u = - e' sinhx satisfies one of the following Harmonic и 3и y u = - u Not harmonic

Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

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Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

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Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: sin x cos? x dx

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Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. %3D 2

A: We are given with sinhθ=32. We need to find some other trigonometric functions. Use the relation…

Q: Define ro = 0 and xn+1 = In chis to Newton's method. tan(r,)-1 sec2(z,) What is lim, Pn in this…

A: In the given question we have to find the limit of the sequence xn as n→∞ where the recurrence…

Q: Prove the hyperbolic identity of sinhxcoshy-coshxsinhy=sinh(x-y)

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Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

Q: 11.J sin 3 x sin 6 xdx 3

A: To evaluate the given integral.∫sin 3x sin 6x dx

Q: Evaluate dy/dx at the point (π/2, π/2), if 2 sin^2 x + 1/2 cos y = (3 sin x)^11 . Mention all…

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Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: I = ∫2/5 sec θ tan θ dθI = 25∫ sec θ tan θ dθI = 25∫1cos θ.sin θcos θ dθI = 25∫sin θcos2 θ dθ…

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

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Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: The derivative of y = 3 cos (V1-x²) + (1-x²), can be written as sin ( V1-x² ) – ( 1–x²) }) 3x…

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Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = x³ as follows. 2 be the…

A: Given equation is cosx2+4=x3. To approximate a root of the equation when x1=2.  Formula for Newton's…

Q: For y = - 2 sin 4x its amplitude is its period is its horizontal shift is Enter exact values.

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Q: | cos (nt)sin(at) dt Find

A: This integral can be solved by the method of substitution.

Q: -6e' sin(at – 3) dt

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Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: Find sinh + C sech V5 + C sinh () + C X. Cosh 5 O -1 csch--

A: Integral of the given function is -

Q: Solve part d) only Differentiate Show all work

A: d) y=-12e1x2

Q: If tanh(x) = 24, find the values of the other hyperbolic functions at x. sinh(x) %3D cosh(x) coth(x)…

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Q: Find by implicit differentiation. 3+ 6z = sin(zy') dy Answer: dz

A: Solution is in step 2

Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: Differentiate with respect to x. Y=sin5x

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Q: Find the si0pe of the given Function 1.) hlx) = sin x cos 3x at * = 3 メ 2.) y= In at メ = -2 メー! 3.)…

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Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given that y=sin-1(ex). We need to find the absolute and local extreme values of the above function.…

Q: cosh(2æ) – 1 Verify the identity sinh? (x) using the definitions of the hyperbolic functions.

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Q: 2. Find the linear approximation to hly)=sin(y+1) at y=0. Use the inear approximation to approximate…

A: linear approximation.

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given indefinite integral,∫7sinθ3 dθwe have to find indefinite integral and check our answers by…

Q: Solve y' = y3 cos x (Show clear work!)

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Q: Verify.

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Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: Differentiate. Simplify where possible. y = arctan(cos 0)

A: Given : y = arctancosθ

Q: To approximate the value of sin44° , we will use y=sinx. What must be the yalue of dy ?

A: the aproximate value of sin44 = 0.6946 for approximation  let  y= sinx dy = cosx(dx)             x=…

Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Show complete solution. Determine the slope of the tangent line to the graph of the equation ey =…

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Q: 3. Find the equation of the tangent line to sin- (x – 2y) = 2xy- 1 at the point ( 1, ;).

A: We will solve the problem

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

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