For the a.. The MArea operigh region bounded by a parabola with vertex at (-1,6) and the green line, solve for: d. Volume when revolved & about the green line MOI and radius of gyration about the x-axis using horizontal strips. e. MOI and radius of gyration about the y-axis using vertical strips. f. MOI and radius of gyration about the z-axis to Parameter =234° (-1,6) (-2.4, 2.5) y=-a(x-h)² + k (-2.4, 2.5)) (1,n)

Q: 2. Find the area of the plane figure bounded by the curves. Plot the graphs of the given functions,…

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Q: nctions and the y-axis. (Draw the functions and shade the area to be determined.)

A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: The area of the triangle formed by the tangent and the normal to the parabola y = 4ax both drawn at…

A: Given  the parabola y² = 4ax both drawn at the same end of the latus rectum and the axis of the…

Q: 4. Let D be the region in the plane in between the two circles x² + y² = 1 and x² + y² = 4, and to…

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Q: O 3. Which is the standard form of the parabola y = -(x +1) + 5? O v = - + 4.5 O v =-+ +5.5 O v =- -…

A: Standard equation of parabola

Q: 3. Find the subtangents and subnormals in the parabolas, y²=4 ax, and = 4 ay. Ans. Subtangents, 2 z,…

A: Given: A parabolas y2=4ax , x2=4ay. To Find : Subtangent and subnormals in the parabolas:

Q: 5. Sketch the circles x + y = why the circles must be internally tangent. (Hint: Find the two radii…

A: Given: i. x2+y2=225ii. x-62+y-82=25 To Find: Sketch the given circles and explain why the circles…

Q: The area of the region enclosed by the parabola y = 2 - x? and the line y = -x is :

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Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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Q: Use Green's theorem to find the area between ellipse 16 = 1 and circle x2 + y2 = 25.

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Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: 11. 12. 13. 14. 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, and 22 Determine whether the series is…

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Q: Determine the area of the triangle formed by the following lines (can assume a > 0).

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: east and y-x?+2(bluelis hamet the cut poi of the parabola its progection to its. axis O inter sects…

A: Answer