Recall three facts about hyperbolic cosine and hyperbolic sine functions: dr cosh(x) = sinh(x), di sinh(x) = cosh(x), cosh? (x) – sinh? (x) = 1. Compute the Wronskian of cosh(2) and sinh(2). Using your question 1's answer, cosh() and sinh(x) are linearly independent on R True False
Give an exact number thank you Evaluate the definite integral. 3 s cosh 22x sinh 2x dx 0
question 10 and 11 10. Solve the equation 5 cosh x – 3 sinh x = 5. 11. (a) Show that cosh (x - y) = cosh x cosh y - sinh x sinh y. (b) Show that for any real number x, cosh” x + sinh? x = cosh2x . Hence prove that cosh2x = 2 sinhạ x + 1 = 2 cosh? x - 1. 1+ tanh x (c) Show that 1- tanh x
Find the derivative of the following: f(x)=( Sinh(Sin-(x2)))3 оа. Select one: - 6X(Sinh(Sin-(x^))) Cosh(Sin-1(xº) √1-8" 3(Sinh(Sin-'(x2)))?Cosh(Sin-'(x2)) O b. 71-X 3(Sinh(Sin '(x2))) Cosh(Sin ?(X)) O c. 71-X 6XCosh(Sin-'(x?)) O d. V1-14
what is cosh(npi) and sinh(npi) equal to??is sinh(npi) =0 or cosh(0) =1
Please do both of them. Thank you. Find 3 cosh(2 x) 3 sinh(5 x)] 3 5 2+4 15 a) 225 3s 15 b) О 2-4 2-25 6 c) O 3 s 24 2-25 6 3 s d) O 2+25 3 5 15 e) O 2-4 (2-25) fONone of the above. Question 6 Find e2 sinh (5 x) 4 e cosh(5x) 2 а) О 2 (5 7) 2 (s3) 5 6 54 1 b) О 2 (s3) 2 (s 7) 54...
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
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
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
The hyperbolic cosine and hyperbolic sine functions, f(x) cosh(x) and g(x) sinh(), are analogs of the trigonometric functions cos(x) and sin(z) and come up in many places in mathematics and its applications. (The hyperbolic cosine, for example, describes the curve of a hanging cable, called a catenary.) They are defined by the conditions cosh(0)-l, sinh(O), (cosh())inh("), d(sinh()- csh) (a) Using only this information, find the Taylor polynomial approximation for cosh(x) at0 of COS degree n = 4. (b) Using only...