1 y == (x² + 4)°%2 ,0 sxS 2 (x2 + 4)°/2 ,0

Q: The curve y = ax + bx + c passes through the point (2, 28) and is tangent to the line y= 4x at the…

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Q: 6. Find the length of the curve r = 1+ cose

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find…

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Q: Find the length of the curve. 9) The spiral r = 202, 0 s 0 s 2^/3

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Q: 4. Find the acute angle between the curves y = sin r and y = cos r (0 < r <) at their point of…

A: We find the point of intersection by setting them equal

Q: Find the aren of the region in the tirst quadrant baunded by the line y=27, e the line X-4, the…

A: We first sketch the region using a graphing calculator.

Q: Find length of curve: x= (y^(3/2) / 3 ) - y^(1/2) from y=5 to y=11

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: 9) reflection across the y-axIS

A: Png the reflection of the given graph across y-axis

Q: Let us consider the level curve f(x, y) = 2. Does the point %3D (1, 2) belong to this curve.

A: Given function is, fx,y=y2x2+1....(1) Since, the level of the curve is, fx,y=2

Q: 1 Find the length of the curve x= from y 1 to y=2. +. 16y

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Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

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Q: 1. Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

A: Given: Curve y2=x2(1-x)----(i)

Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: The given curve is x=-2y32 from y=0 to y=10. Find the arc length. As we know the formula of arc…

Q: Keparametrize the curve rit) = with respect to its arclength measured from the point (e"20,e"2) in…

A: Given curver(t)=etsint,etcost,et Above curve is passes from the point eπ2,0,eπ2.we need to find the…

Q: 3 Find the arc length of the curve x -3y from y = 0 to y = 4.

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

Q: 5. Find the length of the curve given by x = cos t +t sin t, y = sin t – t cost, -T <t <

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Q: I need to solve this question

A: Given curve is Differentiating with respect to y, we get

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: (a) Given that the transition curve of the highway is modelled after the curve y=4sin x-sin 2 x.…

A: Guven curve  y= 4sinx-sin2x. We have to find its curvature at x=pi/2.

Q: The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y =…

A: To find The equation of normal to the curve 2x^2-y^2=1 at the point (1,1)

Q: 10. Find the exact length of the curve y = In(sec x),0 < x<T/4 %3D

A: This is a problem related to integration of the function. Based on the integral formula we will find…

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: et f(z, y) = for (z, y) # (0,0). Find the level curves of 2 + y²

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Q: of the region described. atween the line y=x and the curve y= 2x/64 -x in the first quadrant a of…

A: Please refer to the image below

Q: e tangent line to the ellipse 25 = 1 at the point (x, y). 9. %3D s where the slope is not defined?…

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Q: Eliminate the parameter to express the curve in the form y = ƒ(x) . x = cos t, y = tan t

A: Given that, x=cost, y=tant We have to eliminate the t and express curve in the form y=f(x). As we…

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: y 2 Find the length of the curve x y? from y = 1 to y = 9. -

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Q: Evaluate |-y dx+x dy , where C consist of the curves along the horizontal line from (-4,4) to (-2,4)…

A: The given integral is: ∫C -ydx+xdy Where C consists the curve along the horizontal line from -4,4 to…

Q: Find the length of arc of the curve y =÷(x² + 2)3/2 from the point where x = 0 to the point where x…

A: Consider the given curve: fx=13x2+232Interval  0≤x≤3Differentiate w.r.t.…

Q: Consider the curve y = zy+1. What is the value of- dz at (0, 1)? None of the given choices

A: The solution for the above question is as shown below.

Q: The region in the first quadrant bounded above by the line y = 6, below by the curve y = √6x, and on…

A:

Q: 2. Determine the arc length of the given curves a) y =+ 1<y< 2 3

A: s=∫y1y2 1+x'2 dyy'=3y23-14y2y'=y2-14y2s=∫121+y2-14y22dys=∫121+y4+116y4-2×y×14y dys=∫12y4+116y4+12…

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

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Q: Find the slope of then tangent line to the parametric curve t t2 + 25, y 6. at t = -1 and t = 1…

A: Shown below

Q: Regionenclused by the_curve (r=2 cos20)-

A: Given:     r=2cos2θ

Q: :y² + z² — ² by first sketching at least three cross sections in each of the 4. Graph the surface 1…

A: A quadric surface is a graph of an equation in the three variables x, y and z in a three dimensional…

Q: 4. Find the arc length of the curve x=y+y from y-1 to y-4

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Q: Determine the length of the arc x=ln y−(y^2)/8 for 1≤y≤2.

A: The solution are next step

Q: 1. Find the are length of the curve x = (y + 2)2 from y-0 to y=1

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: SOLVE STEP BY STEP Evaluate the length of the curve x = 5 - Vy+1 , 0<ys 3

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Q: 2. For ' Arctan(xy) =y" find the value of k so that ky '=- at y = 4 4

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Q: Integrate h(x, y) = (x+y)i+-x)j over the closed curve that begins at (-1, 0). goes along the x-axis…

A: Let me tell you , In this problem we are going to use Green's theorem. Note: Green's theorem is only…

Q: eliminate the parameter to find a cartesian equation of the curve x= sinh(t),  y= cosh(t)

A: x=sinht,  y=cosht

Q: The length of the curve defined by x =÷(y² + 2)E, y E [0,3] %3D

A: Arc length=∫ab1+dxdy2dy

Q: find the length of the curve given x = (y/4)2 - 2 ln (y/4), 4>= y>=12.

A: The arc of length of curve is given byL = ∫y0y11+dxdy2dyhere y0=4 and y0=12 Given function…

Q: FInd c and d so that the curve y = x3+ cx2+d will have a relative extrema at (2,5). Find other…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: Find the length of the curve y= (x+2)3/2 for a in the range 0 <I< 2. %3D

A: find the length of the curve y=x+232 for x in the range 0≤x≤2 solution length of the curve is…