use Lagrarge mul tipliers Sublect to the Constcair t to mekim,ze x+2y=5

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) dx finel

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Q: Find Equatien of the tavgnt lin tu th cuve at tk giver pointe y= sec X ,

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Q: H.w Find the enlsed between yasinx, ya cas X arca

A: In the question it is asked to calculate the are enclosed between y = sin(x) and y = cos(x) when x…

Q: Find the arc length of the graph by partitioning the x-axis. y = x2/3 + 1, from x = 1 to x = 8

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Q: Equation is f(x)=3x-x^2

A: First we find out the slope of tangent line at x=2 and then the equation of the tangent line is…

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: Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472…

A: Given, x2+y22=16x2y.....1x=rcosθy=rsinθr=16cos2θsinθ Now diffrentiating the given function with…

Q: find the length Of the Curve fram this merval to

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Q: Find the arclength of y = 2x + 5 on 0 < x < 4

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Q: The gruph o i shown here Ideatify the graph of the inerve finction - (B,

A: The inverse of a one-to-one function f(x) is another function that reverse the function f(x). That…

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 arc length of the graph by partitioning the y-axis. (x+9)2=4y3 , from y=0 to y=1 ; x  ≥ −9

A: GIVEN THAT (x+9)2=4y3  WE HAVE TO FIND ARC LENGTH

Q: If h(z) = arcsin(2)(4z + 3), find h'(z) =

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Q: use the trapezoidal rule to approximate use n=6 and h=1

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Q: Find the arc length of the graph by partitioning the x-axis. y = x3/2 + 2, from x = 3 to x= 5

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Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

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Q: Find the arclength of y = 2a + 4 on 0 < a < 4

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Q: a²z a2z If z = arctan (2), find ду?

A: It is given that z=arctanyx z=tan-1yx

Q: Find the length of the arc of the curve in the given range, x3 + 3 1 у %3D25х + 5x2 + 0 <x< 5 4(x +…

A: The arc length of the curve is given by integral:

Q: Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle 0? (Assume a = 4…

A: Given that  The figure is

Q: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

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Q: Find the length of the arc of the curve in the given range, x3 + 3' 4(x + 5) ' 1 y = 25x + 5x²+…

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Q: Find f (x-y3)d a + xy dy if the contour C looks as follows: It consists of two arcs of radius 1 and…

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Q: 4. Find the length of the arc C = {(x, y): y = V16 – x²?,0 < x < 3}.

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Q: Find the Felative Maximum vasve of Fx,x) = x*- y, Subuicct to the Construint X-Y=24.

A: The given function is as follows. fx,y=x2-7y2 the given constraint is as follows. x-y=24y=x-24 The…

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: Consider a χ2-curve with df = 16. Obtain the χ2-value that has area a. 0.025 to its left. b. 0.975…

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Q: In circle X, mZYXZ = 135° and the area of the shaded sector =T. Find the length of XY.

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Q: The arc length of the the curve x =V9 - y2 - 3<y<3 is equal to Select one: О Зл O 9T О бл 18T

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Q: Does the followlng intergral Co verge or diverge ? dx

A: Check whether the given integral is and divergence or convergence

Q: AB is the midsegment of A XYZ and PQ is the midsegment of AXAB. What is the relationship in length…

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Q: 5 Locate the bijurcotion values jor the one-param eter jamily dy- ytly+a and draw 1. values jor the…

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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: (is)Find the eguakion af the line tangent to y=ro* át (!,10')

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Q: If x = 8cos3theta and y = 8sin3theta, find the total length of the curve swept out by the point…

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Q: The area bounded by the curve y = 6z and the lines a = 5 and z= 8 above the T aris is 234.00 square…

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Q: Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

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: © Calculate the distance to the auerage yraxis for poinits in D: (2,4)

A: Consider:                    y=x2   To determine:                   Average distance to the y-axis…

Q: Find the Võlumé of thé šólid generated by revolving the shaded region about the given axi About the…

A: Explanation: If we rotate the shaded region about the x-axis, we will get the cone shape. Height of…

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A: The arc of the curve in the parametric form can be evaluated for the length using the formula of…

Q: Find the arc length function for the curve y =2x3/2 withstarting point P0(1,2) .

A: Given: y=2x32 ,P01,2

Q: What is the length of the -3< x S3 segment of the y = v36 – x2 www vwwb w e curve?

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Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: Find the arc length of y 3x3/2 for 2 < x < 3.

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Q: find the length of the arc of the curve from point k(8,8) to m( 1,5) X^2/3 -y = -4

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Q: determine the area of one leaf(petal) of the rosde curve r = 2sin(3Θ)

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Q: The arc length of the portion of the curve y = e* with 3 <x<5 is None sz15.54 sz67937.06 sz128.35

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