The length of the curve r = 6sine for the period0<0< is 3п

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Q: Of the infinitely many lines that are tangent to the curve  y = −3 sin(x)  and pass through the…

A: Given :    Of the infinitely many lines, that are tangent to the curve y = −3 sin(x)  and pass…

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A: Exact distance can be calculated by using distance formulax2-x12+y2-y12plugging x &amp; y  - values…

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A: Given:-for a sinusoidal functionminimum at (2, 4)amplitude=3period=10 equation of sinusoidal…

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A: Given: a curve passes through the point (1,3) and Arc length given  Find: curve

Q: Find   tan(u/2)   if   sinu=−0.723

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Q: Give the exact value of csc (cos (). Decimal approximations will receive no credit!

A: We can make it easier for you.

Q: caclulate  root of the equation  by using newtin raphson method by giving the smallest positive…

A: Given equation is  2cosx+x2-3=0              (i) Let fx=2cosx+x2-3 f1=-0.9194&lt;0f2=0.1677&gt;0…

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Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

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Q: Without graphing the function y=10sin(7x) determine its amplitude, period, and section width…

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A: We have formula y=Asin(B(x+C))+D                        (1) Where A is amplitude, 2πB is period, C…

Q: A particle is projected vertically upwards with speed u. Show that it rises to a u? 2u height and…

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Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, )

A: arccos1-2x2 Put x=sinθ, we get arccos1-2x2=arccos1-2sin2θ=arccoscos2θ      ∵cos2x=1-2sin2x=2θ=2…

Q: Use linear approximations to estimate the following. 1. sin 9/4

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Q: 11-­ Use linear approximation to estimate sin29(degree).

A: Given, sin 29° To find: Value of sin 29°using linear approximation

Q: 7. Integrate. S tan50 sec³0d0

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Q: Use the trapezoidal rule with n = 5 to approximate cos(x) -dr Keep at least 2 decimal places…

A: The trapezoid rule is

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Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

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Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: In estimating : cos(4a)da using Trapezoidal and Simpson's rule with n = 6, we can estimate the error…

A: ∫-12cos (4x) dx To Find: Estimate the integral using Trapezoidal and Simpson’s rule with n = 6 using…

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Q: The sine and cosine curves intersect infinitely many times, bounding regions of equal areas. Find…

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Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

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Q: Two identical sinusoidal waves with wavelengths of 6.00 m travel in the same direction at a speed of…

A: Calculate the time period T. λ=6m and v=2m/secv=fλv=1T×λT=λv=62=3Hence,T=4sec

Q: In estimating / cos(2æ)dæ using Trapezoidal and Simpson's rule with n = 8, we can estimate the error…

A: Given function is, ∫-16cos2xdx For n = 8.

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Compute the length of the curve r-4 sin 26 for Approximate to three decima places.

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Q: Use Secant method with p, =1, p, =1.2 to find the root of f(x)= In x-cos x that is accurate to…

A: Consider the given function  f(x)=lnx-cosx with initial estimate  po=1  ,        p1=1.2

Q: Find the length of the arc y = 8. 1 from X = 1 to x = 4. 4x www

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Q: a tangent line to approximate the value of sin( + to three decimal places.

A: Let f(x)=sinx. We have to use the tangent line to approximate the value of sinπ4+1100. The formula…

Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places…

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From…

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, ) Hint: you may want to differentiate these…

A: We can prove these by two ways . First is by using derivatives of functions. And second by using…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 3 cos…

A: fx=3cos3x Differentiating with respect to x, we get f'x=3-sin3x·3=-9sin3x Now,…

Q: show equation has at least one solution on indicated intervalcosx - sinx = x on (0, pie/2)

A: To prove that the given equation admits at least one solution in the given interval

Q: Find an approximate value for sin179∘.

A: Consider the given angle is x=sin 179o . Use the approximate formula for small Δx where  Let…

Q: 7. Find the period and the asy а) у%3D sec(® — 2п.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the distance between the points (21, 4) and (3, 26). Give the exact distance and an…

A: Let A(21,4)  and   B(3,26)   To evaluate distance between AB

Q: find the temperature in a bar of length 2 whose ends are kept at zero and lateral surface insulated…

A: Consider a bar of length 2 whose ends are kept at 0 temperature. The lateral surface is insulated.…

Q: 3) To Graph of y = Sin2x %3D 2m Period = Period = Find the intervals below -1 peaker netes

A: Given y = sin2x

Q: the tollowinng 1. cos (Arc cos) 2. cas(Are tanv3) 3. tan (Arc sin) 4. cos(Arc tan1) S.cot (Arc sin…

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Q: Find the indicated number (i) sec-(-2v3/3) (ii) cos(sin-12+ sec-1 3)

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Q: Find the arc 3/2 y= 2x length 1 15x52 of on

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Q: The period of a sinusoidal function is greater than 360° but less than 720°. What restrictions does…

A: State the relation between period and k in the sinusoidal function, then we can easily find the…

Q: In estimating : cos(4x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: Find the exact value of sec(arcten 2/3).

A: Let a = arc tan 23. Then       tan α=23 Using; 1+tan2 α=sec2 α⇒sec α=±1+tan2 α

Q: The equation that governs the frequency of vibration of a cantilever beam is of the form cos x cosh…

A: The equation governs the frequency of vibration of a cantilever is given by cosxcoshx=-1. We have to…