1+x Show that coth-1x = ; In () 2 x-1

Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A:

Q: 7. Prove that: (3) (a) (4) (b) sin20 cos20-1 in (-0) + cos (- 0) = cost -cote =

A:

Q: In Cosh X

A: According to the Bartelby Guideline only one question can be solved at one time, post the remaining…

Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: Prove 9 coshx – 5 sinhx = 15

A: This is hyperbolic function equation so we want to find x value by thi equation so. firstly, we…

Q: 5 If cosh(2x) = 2 , x < 0 , find the exact value of tanh(x). Enter an integer or a fully reduced…

A: By identity,  cosh(2x) = 2 cosh2(x) - 1  5/4 = 2 cosh2(x) - 1  2 cosh2(x) = 9/4  cosh2(x) = 9/8…

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

Q: 2 cos(5x) – 5 x² – 2 sin(3x) – x2 – 3x - lim - - (Write your answer in the given box)

A:

Q: tan 9x - tan 5x 11. Simplify 1+ tan 9xtan 5x (SHOW WORK)

A: follow next step

Q: NSTR 1. Ц2, -1), М(З, 6) INS TIONS. Find th

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: 1. If z = sin2+In^, find the value of x- +y X

A:

Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: Prove that sin 5x + sin 3x/4 sin x cos^3 x - 4 sin^3 x cos x = 2 cos x

A: Given: sin5x+sin3x4sinxcos3x-4sin3xcosx

Q: 1 1 Prove -2 secx tan x 1+ sin x 1- sin x

A:

Q: tan(1 – x) 2 limx→1 2x +x – 3

A:

Q: tan(6 x) sec²(6 x) d x. Compute 9

A: Topic : integration

Q: (b) Use the definition to show that cosh(-x) = cosh(x). + e-(-x) cosh(-x) e-X + eX

A: Please refer the attached image for complete solution. THANK YOU.

Q: cos 2x +1 sm 2x Prove that Please show proper steps sin 2x 1- cos 2x

A: We know the formula (1) 1+cos(2x)=2cos2x (2) 1-cos(2x)=2sin2x (3) sin(2x)=2sinxcosx

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: 2.2 Find all values of x in the interval 0<x< 2n for which -< sin x < 2

A: Given that -12&lt;sin x&lt;12.…

Q: 2. Show that by using MEAN VALUE THEOREM 4-n < tan-1 v – tan-1 u < 1+v2 if 0< u<v 1+v2 3 <tan 25 -14…

A:

Q: Prove that : 1. Sinh'x= In(x+x² +1)

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: alue of x to

A:

Q: Prove 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: 7. Show that sin (+ x) = -cosx.

A:

Q: 3. tane de ) 71+ n cose)/3

A:

Q: Find an interval of length 1/4in [1, 2] containing a root of the equation x^7 + 3x − 10 = 0.

A:

Q: to decide if the equilibria te that In(x) > 2 for all

A:

Q: 1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

A: To prove:-

Q: 1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

A:

Q: If x >0, Prove that X - ln (1+x ) > x^2/2+2x

A:

Q: 3) Prove that b) tan- (*)} = sechx

A: Evaluate the derivative of the given function as follows. ddxtan-1ex=11+ex2ddxex…

Q: Prove そ Cose tiSina -(1- tan@)

A: We will use trigonometric identities of sub-multiple angles to evaluate. And also, we will multiply…

Q: tan 4X Prove that 4t(1-ビ) if 1-6t +tf t=tan

A:

Q: 1. f(x) = cos 2x - Show the solution of the derivative using F'el trigonometric identity that it…

A:

Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: If Z= tanh) show that: *

A: The given function is z=tanhyx We have to prove that x∂z∂x+y∂z∂y=0 ∂z∂x=The partial derivative of z…

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

A:

Q: Prove that : 1. Sinhx= In(x+x² +1)

A:

Q: sin 3rdx 8. Evaluate: S 4+cas²3x

A:

Q: 6. Show that in the interval (0, 7) 4 cos 2nx sinx = 元 Σ 4n2 -1

A:

Q: by thể differen ntial equation on associated with this sy

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: Prove that

A:

Q: Lim メーvo s'in 5À sin 3X

A: Given: limx→0sin5xsin3x

Q: Prove that X -sin 8 2 X sin sin x 8 2 2. 2.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.