ex+e-x and 2 Given that cosh x %D = ex-e-x sinh x = 2 find the following. a. tanh(ln 2) d b. dx (sinh x) c. cosh? x – sinh? x с. -

Q: For approximately what values of x can you replace sin x by x- with an error of magnitude no greater…

A: Given that,You can replace sinx by x-x36The approximate values of x for which the error is no…

Q: impson's One-Thirds (Use n = 10) 7. S¯½ (5x³ − 2x² + x + 3) dx -24 sin r

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: a- Given that sinhx =3, find tanhx 2. b-Given that sinhx = 5, find sechx, tanhx 2. -Given that sinx…

A:

Q: а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

A: This is a problem of Laplace transform.

Q: + 64dx x² sec' ede 6. tan ?e 7. In [x/25+ x² dx, we let x= 5 tan e. S. In xx-625 dx, if we let x…

A:

Q: 4. (a) (i) Without using a calculator, evaluate /2 sin 2.r cos x dx. (ii) Use the definitions of…

A:

Q: For approximately what values of x can you replace sin x by x - with an error of magnitude no…

A: The Taylor' series of sin x is: sin x=x-x33!+x55!-... Now, when we replace sin x by x-x33!, then the…

Q: 2. ſ tan?(x)sec(x)dx = tan10x а. tanºx + 8 + C 10 tan1ºx b. tan®x + C 8 10 sec®x sec10x с. + C 8 10…

A: sec2(x) - tan2(x) = 1

Q: ortheangena 24 and y=Sinf)at amything special about h

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

Q: 35. G(t) = sinh(In t) %3D

A: We have to find derivative

Q: 3. L(eat) = s-a a 4. L(sinhat) s² -a² 5. L(coshat) s2 -a2 1.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: sinh x - cosh? x is equal to O e- -1

A:

Q: 3 Sin 3t-2 cos zt ; s()| こ what B the onti derivative Satifies re conditon is SLE) =>

A:

Q: x dx x² + √√x². The integral - sine de SSH 1 + cose sece tane de sece - 1 sec²0 do 1+tano cose do…

A:

Q: n on the interval 0 < e s 2 T- Solve the equation sin2e- cose

A:

Q: 1. The voltage E'applied across an inductor with inductance 'L'is given by E = L where the current…

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

Q: Q.1. Using Newton's - Raphson Methods to find solution accurate to 10* for the following equation…

A: given equation is (x-2)2=lnx  so f(x)=(x-2)2-ln(x) we will use Newton's-Rapshon Method to calculate…

Q: r(5 – 2 In |In|3x|) x In |3x| Given: dx.what is an appropriate formula? (A © -2 fu du © -Jua (B O 2…

A: Topic:- integration by substitution

Q: dy Findda . Do not simplify the answer. 20" tan-(x² – sinh 2) y = (cosh® x) In(xª + ln 7) mia di…

A:

Q: The displacementt X Of a moving object at time t is qiven by the equation X= Sintlat) cos (2t) For…

A: We will find out the required solution .

Q: Find the area in the second and fourth quadrants and inside the curve r^2= a^2 cos(2θ)

A: To find the area in the second and fourth quadrants and inside the curve r^2= a^2 cos(2θ).

Q: Solve sin(x) = 0.81 on 0 < x < 27 There are two solutions, A and B, with A < B A = B = Give your…

A:

Q: .L.H.S.-R.H.S. HW/ Brove that: (1) 1-tan? x=sechx (2) coth x-1=csch?x (3) sinh¢cFy)=sinhx.coshy…

A: As per our guidelines we need to solve only 3 questions.please,repost the remaining questions as…

Q: Which of the following is(are) true? (Choose all applicable answers.) O coth x = e +ea -e-x cosh x =…

A:

Q: If: e = a and ey = b Find the value of tanh(x) + sinh(y) for a = 0.77 and b = 0.35 %3D

A: We will use the following formulas sinh(x)=ex-e-x2,  cosh(x)=ex+e-x2 and…

Q: d (d) Compute (cosh(x)). dx (e) Compute cosh(x)+ sinh(x). (f) Show that the hyperbolic sine function…

A:

Q: x2 cos x 6. Find for y = ln: dx sec x а. 2x – sin x – tan x sec x b. + cot x - tan x 2 cot x – tan x…

A: We need to differentiate the equation with respect to x.

Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

A:

Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: Q cschx= la Sinh! I

A:

Q: The height of an arch above the ground is given by the function y = 10 cos x for - 5sxs, What is the…

A: The height is:-

Q: Solve sin(x)=0.43 on 0≤x<2π. There are two solutions, A and B, with A < B. A =   B =   Give your…

A:

Q: s+1 L- s2 +4 cos4t + sin4ta O 1 cos4t + –sin4t b O - 1 cos2t +-sin2t.cO 2 cost+sint dO

A: We first write the given function in expanded form then we will use the propertie of linearty of…

Q: 3. |2" – 8| dx sinh? (e-) 4. dx e cosh(e-*)

A:

Q: Given y= cos-(tanhx), determine dx A - sechx sech?x 1-tanhx © none of the given choices sechx…

A:

Q: (a) Find the approximations Tand Mo dx. (Round your ansers to si decimal places)

A: (a) The trapezoidal rule is: Tn=∫abf(x)dx≈∆x2f(x0)+2f(x1)+2f(x2)+...+2f(xn-1)+f(xn)...(1)Where,…

Q: L s²-a? .2. .A cosh (- (at .B (cosh (at .C (sinh (at II

A:

Q: 1IF Sine2-0.9, Find the valu e of Sino + Sin(e+2 + Sin(e+47

A: Our guidelines for multiple questions,answer only first question

Q: 20. Given: S 10 -dx Find: formula

A: Here we have to integrate the given function.

Q: Solve sin(x) = 0.18 on 0 < x < 27. There are two solutions, A and B, with A < B. A = B = Give your…

A: We have to find

Q: Find a solution with 0 < 0 < n in radians. 2 cos 0 = 0.44 Round your answer to three decimal places.…

A:

Q: Solve sin(r) = 0.86 on 0 <x < 27. There are two solutions, A and B, with A < B. A = B = Give your…

A: Solve the following

Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

Q: 3. A resistance of 12 ohms, inductance of 2 henrys is connected in se. ies with a 10 volts battery.…

A: Given that the  LR  circuit so first draw the diagram then write the KVL  equation  then solve that…

Q: Calculate SN given by Simpson's Rule for the value of N = 6. 1 cos (4x?) dx (Round your answer to…

A:

Q: Calculate SN given by Simpson's Rule for the value of N = 6. I cos(2x² ) dx (Round your answer to…

A: given the expression is , SN given by simpson's rule for the value of N=6 ∫01cos(2x2)dx

Q: Q: Find the values of a and b so that a e-1 2-e'FT3<r<-2 ,x = -2 f(x) = {b x*-16 sin --2 <x<0 X+32

A:

Q: Calculate SN given by Simpson's Rule for the value of N = 6. cos(3x²)dx (Round your answer to six…

A: given integral :

Q: cosh² x – sinh? g(x) = 1 – tanh?

A:

Exponential Growth Model

The relation that represents an exponential function is: