2. Find the area of the smaller loop of the curve r = = 3( 1- 2cose)

Q: If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the…

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Q: Calculate the area of ​​the space limited by the curve y = 4x - x^2 and the axis OX

A: Given: The curve y = 4x -x2  To find: The area of the space limited by the curve y = 4x-x2  and the…

Q: Find the areas of the regions enclosed by the following curves. = 2sin 20

A: To find the area of the region enclosed by the following curve.r=2 sin2θ

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A:

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Q: Find the area of the loop bounded by the curve a^3y^2 = x^2 (a-x)^3. Sketch this and label the…

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Q: For a χ2-curve with 27 degrees of freedom, find the χ2-value having area 0.01 to its right.

A: It is given that, Level of significance=0.01 Degree of freedom =27 The χ2 critical value can be…

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Q: What is the area of the triangle bounded by the x and y axes and the tangent to the curve xy^2=4 at…

A: xy2=4 Differentiating with respect to x, we get…

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: Sketch the region enclosed by the given curves. y- Vx- 3, x - y - 3

A: To find the area of enclosed region of the given curves, first we find the intersecting points of…

Q: Find the area of the inner loop of the curve r= 1-2cos θ

A: For the inner loop of the curve 1-2cos θ=0⇒2cos θ=1⇒cos θ=12⇒θ=cos-112⇒θ=π3,5π3

Q: For a χ2-curve with 22 degrees of freedom, find the χ2-value that has area a. 0.01 to its right. b.…

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Q: Find the area oF the loop OF the curve. given

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: 2. Find the length of curve of shaded region in the shape. y = x2 2.

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Q: :draw and determine the area enclosed between the curve y = 7-2x and + 4.

A: we can see easily from graph

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A: Given that I=∫c3y-sin x dx+2x2 dy                                   ……(1)   Boundary is given as…

Q: find the area of the loop of the curve y^2 = x^3 (1-x)^6

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Q: Find the area of the region bounded by one loop of the curve y"(1 - у?)

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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: Find to) - Isina the enclose by the Curve area and the line <x ハ

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Q: For a χ2-curve with 19 degrees of freedom, find the χ2-value that has area a. 0.025 to its right. b.…

A: a) Degrees of freedom is 19 The chi-square value that has area 0.025 to its right is given below:…

Q: Find the aea of the region bounded by 2. given Curves

A: We have to find the area bounded by the given curves. This problem can be solved by using…

Q: Consider an q-curve with parameters 3 and 14. a. Determine q0.05. b. Find the q-value with area 0.01…

A: The provided information are: Number of parameters (k) = 3 Degree of freedom (df) = 14

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: cally integra then in any ng curves is

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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: Sketch the region cnclosed by the given curves

A: y=x-2y=x-2

Q: y = x³ + 2x? – 8x, y = x³ + 5x? -

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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: 4) Find the families of lines of curvature of the surface : =+ y² .

A: Given: z=x2+y2

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 areas of the regions enclosed by the curves x + 4y2 = 4 and x + y4 = 1, for x ≥ 0

A: Solution:-  we have to find the are of the region bounded by the region bounded by the curve  a)…

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r= 98,0 < 8<…

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Q: Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr=5θ, 0 ≤ θ ≤…

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Q: Determine the osculating circle of the helix defined by y = x^3 − 3x + 1 at x = 1.

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Q: Find the length of arc from (2,1) to (4,4) of the curve x = 2√y

A: Let us consider curve x=g(y). The arc length of graph of g(y) from point (a, f(a)) and b,f(b) Arc…

Q: Sketch the spiral r = θ for 0 ≤ θ ≤ 2π and find the area bounded by the curve and the first…

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Q: Find the area of the region under the given curve from 1 to 2. у з х3 + 3x

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Q: Find the area of the = -, y=3-k| region that is restricted between is curves.

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Q: Find the area inside the larger loop and outside the smaller loop of the curve + sin(0) 2

A: To find the area inside the larger loop and outside the smaller loop of the below curve. r=12+sinθ

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Q: Find the arc leng th of the curve given by Ost s2

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Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

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Q: 2. Circles with fixed radius r and tangent to the y-axis.

A: Solution is given below:

Q: Find the area of the region Cut from the Ist auadrant /2 r= 4(2-Sin 20) by the curve

A: Solve for the area

Q: Sketch the region enclosed by the given curves. y = 15 – x2, y = x² – 3

A: