Q50.a) Find the area of the region enclosed between the curves y? = x -1 and y= x-3? (Sketch the region) b) Find lim

Q: 4. If one uses the horizontal strip/element as a representative area, then the infinitesimal change…

A: You have posted the multiple question. I am answering the first one. Please post the question again…

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: 3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to…

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Q: The area enclosed by the curve y² = x(1-x) is given by .

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Q: Use the integral definition of Inx (interpreted as area) to explain why it is reasonable that lim e…

A: Explanation of the solution is given below...

Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A: The given curves are y=sec2xtan2x, x=0, x=0.5, y=0 To find the area of the region bounded by the…

Q: (b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

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Q: 1. Find the area enclosed between the curves y=x and y = x .

A: given curves are y=x2 and y=x find out the area

Q: What is the area of the region bounded by y = x², the x-axis, and the lines a = 2 and æ = 5, using…

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Q: 2/ determine the area of the region enclosed between the curves x= and y=x-1? ans/ 18 3/ Find the…

A: Given (2) The given curves are x=12y2-3 and =x-1. (3) The given curves are y=x3 and y=x.

Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Consider the provided information, Now, draw the figure of the provided information.

Q: 1. Sketch the region enclosed by the given curves and find its area. y = x?, y = x*

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

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Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: Show that the area of the region in the first quadrant en-closed by the curve y = (1/a) cosh ax, the…

A: First of all, consider the graph for curve y, the coordinate axes and the vertical line x = b.The…

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = In…

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Q: Find the area bounded by the curve of y = x' + 3 and the x-axis from x = -3 to x = 1 Approximate are…

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Q: In circle P with MZNPQ = 82 and NP = 3 units find area of sector NPQ. Round to the nearest…

A: m<NPQ= 82° R = 3

Q: Describe the area represented by the limits.

A: The area given by the limit is:

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: y² = x and y² = 2 − x

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Q: Find the area under the curve of the parabola y = x? - 2x + 2, above the x-axis and between x=0 and…

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Q: Using the fundamental theorem, find the area under the curve y = 4x3 −2x+5 and above x-axis on the…

A: Fundamental theorem: To find the area under the curve y=f(x) between x = a and x = b, simply find an…

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 1. Find the area of the regions shaded by the following curves: r = 2cos0 and r = 2sine

A: Formula: The area of region between the origin and the curve r = f(θ) α ≤ θ ≤ β is given by A =…

Q: 2/ determine the area of the region enclosed between the curves x- and y=x-1? ans/ 18

A: Given problem is :

Q: given interval. And show your graphs?

A: Given that: The equation of the function is y = - 4x + 6 , [ 0, 1].

Q: ind the area between the curves.   x = -2, x = 1, y = 2 x 2 + 4, y = 0

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: x* = 9-y and x*= By By

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Q: 1) Sketch the region enclosed by the given curves and find its area. 1 y = x for x > 0 ||

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Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = ln…

A: Given  y=ln x11y=11(lnx) We need to find out the tangent line. First we find out the slope To find…

Q: 12. Calculate the area of the segment cut from the curve y = x (3-x) by the line y = x. A. 5/3 sq.…

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Q: In circle P with MZNPQ = 82 and NP = 3 units find area of sector NPQ. Round to the nearest…

A: Circle with center P And radius NP = 3 units  Measure of central angle subtended by arc NQ = 82° To…

Q: 7. Find the area bounded by the curve y = x e¯** , the x-axis and the maximum ordinate.

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Q: Determine which graph corresponds to the area enclosed by the curves y = 5x and y = a2+ 3. 8- 4-

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Q: 1 6. Find the number a such that the line x = a bisects the area under the curve y =

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Q: at is distance from the centroidal x-axis of 54mm by 126mm to the centroidal x-axis of th

A: Given:

Q: Approximate the area between the curve J(x)=-x²+18x and the X axis on the interval 0, 18 |using 6,…

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Q: Approximate the area under the curve of y = x - 2x + 3 over the interval x=-1 to x = 3 using 4 right…

A: Find out the area under the curve using 4 right endpoint rectangles.

Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

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Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area…

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat…

Q: ind the area between the two curves: y = x2 and y = 4x + 5 -symbolic formatting help

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Q: Find the area enclosed by the graphs of z+y = 4, z-- y = 0, y+3r = 4. 1. Area = sq. units 7 sq.…

A: Given, The equations  x+y = 4 ,  x-y =0  and   y+3x = 4 We have to find the area enclosed by the…

Q: 18. Find the area of the region enclosed by the curve y = (1- x)²; 0<x< 1. (in QI)

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Find the area of the regions shaded by the following curves: r = 2cos0 and r 2sine %3|

A: given polar equations are r=2cosθr=2sinθ