(1) Use the Exterior Angle Theorem to prove SAA. That is, prove if

Q: Q2 Which of s1852 forms abaris Jus tify and find the (corolinates g V=() relative to that bazis:

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Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: Show that sin a – sin b < Ja – b), for all a and b. (Hint: MVT) use -

A: Mean Value Theorem :  The mean value theorem states that a function f which is continuous on the…

Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

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Q: Theorem-e Gaey-Hemiltion)let Aexz motrix

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Q: Let u = e-7*sin(7y). Then a harmonic conjugate of u is

A: If two given functions u(x,y) and v(x,y) are harmonic in a domain D and their first-order partial…

Q: tagrange interpolation polynomial for " the" qunction y = Sinł e, Construct the taking the points…

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Q: 2ove 기 whore c B the the circle 12/=3 ere Z =30 to Z = -3.

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Q: Leb Fur =ue Show thab f6/0 )c

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Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: e) fsin' xdx fcos"a 4 3x e

A: Given, (e) ∫sin2x dx   (f) ∫cos2x -4e3xdx   We have to integrate .

Q: Find all angles between 00 and 2π2π satisfying the condition cos θ =1/2

A: cosine is positive in first and fourth quadrant.

Q: the cente C is circ le to a of orgin Coordinates and vadius 2

A: I have solved using residues

Q: Explain Perron-Frobenius Theorem.

A: According to Perron-Frobenius Theorem, there is a single largest real eigenvalue for a real square…

Q: Show that [0, 1]~ [0, 2]. Show that (-1/2, t/2) ~ R. (Hint: Use a trigonometric function.)

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Q: Find d cos Z dz

A: Use the properties of differentiation and the derivative formula ddxeax=aeax, to calculate ddzcosz,…

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: If sin A = then Find versin A.

A: We have to find

Q: Q:t. Evaluate Cos ny dy

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: Prove that (AUB)UC = AU(BŪC).

A: To prove that any two sets are equal, we need to prove that the first is a subset of second and the…

Q: Cos X 2)

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Q: on (0, 2π). Show that the set of functions cos nx, n= 1, 2, 3, ..... is orthogonal

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Q: AB is tangent te OC at point A. mod

A: Given : AB is tangent to the circle at the point A. ∠ABC = 37°

Q: Find the horizontal and vertical tangent lines of the cardioid r = 11-11 sin(0). (Express numbers in…

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Q: let foas= b"tz0?4acty fnd the Prst three denivahes.

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Q: 9. Use the Residues Theorem to calculate 1+ sin² ª -de. Sketch the contour you used.

A: We have to find integral using Residue Theorem.

Q: sin z = -isinh (iz) %3D ulgn

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