b)A hanging chain has the b)F Shape y=3C0sh(3x), o 4X sIn2 calkulate the lengnt of the chain.

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

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Q: Consider the curve C parametrized by (x, y) = (3 cos (-10t), 3 sin(-10t)), for –x/2sts a/2 Then C is…

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Q: The sides of a triangle are 26, 28, and 34 cm. Centered at each vertex are three circles, tangent…

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Q: ALMN, S is the centroid. If SQ=22 find LS.

A: Here we have been given the measurement of SQ = 22 and S is the centroid.

Q: A cantilever beam of length L is embedded at its left end. Find the deflection of the beam when w(x)…

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Q: Suppose that a particle following the path (e' cos(t). sin(), ) flies off on a tangent at lo = 2.…

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Q: Find the arclength of y = 2a³/² on 1 < æ < 2

A: Answer is mentioned below

Q: Find the arclength of y = 6x – 3 on 0 < x < 4. Give the exact answer. -

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Q: Evaluate the 2 intergrals attached as images with the question.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

A:

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

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Q: Set up the integral which yields the arc length of the portion of C2 traced counterclockwise from B…

A: This is a question from the application of calculus.

Q: Find the length of are リ-Jx-2+ Sa'z) + Sin

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Q: Find the tangent plane to the equation 3y cos(4x – 2y) at the point (2,4,12) Z =

A: Z=3ycos(4x-2y)  Point= (2,4,12)

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

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Q: (2) Find tume area of reason borunded by the graphs of tue equations d-**, the M = I, x=3,and Pound…

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Q: Find the length of the hypocycloid defined by the equations x = a cos° (0), y = a sin° (0), 0 < 0 <…

A: Here we have to find the length of the hypocycloid defined by the equation x=acos3(θ) , y=asin3(θ)

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

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

Q: Show that the arclength of the graph of y=sinx on the interval [0, 2n] is equal to the circumference…

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Q: Find the length of one arch of the cycloid 2(t – sin(t)), y = 2(1 – cos(t). х

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Q: 5Tt in standard position. 6. Sketch 0 %3D

A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: z = tan (VZn + Ze

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Q: Compute sin (z) dz over the counterclockwise circle (traversed once) with radius 7 centered at Zo =…

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Q: Find the arc length of the curve x = a cos3θ, y=a sin3θ in [0,2π].

A: The arc length formula for the parametric curve on the interval [a,b] is given by: Hence compute…

Q: Obtain the center of gravity of the skin of the rotating object that occurs if the arc y = √9 - x2;…

A: As per the question we are given the arc : y = √(9-x2)  for  0≤x≤3 And the surface obtained by…

Q: 1- cos(Vr² + y?) lim (x,y)→(0,0) • (a) Va2 + y?

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Q: Find the length of one arch of the cycloid 1 8(t- sin(t)), y = 8(1 – cos(t)).

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Q: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: Find in terms of x and y if arctan(r + x²y) = ry

A: Given that         arctan(x+x2y) = xy We have to find dy/dx in terms of x and y.

Q: Find the conjugate harmonic of v(r,9) = r² cos 20-rcose+2. Show that vis harmonic.

A: Given vr,θ=r2cos2θ-rcosθ+2

Q: Compute ,f for f(2) +6 + 6i, positively oriented. sin(32) and path 2 that is the boundary of the…

A: Let's see the method of integration. We use residue method to solve this integral.

Q: Find the arclength of y = 3x2 -5 on x is greater than or equal to 0 and less than or equal to 2

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Q: b) flx)= + Arcsin lenx) ,Dp=! %3D Jex+1|-3

A:

Q: Find the areas of the regions in Exercises : 1. Shared by the circlesr=2 cos 0 and r = 2 sin 0

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 2) (section 6.1) Find the length of the small arc formed by the intersection of the unit 1 circle a…

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Q: . (a) Show that as (x, y)→ (0, 0) along any straight line y = mx, or along any parabola y = kx², the…

A: Given : f(x) = x³y/(2x^6+y²)  To find : To prove that limit exist along parabola

Q: yepriate trigonomic subititution to rewrite the intya) U se in the form E sec'e de

A:

Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: Find the length of one arch of the cycloid x= 5(t-sin(t)), y= 5(1-cos(t)).

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Q: What is the integrating foc tor of the equation %3B

A: Topic:- differential equations

Q: Find the length of the catenary y = a cosh from x = 0 and x = a X1.

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Q: Plot the cissoidr 2 sin 0 tan 0 and show that its equation in rectangular coordinates is x3 y2 2 - x

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Q: 1) (a) Evaluate |(2² – y°)dz +2rydy, along the circular C that is upper half-circle oriented…

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Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: - Show that the distance r from the origin O to the point P(Coshu,Sinhu) - on the hyperbola x-y 1 is…

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Q: Show that 8r units is the length, L, of one arch of the cycloid described parametrically by: x (0) =…

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Q: Find the length of one complete graph of the hypocycloid given by r(t)= (cos't,sin't) for 0st<2n 3

A: One complete graph of hypocycloid looks as follows:   From rt=cos3t,sin3t, we have x=cos3t and…

Q: Find the length of one arch of the cycloid x= 6(t-sin(t)) y= 6(1-cos(t))

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Q: Consider the given curve: R(f) = (2 cos f, 12f +3,-2 sin f) Reparametrize the curve using arclength…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.