Verify the identity. 1- cos(a) sin(a) sin(a) 1 + cos(a) 1 + cos(a) 1 + cos(a) 1 - cos(a) sin(a) 1 - cos(a) sin(a) 1 (sin(a)) (1 + cos(a)) (sin(a)) (1 + cos(a)) sin(a) 1 + cos(a) II

Q: 6 First Last Prove that 2 1² +2²+...+n² = n(n+i) (²n+1)/6) for positive integer. n. www

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Q: 7. Find the mzCVU. 63 3x x+13

A: Find the solution below:

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Q: Find the exact radian value. cot-1 V3

A: The range of  is Now, Therefore,

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Q: 3) Given: n(U) = 60 n(A) = 35 n(B) = 20 n(An B) = 4 Find n(A u B)'. %3D %3D %3D

A: Given: n(U)=60n(A)=35  n(B)=20n(A∩B)=4

Q: 3- CHIPUK FOR exactness anD ly xtxy cotx)dx tray Obtain THe = 0 General SOLUTION

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A: Given: ak=ak+2.ak= a-k∫-0.50.5x(t) dt = 1.∫12x(t) dt = 2. The period T = 3.

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Q: Problem 4: give the general solution for the following equations 2x y"+5xy'-2y% D0 :x>0

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Q: tanh(lnx) = x² - 1 x² + 1 22

A: I am attaching image so that you understand each and every step.