QUESTION 2 The improper integral s** e-Xdx converges to a. The integral does not converge. b. O c. 1 e d.-e-1
2 -e Recall that cosh(x) er te 2 and sinh(2) Any general solution of y'' – y=0, can be written as y(x) = ci cosh(x) + C2 sinh(x), for arbitrary constants C1, C2. O True O False
Prove that sinhx =( e^x - e^-x/ 2), coshx = (ex+e^-x/2) is equal to: sinh x= x+x^3/3! + x^5/5! ... and cosh x= 1+ x^2/2! +x^4/4! .. USE THIS EQUATION: e^x = sum x^n/ n! = 1+x+(x^2/2!) +(x^3/3! )
12) Find ? tan2 xdx. 12) Find ſ tan” xdx.
If cos xdx = f(x) - 2x sin xdx, which of the followings can be the formula of the function f(x)? Sa - 12 Lütfen birini seçin: 2x Cos r?sin 2 sin + 2a cos (2_o?) cosa 4 sina sina 4 cos 2 sin
abité -br and 2 Find the Laplace transform of sinh bt. Recall that cosh bt ebt -bi sinh bt = 2 -e ${sinh bt} b b2 - 52 S ${sinh bt} = $2 + b2 S ${sinh bt} = b2 - 52 b 52 - 62 ${sinh bt} S ${sinh bt} 32 - 62
Calculus II Question Will give thumbs up! Don't know how to approach this. (E) (sin xdx
11) Find ? sin2 x cos2 xdx. 11) Find S sin? x cosa xdx.
Compose a module that implements the hyperbolic trigonometric functions based on the definitions sinh(x) = (e – e ) / 2 and cosh(x) = (e + e ) / 2, with tanh(x), coth(x), sech(x), and csch(x) defined in a manner analogous to the standard trigonometric functions. In Python
5. Prove that rb b² – a² xdx = = 2 (Hint: Evaluate the corresponding limit of Riemann sum.)”