I. Find the LT of the following functions. For numbers 5, used trigonometric identities to find the LT of the given function. 1. f(t) = -200 + 6 Sinh(4t)

Q: Differentiate the following functions with respect to ?; (i) ?= 4x^2 + 5?^3 (ii) ?= ?^2 + cos ?…

A: we have to differentiate all given problem with respect to 'x' (i) Given, y=4x2+5x3 differentiate…

Q: Find the correct estimation of the value tan-1(2) by using Simpson's Rule with n = 4. A.) 1.1384 B.)…

A: Simpson's 1/3 rule ∫abf(x)dx≈h3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x3)+ ⋯ ⋯…

Q: Solve the following questions by bisection method with |b,-a, l=1, secant method and Newton's method…

A: Bisection method uses the formula: x0=a+b2 for the interval, a, b to approximate the root. Secant…

Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

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Q: dy Find for the following function. xp y = 6 sin x + 2 cos x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Compute the value given within 0.01 by deciding on the appropriate f(x) and a, and by evaluating…

A: The function is, fx=cosx differentiate above function, f'x=-sinx Substituting a=0, fa=cos0fa=1 And,…

Q: Q1: Find Maclaurim expression for the following functions 1. f(x)= sinh(x). 2. f(x)=sin (x). 3.…

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Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: Which of the following functions listed below will result in differentiating f(r) = cosh(r) +e a…

A: Option A is correct.  If we differentiate for the first time we get f'(x) = sinhx - e^(-x)  Again…

Q: I. Find the LT of the following functions. For identities to find the LT of the given function. f(t)…

A: We have to find Laplace transform.

Q: Find dyldx for the following functions at x=pi/4 : y= In(Cosx) -1 O 2 -2

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Q: Make a table of values using multiples of t/2 for x between 0 and 47 for the function y = x sin x.…

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Q: Which of the following integrals is leading to inverse trigonometric function? { A} S {B} S; {C} f;…

A: We have to find which of the following integrals leading to inverse trigonometric

Q: b) 5y = 2x? + sin (y) %3D

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Q: Prove the following: a a) L{sin(at)} : b) L{t²} = s2+a² 2 s3

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Q: h(x) = cot (e*) y = sin vx3 + 1

A: The given function is hx=cot3ex. h'x=ddxcot3ex=3cot2exddxcotex=3cot2ex-csc2exddxex=-3excot2excsc2ex

Q: For each of the following, determine the appropriate trigonometric substitution according to the…

A: Known facts: 1-cos2θ=sin2θ tan2θ+1=sec2θ sec2θ-1= tan2θ.

Q: of of and da For the function f(t,a) = sin (4rt+ 7a), find - at

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Q: Differentiate the following function. y= cos 14x

A: We will find the solution in the following step

Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: Solution:-

Q: Use the trigonometric function J(@) = 2stn(x) to answer the following questions. What is the…

A: Given, fx = 2sinx  We have to find amplitude, period, maximum, minimum value  and the midline of  fx…

Q: Q11] Using the properties of the FT, calculate the FT of the following functions: (a) x¡(1) = 5 + 3…

A: Let Fourier transform F is defined as Ff(t)=F(ω)=∫-∞∞f(t)e-iωtdt Solution a:…

Q: Q2/Find the length of the curve r = sine + cose between

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Q: The number of hours of daylight in the SMH Lower Forum in month t of the year (with t = 0 being…

A: Use the graphical approach to determine the required values. Plot the curve for d(t) for 0≤t≤11 as t…

Q: Use the Newton-Raphson method to find a root of the following function. Start from the initial guess…

A: Given f(x)=1x2-cosx-0.5f'(x)=-2x3+12xsinx f(7)=0.4f'(7)=0.0841x1=x0-f(x0)f'(x0)=7-0.40.0841=2.243…

Q: dy Find y' of the following functions and make any obvious simplifications: or dx a. Y = cot ' (Ve)…

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Q: Use the Reduction Formula to evaluate the following (a) f sin“ x dx (b) S tan x sec4 x dx

A: (a) The reduction formula for ∫sinmxdx is given as the following.…

Q: evaluate the following definite integrals : a) tan? * dx

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Q: of of and da For the function f(t,a) = sin (8rt + 7a), find %3D - at

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Q: Evaluate the function below from x = 1 up to x = 3. 1 Nova dx (x)(1 + (lnx)²), All associated angles…

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Q: Drive the following function for :(y) 3(sin(2xy))²

A: We have to find the derivative .

Q: Find the first order derivative for the following: cot(e(+M)y) sin(My²) + Vx4 + Mex %3D

A: We will find  ∂T/∂x,    ∂T/∂y

Q: Find the following definite integrals. sin a dr

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Q: Which of the following pairs does not consist of a function along with its general antiderivative?…

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Q: Q11] Using the properties of the FT, calculate the FT of the following functions: (a) x¡(1) = 5 +3…

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Q: Q2: check whether or not the function ( u ) is harmonic. If it is, find the conjugate function (v)…

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Q: T/2 cos" e sin 0 de by by (a) a substitution, and by (b) using the gamma Evaluate function, and then…

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Q: Differentiate the following function. -t r(t) = (5t e,3t In t,t sin r (t) = %3D

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Q: Differentiate the following function. r(t) = (te ~!,5t In t,t sin t)

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Q: Find the first order derivative for the following: cot(e(3•Z)t) sin(z•t²) S = t5

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Q: Find dy Idx for the following implicit functions : y2.cot x = [sin(x. y)]-1

A: Given y2cot(x)=[sin(xy)]-1            =1sin(xy)            =cosec(xy)          ∵1sin(x)=cosec(x)By…

Q: Find of the following functions. Do not simplify. dy da (a) y = x³ cos(Tx) (b) у (3x–10)² sin(x) Y =…

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Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B…

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha…

Q: Evaluate F(4). f(t)=sin(2t)cos(2t) Round-off to 4 decimal places. Answer: 0.0625

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Q: dy Find dx or y' of the following functions and make any obvious simplifications: a. y = arctan(e")…

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Q: . f(w) = Arccosecant (1 + 4w) %3D

A: To find the first derivative of fw=Arccosecant1+4w

Q: Calculate F(s), if given f(t) the following is eat cosbt - Cos at (4).f(t) = %3D

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Q: f (x) = 6 Sin(4x)+ 2 Cosh(3x)

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Q: de –147 – 6x² – 60x d.

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Q: * Which of the following integrals will yield an inverse trigonometric function? dx A 9– 16x2 wdw…

A: To determine the integral among the four given integrals which gives an inverse trigonometric…