + y2/ b2 = 1 , where a > 0 and b > 0. Solve…

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A: For the solution follow the next steps.

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A: Solve for the

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A:

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A: To determine the volume of  that rotated about the x-axis. Given, The given curve is ellipse.…

Q: he area of an ellipse with axes of length 2a and 2b is nab. The percent change in the area when a…

A: We have to find percent change in the area after increasing major axis and minor axis.

Q: Given an ellipse whose semi-major axis is 6 cm and semi-minor axis is 3 cm. What is the volume…

A: Explained below

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A:

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A:

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A: The casting has diameter 8  inches. Hence 2x=8, we have, x=4 inches Also depth = 1 inch, hence, y=1

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A: Explained below

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A: Prabola

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A: For the calculation of area of ellipse,

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A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: 26. Find the area of the largest rectangle that can be inscribed in the ellipse x²/a² + y°/b² = 1.

A: Topic- application of derivatives to find maximum area

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A: we have to find the following

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A: It is given that, the area of the ellipse with axes length 2a and 2b is

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A:

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A: Solution: The objective is to find the area of the ellipse given by x264+y24=1

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A:

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A: Converting the equation to standard form

Q: The area of the ellipse+: 25² = 1 is 30π. What is the value of a?

A: solution:-we know that the formula of area for an elipsex2a2+y2b2=1Area=πab

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Here we use the concept of conic section

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

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A:

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A:

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A:

Q: As viewed from above, a swimming pool has the shape of the ellipse = 1, where x and y are in feet.…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Given data: The diameter of the reflector is 4 inches and a depth of 1 inch. it means x=2 and y=1.…

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A:

Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 O 6 4 O 3

A: The given parabola is: y2+3x-12=0

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Q: Find the area enclosed by the ellipse (x2/a2) + (y2/b2) = 1

A: Consider the given equation as x2a2+y2b2=1

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A:

Q: Find the area enclosed by the ellipse x2  / a 2    +   y2   /b 2    =1

A: Given ellipse is The ellipse meet x-axis at points (-a,0) and (a,0) and y-axis at points (0,-b) and…

Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

A: