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Q: ぶd Use he Sinen graph below to fex)dx by using seomedic areas.

A: Given: The graph of function as To find: ∫08fxdx by using geometric areas.

Q: Mar 09, 6:49:03 PM In circle G with mZFGH = 74 and FG = 8 units, find the length of arc FH. Round to…

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Q: cot z 183. y = 1+cot r

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Q: IT Chord Diameter Radius Tangent TR PV US QU P'

A: By using definitions, we solve the above problem.

Q: dr = 3, find dt dA when r = 5. dt Let A be the area of a circle with radius r. If

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Q: 3 dgee 2. Calculate the arc length of y, from to2. (Hint: Remember to be creative with 6 2x…

A: We are given equation of curve with bounds as

Q: The domain of the function y tanh z is 1, +∞). Select one: a. False Ob. True

A: To find the domain of this function, we use the fact that for any one-to-one invertible function f…

Q: E(x?) is called the second moment about orgin

A: Given statement, EX2 is called the 2nd moment about origin.

Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: angleO: Find a Tayler saries for Hhe Sunction fa)= In G) contered at a=I

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Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: gment JK and segment HK are tangents to rcle G. J

A: Given that:

Q: TT he area of the region between the sine curve and the x-axis from 2

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Q: x = 2(cost + sint) and y= 2(sint – cost) What is the arc length in the range of [0,27] the curve…

A: Given curve is: x=2(cost+sint) and y=2(sint-cost)    and Range is [0, 2π]

Q: After applying change of coordinates to the following function, the new integrand should be g²+y?…

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

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Q: Find the extrema of the function below using Newton's Method. cos( ) +x² – 3r

A: Here we have to find the extrema of the function f(x)=cosx4+x2-3x using Newton's Method.…

Q: TE 4 To approximate cos(x) dx would Simpson's Rule, Midpoint Rule, or Trapezoidal Rule give a better…

A: We know ∫0π2cos(x)dx = 1

Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: e cos at the Find the equation of the tangent line to the curve y = point (e?, 0).

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Q: Calculate the arc length of the curve y= 5 1 for 1<x<2. 123 Round your answer to two decimal places.…

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Q: b) Find the point's acceleration at the specified time. s"(2) = ft/sec2 %3D

A: we have been given  s=3t-3t2   , t=2s'(t)=ddt3t-3t2s'(t)=-3t2+6t3now…

Q: dz az Find and of the equation z = xy arctan ax ду

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Q: What is the magnitude of her displacement from where she is now located to base camp. (put your…

A: Follow the procedure given below.

Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: dy Find dx or y' of the following functions and make any obvious simplifications: a. Y = cot(Ve" )…

A: Solve for derivative

Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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

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Q: Find the radius of the osculating circle for 7(t) = (cost+t sin t)i +(sint – t cost)j +3k when t=1.

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Q: You constructa tangent to clrcle O at polnt X on the circle, as shown below. What do you expect to…

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Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: Find the arc length of the functionf (x) from.x = 0 tox = 2. f (x) = sinx Round your answer to three…

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Q: Find the arc length of the graph of the function over the indicated interval. X = 3 Vyv - 3), 1<y s…

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Q: Q 6/ Compute the moment of * the Inertia for the shaded area with respect to the Y- — axis? 2 ft --…

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

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Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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Q: ane both tangents 5) TR and SR to OC. Find Hhe valve of x. 5x-7 23

A: Length of tangent to circle

Q: find the arca of he shaded regon. Ue a calcularor apter xmng up tde integal. cos 20

A: Let r1=cos2θ and r2=2cosθ. We know that a polar coordinate is represented as r, θ, where r=x2+y2 and…

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt = 3, find

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Q: i Find the eguation iof the tangent line to Uthe curve y sin 2x =X COS24 at Hohe point (T7/2,…

A: Explanation of the answer is as follows

Q: Which one is the arc-length of the curve y =2/7x + 11, x E [7, 11]? 147x+280 dx 7x+ 11 14x2 +…

A: The curve y=27x+11 , x∈7,11

Q: Find dy Sor The Sullowing Suetien? ) y = Cot 2) y = Ln [cosx) %3D

A: Please refer to the image below.

Q: The arc length of the portion of the curve y=x² with 0<x<4 is попе s=7.7868 sz9.0734 s=10.1938

A: As we know that the expression for the arc length of the curve is:   S=∫abf'x2+1dx   Given:…

Q: The integral that represents the length of the curve 7(t) = (t, cos (2t312), sin (2t312)), where Ost…

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Q: What is the arclength of the function y = 2x² on the interval [0,1]? 0040 (10/10 – 1) 20 10 27 / 10…

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Q: E(X is called the second moment about orgin ylgn İhi

A: In this question we have to verify about the second moment about origin in the concept of mean and…

Q: Let A be the area of a circle with radius r. If = 5, dA when r = dt 5. find dt Answer:

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Q: ind an equation of the tungent line to y= 45in2 X at point (i II

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