a) sin x > - log x b) sinx < - log x c) x2 -212 1.2* d) x+< 10

Q: 9. cosh x + sinh x= e* %3D

A:

Q: 9. cosh x + sinh x = e* %3D

A: To Prove,                cosh x+sinh x=ex

Q: sin -1(-i) = o-i log(1 +/2) i log(1 + /2) -i log(i + /2) - i log(1 – /2)

A: Note the formula : , where . The argument of any positive number is 0.

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

A:

Q: Using Newton's method, the approximation of the root x of f(x) = 2 – x² – co within 10 starting with…

A:

Q: Solve indefinite integral ∫ cos(πx)/sin^3(πx) dx

A:

Q: Find the value of x7 in 3 decimal places (positive value) using Newton-Raphson Method (7th…

A: To find 7th approximated root of f(x)=sinx-x using Newton-raphson iteration method.

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: Using Newton's method, the approximation of the root x* of f(x) = 2 – x² - cosx accurate to within…

A:

Q: [ ")}] cos'x { v(1-x log { 1+ sin (2xv(1-x²)) TT in (2xv(1-x*)}

A: In this question we are using concept that  Cos is even function so cos inverse is also a even…

Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

A:

Q: 2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's…

A: Consider the given function,

Q: sinh(9x) If g(x) : 8 + cosh(9x) find g' (x) 8+ cosh(0)

A: Following formulae are used to solve first question

Q: sin(20nnt) AS(t)ln:odd = Ln=1 %3D

A: The Given problem is:…

Q: Evaluate the indefinite integral. ∫sin5(x)cos4(x)dx

A: Integrate the given indefinite integral as follows.Consider the expression sin5(x)cos4(x).The above…

Q: S x2tan (x³)dx

A:

Q: Prove the identity sinh 2x = 2 sinh x cosh x

A: Prove that: sinh 2x = 2 sinh x cosh x

Q: (b) Prove that : - 1) (coshx)² – (sinhx)² = 1

A:

Q: tan x dx = In|sec x|+ C

A:

Q: o lim x-0 x² - sin²2x 2 x 2

A:

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: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

A:

Q: Solve for the value(s) of x over the interval 0 < x< 360 sin(2) = - V3

A: values=?

Q: use a geometry formula to find the exact value of the definite interval square root of 16-x2 dx on…

A: The given can be consider as a function,

Q: 2 – sin x |log -п/2 .피2 dx 2 + sin x.

A: Given: I=∫-π2π2log2-sinx2+sinx-exdx For evaluating given integral, we use property mentioned below…

Q: Evaluate the definite integral. (1/10 sin-1(5x) dx 1 - 25x2

A:

Q: Find dx 1- y = log (Sin x )- Cot - Vx 3 2. y = log( vx) = tan(x - y) 3- x Sec -x = y? log (sec x) 4-…

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

Q: Find the value of x5 in 3 decimal places (positive value) using Newton-Raphson Method (5th…

A:

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: 1. f(X)= xpi - pi(x) + pi/x + pix - cos (pi)

A: Given, fx=xπ-πx+πx+πx-cosπ We know that dxndx=nxn-1daxdx=axlnx

Q: Find the x-coordinates of the points of inflection of k(@) = sin (e) on the interval 2 Use exact…

A: h(θ) = sin2(θ)  [ -π/2, π ]

Q: /sin³(x)(2x+5)6 ex4-5 3 . Find y' if y = %3D (ex*-5) ' log4(2x)

A:

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: Let the domain of the function f(x) = log4 (log, (log3(18x – x² – 77))) be (a, b). Then the value of…

A:

Q: In the function:  f(x)= (3x^2)ln(x) , x&gt;0 Where is the function increasing and decreasing in…

A:

Q: find g' g(x)= square root of 1-sin^2(x)

A: The given expression is: g(x)= square root of 1-sin^2(x)I am interpreting it to be as shown on the…

Q: Prove the identity (cosh x + sinh x) n  = cosh n  x + sinh nx

A: Consider the given L.H.S of the given identity coshx+sinhhxn

Q: tan (log x) 2 dx 2 x(1+log*x)

A:

Q: Prove 42 tan xdx =1-log 2

A:

Q: 4. Find all values of x satisfying In[(2x + 1)(x + 2)] = 2 ln(x + 2). Verify the values of x you…

A: The given equation is  ln[(2x + 1)(x +2)]= 2ln(x+2)

Q: -1 -sec"(x) =: dx -csc"(x)= Explain why the modulus x Given that and dx is needed here.

A: Definition used -                                        ddxsecx =secxtanx…

Q: a. Find the root mean square value of tanh x, for 0 < x< 2.

A: we know the formula of root mean square, rms = [ (1/b-a) (integration of |f(x)|2 from a to b) ](1/2)…

Q: Prove the identity.  cosh x - sinh x = e -x

A: Consider the given identity of L.H.S as coshx-sinhx

Q: 52. Verify that f(x) sin x is an odd function and u fact to show that '3 sin x dx < 1 -2

A:

Q: Simplify the expressions

A: Given that: The expression is log2 e( ln 2) ( sin x) .

Q: Find the indefinite integral  ∫sin3 x cos2 x dx

A: We have to find the indefinite integral ∫sin3 x cos2 x dx

Q: =sec (Xty)

A: dydx=secx+y  Let v=x+y  1+dydx=dvdx  dydx=dvdx-1  dvdx-1=secv dvdx=secv+1 dvsecv+1=dx

Q: Determine the equivalent of log4i sin(3 – 4i). Express your answer in rectangular form.

A: The given problem is to evaluate and simplify the given complex expression and express in the form…