If an answer is undefined, enter DNE!!! '\sin (0) = %3D '\cos (0) =` %3D `tan (0) =` %3D *\cot (0) =` '\sec (0) =` %3D "\csc (0) =`

Q: of cosx = = sin(x + 4 €) by Perturbation method. Find root over = of cosx =

A: As per the question we are given a perturbed equation as : cos(x) = ε sin(x + 4ε) And we have to…

Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: 5. Show that cos (sin 2x) + sin (cos-1 2x) = (V2-2x)(VZ+2x) -

A:

Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if…

A:

Q: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the…

A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET…

Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

A:

Q: A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the…

A:

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error 1…

A:

Q: 3 In estimating | cos(5x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

A:

Q: If the functions y = sinx and y = cosx are both subjected to à hórizonlal %3D transformation would…

A:

Q: Directon. tanx 6. Oy= (sinx) Fan a ANS: AN

A:

Q: 1- Prove that cosh 2x - sinh 2x = e2

A: sol)Given cos h 2x-sin h 2x=e2x

Q: By using the definition of hyperbolic functions, show that sinh x = 1 (cosh 2x – 1). -

A: Given,         sinh2x=12cosh2x-1

Q: Find the slope of the tangent line to the curve: 3.) Ħan0 at 0=n/4 4.) sin20 at 0=x/3 5.) rcos20 at…

A: Use the formula for the slope in case of polar coordinate.

Q: Integrate |sin2x cos 3xdx

A:

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 + 8 8 sin(3x)cos(3x) , sin(2x)cos(2x)…

A: We need to evaluate integral.

Q: aie of sin(4x)+8 cos(x)+2x2 cos(4x)+8x sin(4x)+.

A:

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: One side of a right triangle is 150 m long and its adjacent angle is π/3 radians, with π/60 radians…

A: Possible error

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: 3. Prove that cosh (2x) = cosh²x + sinh²x %3D

A:

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

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

A:

Q: 3. Prove that coshx – coshy = 2sinh () sinh ().

A: As per honor code we are entitled to solve only 1 question at a time so I am providing you the same.…

Q: 7. Integrate. S tan50 sec³0d0

A:

Q: In estimating L cos (5x) dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

A:

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: cos 2x +1 sm 2x Prove that Please show proper steps sin 2x 1- cos 2x

A: We know the formula (1) 1+cos(2x)=2cos2x (2) 1-cos(2x)=2sin2x (3) sin(2x)=2sinxcosx

Q: 1-tanh² x sinh(2x) O cosh(2x) O sech(2x) O csch(2x) O Leave Question O |

A: To compute1+tanh2x1-tanh2x

Q: Use Simpson's rule with n = 4 to approximate 3 cos(x)

A:

Q: 292 cos(25 x) cos(108 x) cos(4x) dx = x)) dx O 73 cos(-86 x) + cos(-78 x) + cos(128 x) + cos(136 O…

A:

Q: If Z= sinh () x- show that:

A:

Q: In estimating / cos(5z)dr using Trapezoidal and Simpson's rule with n= 10, we can estimate the error…

A:

Q: In estimating | cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error…

A: We have to find the error in trapezoidal and Simpson rule .

Q: y cos?£ 1-CUSE tanzz

A:

Q: Two identical sinusoidal waves with wavelengths of 6.00 m travel in the same direction at a speed of…

A: Calculate the time period T. λ=6m and v=2m/secv=fλv=1T×λT=λv=62=3Hence,T=4sec

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

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

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, ) Hint: you may want to differentiate these…

A: We can prove these by two ways . First is by using derivatives of functions. And second by using…

Q: Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) , sin(2x) + + C 12 8 8. 4 sin(6x) sin(2 x),…

A:

Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1

Q: This is exercise 26 of Section 7.5 page 460. Find the integral æ* sin(æ²) dx-

A: Answer is given in the picture

Q: 11 tanto-2 tan Bz1 show that 2 coste- Cos B20

A:

Q: (b) Prove that : - 1) (coshx)2 - (sinhx)2 = 1 ,2) coshx - sinhx = e, 3) (cothx)2 -1= (cschx)2 %3D

A: Use hyperbolic  function

Q: sec 1.)S Intanßtanß dß

A:

Q: In estimating : cos(4x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

A:

Q: 6. Show that in the interval (0, 7) 4 cos 2nx sinx = 元 Σ 4n2 -1

A:

Q: In estimating | cos(4x)dx using Trapezoidal 1 and Simpson's rule with n = 6, we can estimate the…

A:

Q: 13) Estimate tan(44°) using linear approximation.

A: