1. Find the exact values of sinh (0) and cosh (0) using their definitions.

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

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

A: Given,  sinhθ = 32  We have to find coshθ, tanhθ  and  cothθ.

Q: COS x dx 1+ sin x

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Q: sinh2 (등)

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Q: 1. Find f' (0) given that f(x) = sinh-1 e*.

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Q: 1. Jo cos x sinh x dx

A: Explanation and solution is given below....

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: You were told that sin2x=cos3y a) Restate this as a statement of the form f(x, y) = 0 b) Use part a,…

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Q: I sin 2x cos 2x + kog log a|+e] Ans. y de Jogx

A: Given,

Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…

A: We need to find one real root of  tanx=4x with initial guess x0=1.2 upto four decimal places using…

Q: 1.4 1. Calculate an approximate value of the integral So5 (sinx – Inx + e*) dx by dividing the…

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Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: 1. Calculate for one real root of tan x = 4x with xo = 1.2 up to six decimal places using the…

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Q: In the given question, verify the identity:- sinh(x + y) = sinh x cosh y + cosh x sinh y

A: Consider the provided identity, sinhx+y=sinhx coshy+coshx sinhy Verify the provided identity.…

Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: 1. Calculate for one real root of tan r 4x with ro 1.2 up to four decimal places using the…

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Q: 16. Find the root of f(x) = x³ – 2x2 – 2 = 0 in [2, 3] correct to 3 decimal places, using the…

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Q: Find the approximate value of cos59 with the help of differential. w

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Q: 1-Show that the function defined by the base harmonic function f(x, y) = ex cos 4y

A: As per our expert guidelines we are allowed to solve only one question. kindly repost others. thank…

Q: (5) a) Find the linear and quadratic approximations of sin(0.967) tan(0.26) + (0.96)²(0.26) b)…

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Q: In the given question, verify the identity:-   sinh 2x = 2 sinh x cosh x

A: To prove  sinh2x=2sinhxcoshx.

Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: 1 Proof (I): (sinhx)' = Vx? +1

A: For direct Proof:

Q: 2a's at L{sinh at sin at} = (s* +4a*)

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Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

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Q: solve following differential by finding an appropriate integrating factor cosxdx+(1+2/y)sinxdy=0

A: Solution -  We have the given expression as -  cosx dx + 1+2ysinx dy = 0 1+2ysinx dy = -cosx dx…

Q: Use differentials to approximate the value of cos 29°.

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Q: Calculate for one real root of tan a = 4æ with ao = 1.2 up to four decimal places using the…

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Q: (a) L{t+ sin 4t – e cosh nt} -

A: As per our guidelines, we are supposed to solve only first question.

Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

Q: • Note in the solution entry 1. Calculate an expression for Y = y if sinh (x" y) = In(a" x®)

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Q: Sketch, on separate graphs, each of the functions : (i)sinh(x). (ii)cosh(x). (iii)tanh(x).

A: Hyperbolic functions: These functions are defined as the algebraic expressions of the exponential…

Q: Excrcise 3. Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

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Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: 3. Use Newton's Method to approximate the positive zero of f(x) = e* – 2 cos(x). Xo = 0 X1 = X2 = X3…

A: Answer is below

Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: -31 cosh 2t 7. (a) 2e- sinh 3t (b)-

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Q: To evaluate the / sin-(x) + sin(x) cos2(x) -dx using basic formula of integration (without using…

A: We need to find values of f(x).

Q: Prove the identity. cosh(x) + sinh(x) - e

A: To prove the given identity we uses basic expression for sinh(x) and cosh(x).

Q: cosh(2x) = cosh?(x) + sinh² (x).

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Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the…

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1…

Q: for the following func tion 2= 22メ - log。メ + 4"+ e?7. dx calculate differential dz when X is…

A: GivenZ=22r-log5x+4r+e27------(1)we have to calculate the differentiate dz when x is increased from…

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the smallest positive value of t. sin(2#t) = 4

A: Given sin2πt=32 To find the smallest positive value of t let 2πt=sin-132

Q: d. Show that sin ž is exists or not? e. Verify that the derivatives of sinh z. f. Solve the value of…

A: The solution are next step

Q: Assuming that A is a positive constant, calculate the integral sin-(Ar) dr.

A: Solution: the objective of the value of the given integral

Q: Find the smallest value of t such that t>0 and sin(8t)– sin(3t) =0.

A: The given equation is sin8t - sin3t  = 0 or,  sin8t  = sin3t or,  sin8t  = sin(pi-3t) On comparing…

Q: arc sin z = -i log(iz + V1- 22).

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Q: V3 Find cosh 0, tanh 0, coth 0. 2. B) If sinh 0 =

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We know that, cosh2θ-sinh2θ=1 Putting…