find ta Limits ofx i integual tahan 2*+34 dn dy as a) ネー15 5 h a) None of these

Q: Express the limit as a definite integral. n lim E c Pl→0k =1 Ax, where P is a patition of [8,17] The…

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Q: Find the area between the two Curv G. ye- -X, x² = G - Sy

A: Given that  y^2=-x,x^2=6-5y To find the area between the curves

Q: 6. Sketch the region in the zry-plane that is bounded between the graphs of y= In+4 and y = +2x.…

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Q: 65. y = 3x - x3, x = 0, y = 2 are bounded in the first quadrant. Determine its area. % sq. units %3!

A: Given: when y=2, we have 2=3x-x3⇒x=1. Now, dydx=3-3x2. So,            S=2π∫01 1+3-3x22dx  =2π∫01…

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

Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

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Q: Find interior points of A, int (A) = %3D ON- {2} O A ON

A: To find The interior points of A

Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves 2 y =…

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Q: Let R be the region bounded by y 8 sin 2 point (? 8)

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

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Q: Find the area betweeen y=x2 and y= -(x-1)2+1 on the interval [0,2]

A: Given: Equations of curves are y=x2 y= -(x-1)2+1 to find the area on the interval [0, 2] The area…

Q: Sketch the region in the xy-plane defined by the inequalities x - 5y2 > 0, 2 – x – 9\y| > 0 and find…

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Q: (a) curves y=, y =-x², lines x=1, x=2

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Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: Find the area bounded by the FF. Curved and lines a.) An arch of y= (1/4)sin(x/4)

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Q: 6. Evaluate the improper integral 3dx. Use limits as needed. Give exact 2 answer. . 3

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Q: 4. Sketch the region enclosed by y = 2x – x? and y = 0. Use calculus to find the exact area of this…

A: The solution is given below:

Q: Find he minimum numbcr of terms to approximale 00 to wilhin 0.1. Use alkernahng scries eshmahion…

A: We have to use alternate series error estimation formula  to find n  Let ∑n=1∞an  be a series…

Q: Find the area in which region lies in first quadrant bounded by v = Vũ, u – axis and line v = u – n.…

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Q: Sketch the region defined by the inequalities 0<= r<=2 sec u and -pai/4 <= u<= pai/4

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Q: Find the area bounded by the curve ya O 16 square units O 10 square units 4 square units O 8 square…

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Q: 5 Compute the Surface area f obtained by revoluing the line y=x around the y-aris. a cone whichü

A: To find the surface area of cone which is obtained by revolving y=x revolved around y-axis.

Q: Calculate the area of the intersection of the regions limited by curves r = 1 and r = 2(1 − cosθ).

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Q: The area bounded by the curve y = 10x and the lines z = 7,x = 11 and a – axis is O 850 square units…

A: Given y=10x,x=7,x=11 and x-axis  Area= integral a to b f(x) dx  Let y=f(x)=10x then find area…

Q: Find the area bound by the curves f(z) =- 3a- and g (z) = 3 %3D %3D

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Q: Start with the area bounded by y = x^2, y=0 and x=2, then rotate around the line x=3

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Q: s Show that the area of the plane region bounded by the curves, r-y = 7, r= 2y-y+3 is 9 sq. units.

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Q: Find the area by the limit definition: [1 ,0) ,"אxy=2x-

A: Limit definition ∫abf(x)dx=limx->∞∑i=1nf(xi)∆xwhere ∆x=b-an and i=1,2,3...n Let xi=a+i∆x ∫012x-x3…

Q: Sketch, then find the area of the region above the x-axis and bounded by the curvers and lines…

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Q: EX: Show that the kelation ? >' is Partial oldering set of Por R-

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Q: хе? -dA 4-y b- Ris bounded by x=0,x=2,y=0,^y=4-x?

A: Find the double integration of the given function:

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   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a…

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

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

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Q: d. Midpoint of the class boundary 149.5-160.5 is equal to: e. UPPER CLASS BOUNDARY (UCB) of the…

A: Given that, Class Interval is 149.5-169.5  Mid-point is the mean of upper and lower limit.…

Q: Find area bounded by the carves. (Round answer to 2 decimal places) y = 7x² −2x _y=x³ -7x+4 +

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Q: he area bounded by y = |x| and the lines x = 1 and x = 1.7 is

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Q: Sketch the region enclosed by the given curves andfind its area.    x = 2 y 2  , x =  4 + y 2

A: Definition used -    The area between curves -                        A=∫ab(f(x)-g(x))dx

Q: enclosed

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Q: Let R be the region bounded by the curves y=x^2 + 1 and y= 9 - x^2. What is the area of R?

A: Follow the steps.

Q: Compute the area bounded by y = 12 – x, y=Vx and y = 1. Show all necessary workings.

A: Here , y=12-x , y=x and y=1 We need to compute the area bounded by these curves. Area is given by…

Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: y = Vx - x² - re sen /x

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Q: Start with the area bounded by y=x^2 , y=0 and x=2, then rotate around the line y=4.

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Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves y = and…

A: Given curves are: y=x2 ............(1)y=10x-16   .........(2)

Q: Iculate the integral (2² - y2) dA nain D is bounded by y = r and y = 4x for I > 0. ving of the…

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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: what is the area of space bound between y=x^2 and y=x^3?

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Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: Find the bounded by aren the a Xis and the Carve 3. X -

A: we have to find the area bounded by the y axis and the curve .

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.