y² = x(4 - x)² y 1 - 1 1 2 3/45 6

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas y 2 and - y = c² – a? is 90.

A:

Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

A:

Q: x² + a? = 1

A:

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = 2²-² is…

A:

Q: 2. The area between the graphs of a(t) = t2 + 5 and b(t) = 2t3 + 3t? – 4t + 5.

A: According to the guideline we should have been able to solve only one question at a time #2

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A:

Q: Find the area between the graph of y and the r-axis for a E [0, b] where b is a (2x2 + 1)2 positive…

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x? is…

A: We have to calculate the value of c for c>0 such that area enclosed by the parabolas.

Q: 4. Find the area between the parabolas y2 = 4ax and x² = 4ay.

A:

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A:

Q: Find the area of the region included between the parabolas 4(n + 1)(r +n+ 1), and v² = 4(p² + 1)(p²…

A:

Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x2 and x-axis over the interval [–2, 4]…

A: Find the area between the curves

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A:

Q: nd the area of the region bounded by the curves, x = -6, x = 6 ex – axis and the parabola x² – 4y –…

A: We are asked to find the area of the region.

Q: 7. Find the area between the parabolas y² = 4 az and r = 4 ay Ang 16

A: Area between curves

Q: 4- Find the area of the region bounded by the curves y - 3x = 4 and 3r – 2y = 11. a) b) e) d) e)

A: The equation of the curves are : C1 :  y2-3x = 4  ⇒ x = y2-43 C2 : 3x-2y = 11  ⇒ x = 2y+113 To…

Q: 9 Determine the area to the right of g (y) = y² +4y-5 and to the left of the y-axis.

A:

Q: Q2/ Find the total area between the curve y = -x² – 2x and the X-axis.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: - Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

A:

Q: Find the area bounded by the graph y = 30x − 3x^2 and the x-axis (18A) 2,000 (18B) 250 (18C) 500…

A: Area bounded by curve f(x) A=integration a to b f(x) dx

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 2x,…

A: Given curve: y=2x, for 35≤x≤99

Q: (7) Find the area of the surface given by √x² + y² ≤ ≤√4-x² - y²

A:

Q: Find the values of c such that the area of the region bounded by the parabolas y = 4x2 - c2 and y =…

A:

Q: Find the area of the region included between the parabolas y² = 4(p+1)(x + p + 1), and y² = 4(p² +…

A: As per the question we are given two parabolas defined as : P1  :  y2 = 4(p+1)(x+p+1) P2  :  y2 =…

Q: 3. Determine the area to the right of g(y) = y2 + 4y – 5 and to the left of the y- axis.

A:

Q: Q6) Find the area of the region R enclosed by the curves y = x² - 2x and the х — ахis.

A: Given that y=x2-2x

Q: The shaded region between the graphs of y = -2x + 20 and y = 3z- 15 is displayed below in 25 H

A:

Q: Q1: Find the area of the region between the x-axis and the graph of y = x' - 3x² +2x, where 0<x<2

A: Draw the graph and integrate with proper limits to get the area under the curve.

Q: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and…

A:

Q: Find the area between a large loop and the enclosed small loop of the curve r=4+8cos(3theta)

A:

Q: Find the area of the region between the parabola y = 4.x; and the straight 4x – 3y = 4

A: Given curve equation y2=4x,4x-3y=4

Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 3].

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c° and y = c- -2² is…

A:

Q: Find the area between the parabolas y^2=4ax and x^2=4ay Include figure

A:

Q: Calculate the surface area of revolution of f(x) = 3√(x) + 2 about the y-axis in [2,8]. Graph.

A: Given data:   The expression for the given function is: f(x)=x1/3+2.   The expression for the given…

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 – c2 and y c2 – x? is…

A: Given:-   c &gt; 0 such that the area of the region enclosed by the parabolas C = y = x2 - c2 and y…

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A: It is given that radius of circle is 50 feet.  The equation of the region is x2+y2=502; x≥0 and y≥0.…

Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

A:

Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: 71 D The region D above lies between the two red lines 3 and the red parabola y = x². It can be…

A: Mention the functions and the x and y coordinates on the given graph.

Q: The region in the first quadrant bounded above by the parabola y = x ^ 2 below by the x -axis, and…

A: Follow the steps.

Q: Q1: Find the area of the region between the x-axis and the graph of y =x' - 3x +2x, where 0sx<2

A:

Q: Find the y²=x,x²-2x +3y=2 area between the two curves..

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c - x² is…

A: Solve for the area

Q: The area under the curve y = 8x bounded by the lines a = 4 and a = 9 above the a – axis is_ 648.00…

A:

Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and…

A:

Q: Find c > 0 such that the area of the region enclosed by - c' and y = c² – the parabolas y = x² x2 is…

A: Given curves are