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![Question 2
Evaluate the Integral / (4- 3sin2ß) 4 cos2ß dß.
(A
- (4– 3sin2B) 5+ C
30
-(4– 3cos2B) 5+ C
30
B
- (4– 3cos2B) 5+ c
30
- -
-(4– 3sin2ß) 5 + C
30
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- If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A + (B + Cx)e-2x + (D + Ex)cos2x (c) Ae* + (B + Cx)e-2x + Dcos2x + Esin2x (d) A + (B + Cx)e-2x + Dcos2x + Esin2x O e. None of these O a o d O bموضوع الدرس: Find the (BY COS X + 4X 3 C 8 + 2x S * 6 ution Jdx + (3 $ inx+3) dy ap3. Differentiate a) (x3+2x)e(2x+1) b) cosxsinx
- Question 3 Evaluate the Integral J (4-3sin2ß)4 cos2B dß. -(4– 3sin2B) 5+ C 30 A -(4- 3cos2B) 5 + c B 30 -(4– 3cos2B) 5 + C 30 -(4– 3sin2ß) 5 + C 30 DIf the expression is written in the form ax'y®, then what is the V16z*y+ product of a, b and c?Let 2 = A + iB and w = B+iC. %3D real 1) Calculate the real and imaginary parts of (2/w)(A/(B+C))_ imag
- 2Ox -4Dx Dy +40y)u = Cos (2X+y)+xy Ans. U= i(y-2x) +x2 (9-2x) + Coslzx+y) + キー2Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A. y" - 25y = 0 O B. y" + 25y = 0 O C. y" - 5y' + 25 = 0 O D.y" + 5y' - 25y = 0Find all the roots of z²= - V3-j A z=2 (cos – +j sin-) 6. 6. z=V2 (cos (- + 2kn) +j sin (- 12 + 2ka)), 12 -5л -5R © z=V2 (cos ( + ka) +j sin ( 12 - + ka)), k=0, 1 12 -5x 5л z=V2 (cos -5R + 2km) +j sin(+2 2ka)) k= 1,2 + 2kn) +j sin ( 6. 6.