A- Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). B- Prove that: (1) ()tan x =: (2) elns 4.

Q: Find the arc length of the graph by partitioning the x-axis.   9y2 = 4(1+x2)3 , from x=0 to x=4√2…

A: Given: 9y2=4(1+x2)3  from x=0 to x=4sqrt(2)

Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

A:

Q: Find the arc length of the graph by partitioning the x-axis. 9y2 = 4x3, from x = 0 to x = 7; y ≥ 0

A: we have to find the arc length of the graph by partitioning the x-axis 9y2 = 4x3, from x = 0 to x…

Q: Q3. Tangents are drawn from 0(0,0) to the circle x² + y² – 2x + 4y+ 1 = 0, touching the circle at L…

A: The standard form of the equation of circle is   x-h2+(y-k)2=r2   where (h,k) is center of circle…

Q: Find the tangent line to the given circle as directed. x² + y² + 10x – 6y – 2 = 0 parallel to y =…

A: Equation of the circlex2 + y2 +10x -6y -2 = 0⇒x2 + y2 + 10x -6y -2 + 25 - 25 + 9 -9 = 0           .…

Q: Find the arc length of y³ + y = x² + 6x on the interval [-5, –1].

A: Since the given graph is in implicit form (we can not find the explicit value of y in terms of…

Q: Find the arc length of the curve from z = 3 to = 6. Leave your answer as a simplified radical. f(x)…

A: Explanation of the answer is as follows

Q: 2. Consider a circle centered at the origin with radius r. Use trigonometric functions and…

A: Explanation of the answer is as follows

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

A:

Q: 1. Find the total length of the curve r = 4(1 - sin 0) from 0 = 90° to 8 = 270° and also the total…

A: The given problem is to find the total length and the perimeter of the given curve. Given curve…

Q: Find the length of the arc of the curve y =: +e*) from x = 0 to x =2.

A: y=ex+e-x2

Q: Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4).

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: Find the exact area inside the curve defined by r = 2 + 3 sin 0 and outside the circle r = 2.

A:

Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x =…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: a) Show that the length of the arc of the curve y=f(x) where S(x) = Insecx 0SxS is 4 In(1+ v2)

A: We need to show that the length of the arc of the curve y=f(x) where f(x)=ln(sec(x)), 0≤x≤π4. The…

Q: Find the arc length of f(x) = () (x² + 2)z on the interval [0,9] %3D

A: (6) Given function is fx=13x2+232 and interval is 0,9. We have to find the arc length of fx=13x2+232…

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: A- Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). B- Prove…

A: The equation of a circle having center C(1,0) and radius r=4 is given by: x-12+(y-0)2=42…

Q: 1. Use Green's Theorem to evaluate |F. dr, where F(r, y) = (3y- esin, 7x + Vy + 1) and C is the…

A:

Q: Find the arc length of the following curve on the given interval. 27 x = 9t°, y = , 0stsV3 2 The arc…

A: We have to find length

Q: The tangent to the function y= csc x at x= π/4 and the x- and y- axes form a triangle. Find the area…

A:

Q: Find the arc length of the graph by partitioning the x-axis. y=(1-x2/3)3/2 , from x= 1/64 to x=1

A: Given function is y = y= 1-x2/33/2 from x= 1/64 to x=1 The arc length of a curve on the interval [a,…

Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

Q: Find an interval of t-values such that c(t) = (cost,sin t) tracesthe lower half of the unit circle.

A: Consider the given point as ct=cost,sint

Q: Suppose an arc of length s lies on the unit circle x + y = 1, starting at the point (1,0) and…

A:

Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to…

A: This is a question related to derivative of the function. Based on the general formula we will find…

Q: Find the arc length of y³ + y = x² + 6x on the interval [-5,–1].

A: The arc length, L of a function, x=f(y) in the interval [a,b] is calculated using the formula below.…

Q: 8. Find the arc length of y3 + y = x² + 6x on the interval [-5, –1].

A: Given equation of the curve is y3+y=x2+6x                     (i) To find the arc length in the…

Q: 2. Find the arc length of (x+5 y= over the closed interval [-1,4] .

A: Given curve is

Q: ppose an arc of length s lies on the unit circle x^2+y^2=1, starting at t

A: It is given that, an arc of length s lies on the unit circle x2+y2=1starting at the point​ (1,0) and…

Q: Find the arc length of the graph of y = √(16 − x2) over the interval [0, 4].

A: Given: y=16-x2 interval [0, 4]

Q: Find the arc length of the graph by partitioning the x-axis. y =2/3(x2 + 1)3/2, from x = 2 to x=7

A: The arc length of a curve y = f(x) over an interval [a, b] is given by the formula

Q: Use simpsons rule  with n=4 to approximate the arclength of the graph y=x2+x+3 from A(-2,5) to…

A:

Q: What is the area of:  To the right of Z = 0.29 and to the left of Z = -1 Show the solution and…

A:

Q: 4) Determine the equation for the shortest arc that passes through the point (0, 0) and (1, 0) and…

A:

Q: find the arc lenght of f(x)= ln(cos x) on [pi/4, pi/3]

A:

Q: ind the length of arc of the curve 6xy = x⁴ + 3, from the point where x = 1 to the point where x =…

A: Here given equation as 6xy=x4+3ory=16x3+3x Differentiate with respect to x…

Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

A:

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: find the arc length of the graph f(x) = x5/10 + 1/6x3  over [2,5]

A: Let y = f(x) be a function.Then, the arc length formula for the graph of the function over [a,b] is,

Q: Express the circle specified by x 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A: Note: Equation of a circle with radius r and center at (h, k) is given by (x-h)^2 + (y-k)^2 = r^2

Q: Find the arc length of the graph by partitioning the x-axis. y=1/3 (x2 +2)3/2 , from  x = 3 to x =…

A: Given: The function y=13x2+232  fromx=3 to x=4

Q: Find the arc length of the graph by partitioning the x-axis. y= x3/6+1/2x , from x = 1 to x = 9

A: Find the arc length of the graph by partitioning the x axis. yx=x36+12x for all x∈1,9.

Q: A curve is drawn on a sphere of radius "a' and the principal normal at a point P makes an angle 0…

A:

Q: Find the length of arc of the curve y = - In x from x = 3 to x = 9. 9

A: f(x)=x29-lnx on the interval x=3 to x=9

Q: 2 2 If C is the part of the circle E) + ) = 1 in the first quadrant, find the following line…

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Q: 3 dz where C, is the top half of circle with radius (b) Compute the upper bound of 2,

A:

Q: Express the circle specified by x = 2 cos(0) y =1+2 sin(0) in Cartesian coordinates and find the…

A: Solution