Differentiate the following with respect to the variable: y = 5 In 3x Differentiate the following with respect to the variable: y = 3x² sin 2x

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 12+sin(18rt),…

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Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ sin3 x…

A: The given integral is ∫ sin3 x cos x dx

Q: س . جد قيمة التكامل الاتي sin va dx

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Q: The y' of the given function is (1–2 sin? 4x) y

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Q: 4. sin'x - sinx = 0 %3D COSX

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Q: Find 'an equation in X, y r Cos ☺ 25 r Sin@= - 2

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14nt)…

A: Note ; velocity is the first  derivative of displacement

Q: Find the smallest positive solution x: (sec(x)+4)(sec(x)+5) = 2 %3D Assume radians.

A: Given  sec(x)+4 sec(x)+5 = 2 We have to find the smallest positive solution x.

Q: sin x =dx V6 cos x – cos? x – 2

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Q: Suppose y = sin x. %3D What y-value corresponds to an X-value of 37? 2

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Q: Differentiate the following with respect to the variable: y 3x? sin 2x

A: Given function, y=3x2 sin2x

Q: b) Find the value of sin x dx

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: c) Sr/6 sin 0 d0

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Q: Use a calculator to solve the following equation for 0 on the interval sin (0) = 0.168

A: using calculator we have to solve the given equation for θ on the interval -π2,π2sin θ=0.168

Q: Q1/ Find L{sin(at + b)}

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Q: Perform the indicated operations and simplify the result. sec e sin e 1 tan e 1 - sin 0 1 sec20

A: To perform the indicated operations and simplify the result.

Q: The value of b that would make the equation cose= sin (0+ b) true is T -T

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Q: For y = sin? x +cosx, y' =

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Q: 4)L(1 + 1)° cos t)

A: The solution is given as

Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

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Q: 2) y= e** (c, cosk + C2 sinx)

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Q: Find the smallest positive solution x: (sec(x)+3)(sec(x)+5) = 4 Assume radians.

A: The solution is given below

Q: Find the graphical solution of the following equations.  (i).  x=Sin2x (ii). 2x=tanx

A: Transform the equation into standard form and get zero on one side. Perform suitable operations on…

Q: 1. S-10 sin 5x dx

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

Q: 5. Find if y = sin(vT +1). dr

A: Please refer to the image below

Q: Q1: Find the X- Value of the Trigonometric Equation. 5 sin? nx 7sin nx • cosnx + 10cos2 nx = 4

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),…

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Q: y = 2 sin 3x

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: c) y sin 53x =

A: Given :y=sin53x

Q: 10* -dx may be written as Aln secB* + tanB*| + C, where A, B, and C are constants not equal to zero.…

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Q: Assume that a particle's position on the x-axis is given by the equation x= 2 cos t+5 sint where x…

A: The given equation is x=2cos t+5sin t. Substitute the value of t=0 in the given equation. x=2cos…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: To prove : tan2x - sec2xcos x = -sec x

Q: Solve the equation sin = cos for θ, where 0 ≤ θ ≤ 2π.

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 11 + sin(11nt)…

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Q: Begin by differentiating each side of the equation x = sin y. Find (x). ar X) =D | Type an exact…

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Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

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Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

A: If displacement is given by the function s(t) = 5sin(πt) +3cos(∩t)then instantaneous velocityv(t) =…

Q: y = sin x coS X 4

A: Given data:     The given equation is: .   The given expression can be written as,

Q: Differentiate the following 1. ?(?) = 7arctan(?) · sec(3 ? ) + ??? 4 ( ?) 2. ℎ(?) = ex + 6/ sin…

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Q: Solve the he y00-y0-x sin(x) equation her sin(x) xsin(x) nall :)

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt)…

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 11+ sin(20nt),…

A: Given that, The equation of displacement is, s(t) = 11 + 14sin(20πt) Where s is in centimeter and t…

Q: Find the value of y: y-(it cos 20) tan e

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: We have to prove the following identity: sec x-tan x sin x=1sec x We know the identity, cos x sec…

Q: Find the smallest positive solution x: (sec(x)+2)(sec(x)+1) = 1 Assume radians

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Q: find dr/dθ r = θ sin θ + cos θ

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Q: 12.) sin(1/a )de 13.) - xp- 14.) (x+x!)*dx

A: Each of the subpart is solved below in details.

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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