☺ cosh"z= Loy {2+/2

Q: The integral S dydx represents what?

A:

Q: Prove fulay's formule -CstD)4isin LO)

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Q: 20. What is the value of SSy? (SHOW YOUR WORK)

A: For the given data ( 20 ) SSY = ?

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: +9 =zxe %3D

A:

Q: 53. Find the value of 1 dx using weddle’s rule. 1+x?

A: Weddle's law is a formula for solving numerical integration.

Q: Stoke's theorem

A: We have to verify the Stoke's theorem for the given vector field. It is given that

Q: Integrate sin" uelog(cosu) . Where n=666

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Q: Evaluate the integral. 3 9earctan(y) dy 3 1+ y? 3

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Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: 3 dx by Simpson's rule breaking it into 6 intervals. Evaluate 2+x?

A: We have to evaluate the integral ∫2532+x2dx by Simpson's rule-breaking it into 6 intervals.

Q: Evaluate the integral. "T/3 8 sec 0 tan 8 de IT/4

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Q: Prove Sinhu.sinhv=1/2 (cosh (u+v)-cosh (u-v))

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Q: Sinx Show that gy (x) = conyergos !ナx uni formly to xe Ci,6]

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Q: + Bsin z Differentiate @ wi th xespect to x - - S"d (use dy A sinz + B cose

A: Given that: y=Acosx+Bsinx

Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 & ∆x=2

Q: Evaluate the improper intergal 1 dxusing the residue theorem. (x2 + 9)?

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Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: Use the fundamental theorem of calculus part 2 to evaluate the integral: 2 dr Note: Round to the…

A: Evaluate the integral using Fundamental Theorem of Calculus Part 2 : ∫169xdx

Q: Prove that Cosh [m(t-x) Cosh mh 2mL 2mL

A: The given data is: To prove: emx1+e2mL+e-mx1+e-2mL=coshmL-xcoshmL

Q: 23.) Use Newton's Method to approximate V7 correct to six decimal places.

A:

Q: 1 Proof (I): (sinhx)' = Vx? +1

A: For direct Proof:

Q: Evaluate the integral. HINT: [Use a shortcut.] 7 x2 dx /6 x3 1

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Q: vx +1 Sinh Cschx = In 671 %3D %3D

A: First, let us evaluate sinh-1x.  Let  sinh-1x=zx=sinhz It is known that sinhx=ex-e-x2 Therefore,…

Q: None Q2) prove that cosh(x + y) = coshx coshy + sinhx sinhy

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Q: Explain why the fundin f(2)= 526+ z COSZ - z’e? is entire ?

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Q: B. %23 Explain how you can prove that LA LC.

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Q: (b) Use the definition to show that cosh(-x) = cosh(x). + e-(-x) cosh(-x) e-X + eX

A: Please refer the attached image for complete solution. THANK YOU.

Q: ar is exam. pility that th

A: The probability of producing defective cars given car produced by factory 1 is, PDF1=0.02 The…

Q: 8. eeer +eyty dy

A:

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

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Q: on inteaurron (ii) Determine the general formula for V Pn.

A: Numerical analysis.

Q: Example. Sind Susface area of Z- S4-X2 above ২-

A: Recall:  Surface area, A=∫∫R1+zx2+zy2dA We have, z=4-x2,  R=[0,1][0,4]

Q: Apply Gauss's theorem to evaluate. A

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Q: can this be evalnated by using L'HUSpital's Rule? im x2 3x+ 2 sin(x x)

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Q: What is the area to the right of z = 2.25?

A: Introduction: The random variable, Z usually denotes the standard normal variable, which has…

Q: Evaluate 0, dx by dividing the interval into 10 equal parts 8х-5 by using Simpson's one - third…

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Q: What is wrong with this calculation? 1 dx In |x||, = In 1 - In 1 = 0 - 1

A: The integral of 1xwith respect to x is log(|x|). where x≠0, cause if it is zero then function became…

Q: Fn C) = show sin nx ス|L Sinnx

A:

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: find the area of the limacon: r = 2 + sinx

A: To Determine: Find the area of the limacon:

Q: 27 Use the Fundamental Theorem of Calculus to evaluate S (Vx2 -) dx. 8.

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Q: Evaluate the integral. ∫π/6  π /2 Cot2x  dx

A: The given integral is y=∫π6π2cot2xdx A function can only be integrable if the domain is defined.…

Q: 4 da 25 + z? Integrate:

A:

Q: 39.) Show how to use (a) trapezoidal rule and (b) Simpsons rule with n=4 to 4 approximate ſ,"…

A: There are different methods of solving a definite integral without integrating it such as the…

Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

A:

Q: nly.

A: Given equation is :  -√3 sin(x) + cos(x)

Q: Evaluate the improper intergal 1 -00 dx using the residue (x² + 16)3 theorem. 00 2

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.