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Q: Explain Clairaut’s Theorem.

A: Clairaut's formula for the acceleration due to gravity g on the surface of a spheroid at latitude φ,…

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

A:

Q: Use De Moivre's theorem to solve:

A: Given,  x4-1+i=0

Q: السؤال 2 when hv hvo Electron is ejected from surface of metal ylgn O

A: Since we know that​ The ejected electrons have a distribution from 0 to  hv-hv0

Q: x³dx S 17. √(1-x²

A:

Q: Stoke's theorem

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

Q: tan 44.1°

A:

Q: Find the of Integ ration f(u)= tanu + Cos 2u. %3D

A: Given information is :

Q: Fimd dy using Implict die Differentiaten 3xニ3 2. 土

A: Given equation is x2y+3xy3-x=3. To find dydx using implicit differentiation. Solution: Implicit…

Q: sec sec |tar xp xp Suea () 2asS

A: We put sec(π/x2)=u and differentiate both sides with respect to u .thus we get du and value of…

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: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

A:

Q: 8- 1 į ult1)}

A: We have to use integral formula.

Q: fond solu tion of Bernoullidifferential equation %3D

A: Given y'+2xy=-xy4

Q: What is ll = ( as")* %3D X= ()3....) where Kn=2"2 %3D

A:

Q: Integrate from 0 to 2

A:

Q: Compute without using a calculator.

A: Given expression: sec-1sec3π2

Q: What do you mean by euler's theorem?

A: Euler’s Theorem is a generalization of Fermat’s little theorem dealing with powers of integers…

Q: Compute without using a calculator.

A: Given expression : sec-1sec3π2 In the interval  0,π ,  sec-1secθ=θ  In the given expression ,  θ…

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

A:

Q: use in tergration by parts to solve

A: Given,  ∫012xcosπxdx  We have to find the integral using integration by parts.

Q: compute without using a calculator. sec−1(sec 3π)

A:

Q: Inn NTT <os 2. n=1

A:

Q: Find the tangent of 60°. V3 V2 OV3 01 2.

A: Using the tangent relation, it can be written that tan x=sin xcos x.

Q: State Fubini’s theorem.

A: Statement of Fubini's theorem

Q: In your own words, describe Rolle’s Theorem.

A: To describe: Roll's theorem

Q: Use linear approximation to approximate cubrt(28)

A:

Q: Find dy/dr. y = In(re")

A: Given To find Derivative of y= ln(xex)

Q: 3/8 d. rategy. Show

A:

Q: At what wräluer of * id fG)= メ-メ-2 ズ- 4 discontinuous?

A: The function will be discontinuous if the denominator is 0.…

Q: State Green’s Theorem

A:

Q: Use the linear approximation to estimate In (√0.99).

A:

Q: | (о + 1) In (») da

A:

Q: Compute Jo Ji1+v¥ 1 dx

A: We need to evaluate integral.

Q: he divergence of the vect-

A:

Q: Find the first two moments about origin.

A:

Q: line diagnosed as being due to an initial repair that was incomplete. What was the probahility that…

A: HERE USE PROBABILITY TREE define events as follows I = incomplete repair H = initial  repair service…

Q: て フt csc dt 2/13

A: The given integral is, ∫2327tcsc-1tdt

Q: Find dy by implicit diffentiation: %3D

A: Given,           xy=1+x2y

Q: Integrate by parts S xsin2xdx.

A:

Q: Express the first four cumulants in terms of central moments.

A:

Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: Can you explain a definition of Thales' theory and give me some examples?

A: The Thales theorem states that :The diameter of a circle always subtends a right angle to any point…

Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: Calculate L{cosau du du du}.

A: Laplace transform of the function

Q: ENRI Green's theorem to

A:

Q: Finl dy for

A: