The equation 7e +3e can be expressed using sinh(x) and cosh(x) as:

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

A:

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

A:

Q: Find the general solution of f′(x) = −2x sin x2 .

A:

Q: Q4: Using Fixed-Point Method, find the Positive Root of the following equation: Sin x = 5.x - 2 ,…

A: We have to find positive root by using fixed point method.

Q: Solve the equation v2 sin x - 2 cos x=-1 for – 7SxST.

A: This question is based on Trignometric application.

Q: Find all solutions to the equation 2 sin(rx – 4) = -v2.

A:

Q: Q2) By using the addition formula derive the identity of the function sin (x -)

A: We know that: sinA+B=sinAcosB+cosAsinB Replacing A by x and B by -π2:…

Q: Q2) By using the addition formula derive the identity of the function sin (x-)

A: We have simply

Q: Differentiate the following with respect to the variable: y = 5 In 3x Differentiate the following…

A: Given: 1 y=5ln3x2 y=3x2sin2x

Q: f(x)=sinx + sin(1+x^2) - 1, use newton raphson to solve for the roots

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Q: culate the derivative of: (8x) COS f(x) = sin-(8a)

A:

Q: Solve for real x, the equation sinh 2x - 2 cosh 2x + 2 = 0

A: Question - 8(a) Given equation, sinh2x-2cosh2x+2=0 Used formulas: sinhx=ex-e-x2coshx=ex+e-x2

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: Solve Sin (3x) %3D cos (2x)

A: to find derivative of y=sin3xcos2x

Q: For sin3x+sinx=0,sin⁡3x+sin⁡x=0, use a sum-to-product formula to simplify the equation and then find…

A: Known fact: sinC+sinD=2 sinC+D2 cosC-D2

Q: 347. y = (sin 2x) 4x

A: We have to find the derivative of question 347 by using logarithmic function

Q: Solve the equation on the interval 0s0<2x. 1- sin 0= OA. 3 A 11 OB. 6' 6

A: We can solve it using unit circle method of trigonometry as below

Q: Find the general solution to y" - y' = 5ex - sin 2x

A: Given differential equation, y''-y'=5ex-sin2x

Q: Simplify the equation: sechx + sinhx tanhx cosh z cosh a sechx 1+ sinh 2 cosh z

A:

Q: В- 1) Solve the equation and find x value by using exp. mode. Cosh x = Sinh x + 2,

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

Q: sinh 3x –1 H(x)=: 1+cosh 3x –1

A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

Q: Use an identity to solve the equation sin 2x = sin x on the interval [0, 2π).

A: Given that   To solve the equation sin 2x = sin x on the interval [0, 2π). The trigonometric…

Q: Find the general solution of the equation: cos.xr-sin 2x = 0

A: NOTE: Refresh your page if you can't see any equations. . use the formula  factor out

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: - sin(x®) 9u e cos(3x)· du 9u? Inx5

A: Given- ∫lnx5sin(x6)cos(3x)e9u29u2du To evaluate the given integral.

Q: Evaluate D(sinx – 4e2) (A -cos x-32 ex

A: The given function is sinx-4e2x. Evaluate the first derivative as follows. Thus, the first…

Q: Solve the equation tan-/ x +x + sin - Vx² +x +1 =

A: use inverse formulas.

Q: -1 Cosh-1 5x sinh 4x.

A:

Q: SOLVE FOR X y = 1 + sin (7)

A: Solve equation for x

Q: у 3 3x? sin "(2x)+ 2х

A:

Q: 11. Solve the equation for the real value of x, 7coshx+8 sinhx=1 Applying

A: We'll answer the first question, since the exact one hasn't specified. Please re-submit the question…

Q: e'sinx y.cosx

A:

Q: /x[cosh?(2x²) – sinh²(2x²) ]dx is equal to

A: solution :let…

Q: -1 sin Jx dx

A: Apply U-Substitution to integrate

Q: The equation Te" +3e can be expressed usin g sinh(x) and cosh(x) as:

A:

Q: Solve for x : 2x² + 4 -1 sin{ sin 1+ x? < T -3

A:

Q: S- d.x (sin3r2)?

A: To find: ∫2xsin3x22dx

Q: sin4x S V cos4x + 1 dx

A:

Q: Solve the following equation using method of undetermined coefficients. y) + y"=3x² +4 sinx-2 cosx.

A: The answer is given below:

Q: Solve for x in degrees when x is between 0 and 360° in the following equatic 2sin (2x) - sin(2x) - 3…

A: We need to make quadratic equation for this

Q: a( :). sin x Δ x2+2x-1

A: We have to solve given problem:

Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: Find the root/s of the equation: sin 3x + 3e 2x sinx – 3e* sin2x – e-3x = 0. Set xL =1 and xU = 2.

A: The bisection method performs iterations on the midpoint of an interval to approximate the root of…

Q: Find all values of sinh-1V2.

A: The answer is, loge(√2 + √3)  The detailed solution is as follows below:

Q: Solve sin2x + cosx = 0 for O &lt; x &lt; 2π.

A:

Q: Find the solution of the equation if0 < x<÷n T. 4sin³x – 3 sin x = 0 -

A: We know that, sin3x=3sinx-4sin3x. Also, sinx=siny⇒x=nπ+-1ny n=0, ±1, ±2,...

Q: 1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx

A: Let f(x)=xe-x-sin2x Given initial approximation is x1=0.5 then…