Consider the Seq. {an} Which Begins cos(3), Cos(7) cos(1), cos (14), cos (17) COs(3) 3. 27 81 243 a. an explicit formula and GIve an give the Initial value on. not. 6. Stateif the seq. divergen t is

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Q: cos 2t dt 2.

A: Given:             ∫-π3π31-cos 2t2 dt Take the constant out: ∫a·fx dx=a·∫fx dx…

Q: -)Find the valne of cos 15°. Further s ho w thet Cos 15 <0. Conc lude thut Cos 15° 7 cos 15. (Note…

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Q: 3 Find the exact values of s in the interval [0,2x) that satisfy the given condition cos 2s = л 11т…

A: Topic : trigonometry

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A: Solution:- differentiate with respect to t.

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Q: Evaluate (6+3 cos x) dx using Simpson's 1/3 Rule (n=4). O 12.114624 O 12.42518 O 12.386215 O…

A: Simpson's 1/3 Rule n=4: ∫abf(x) dx≈h3f(x0)+4fx1+2fx2+4fx3+fx4 Where                  h=∆x=b-an

Q: Exercise 3

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A: s(t)=3 + 2 sin4πts'(t)=0+2 cos4πt (4π)s'(t)=8π cos4πts'(t)=08π cos4πt=0cos4πt =04πt =π2, 3π2,…

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Q: 5. Find the period of the function y= 5 cos(3a). %3D O 3T 5 O2T 3 占5

A: Trigonometric function

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Q: The amplitude A and period T of f(x)=5sin(4x) are..................... and ....................

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Q: Q3) Express cos(x²) as a power series. а) 1. 2! + 6! 4! x10 + 3! x14 +. 7! b) 1– 5! c) 1– x5 x7 + 7!…

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Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

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A: The detailed explanation and answer is given below:

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.