Find the arclingth of A) r(6) = 4cos (0) OS OS T ... B) / X (²) = +²+1 2 y(t) = 2³² +2 1≤t≤ 3

Q: cschr 4. Find lim (sin- V)escha. x→0+

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Q: 4. Find the arc length of function y = x2+ x- 2, -2 SXS1

A: Given: y=f(x)=x2+x-2  and -2≤x≤1 We have to find the arc length of the functionf(x).

Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

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Q: Sketch the strophoid shown below. r= sec(0)- 2 cos(8), -<0 < x/2 1.0 1.0 0.5 0.5 -10 -0.5 0.5 1.0…

A: A strophoid is a curve generated from a given curve C and points A (the fixed point) and O (the…

Q: Consider the curve f(y) = -y + for 1 <y<2. Find the arc length of the curve.

A: The curve is fy=18y4+14y2 where 1≤y≤2. The arc length of the curve fy on the interval a,b is defined…

Q: If C is a circle of radius 8 centered at the point ( 0, 5 ), then evaluate pain(2dr + (11æ sin(y*…

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Q: Let C' be the circle |2| = 3 in positive sense. Find ( sin(r2*) + cos(72²) dz cos(T2²) (2 – 1)(2 +…

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Q: Exercise 12. Compute the length of a circle of radius r, and the length of one cycle of the curve…

A: Given: Circle of radius r. To find: Length of circle of radius r and length of one cycle of the…

Q: Q1: Find 1) e (3 + e6t)2 2) l {e-3t (t + 1)²}

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Q: 1. If f(x) = 3x2/3 - 10, find the arc length of the graph from the point A(8,2) to B(27,17).

A: Note:  We'll answer the first question. Since the exact one hasn't mentioned. Please re-submit the…

Q: Suppose thet the filowing Aransforuution Conneclss the (x') and (ti) codmate ک ماول se4ス?) e え(スーx)…

A: Handwriting solution given.

Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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

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Q: Find arctan(x) using theorem of phythagoras

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Q: 3 5 х3; [1,3] 3 1 (с) y = у 10 У — X3 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Previous 8) Find y' if y = (2x - 1)(x + 1). %3D a) O 4x + 1 b) O -4x + 1 c) O 4x - 1 d) O -4x - 1

A: We have to find derivative

Q: Is z=0   is not singularity ?

A: As per the question we are given the following function : f(z) = z3 sin(1/z) / (z + 1)2 And we have…

Q: 2. Write the equation (do simplify, but do not integrate!) for the arclength of the graph x=e¹y=e²¹…

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Q: USG hG FOlloing graph of P'(X) tO UGS GriDG thG benavior of fCX). Srate where P() ld inGrcasiNg…

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Q: Find the arc length of the graph of (v-1)³ = x² 1 <y<5.

A: Given that y−13=x2 and 1≤y≤5. We have to find the arc length of the graph of y−13=x2 and 1≤y≤5.…

Q: 3 1) Find the length of the curve y = 1 + 6x°/2 ,0s x< 1 Length of curve = S" ]1+ ² dx 2 a

A: Answer is given below

Q: nd

A: Find dydx, for y=ln(tet), x=etan-1(2t)

Q: f (x) = arctan(e“) ise ƒ '(-1) =?

A: To find the derivative of  f(x)=arctan(ex) at x=-1

Q: Find the arclength of y = 2x - 1 on 0 ≤ x ≤ 4

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: Find the arc length of y=((x+4)/2)4+1/2(x+4)2 over [1,4]

A: Given data:     The given expression is: y=((x+4)/2)4+1/2(x+4)2. The given limits is: [a, b]=[1, 4].…

Q: Find the arclength of y = 4x + 3 on 0 < x < 2

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Q: Question 8 Suppose f(x, y) = x²y + xy³. Find fry (0, 1). A) 2xy + x²y' + y² + 3xy²y' B) 5 C) 3 D) x²…

A: Given: fx, y=x2y+xy3 To find: fxy0, 1.

Q: 1) [ (2t–1)² dt 2 2 2) dx X 3) [ , x(x² + 1)° d.

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Q: Find the arclength of the following function from x = 0 to x = 2 (x² +2)Wx² +2 f(x)=. 3

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Q: 2.) dy dx 1 x²+1

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