Which of the following correctly expresses 2sin(2β)cos(4β) as a sum?

Q: cos 2t dt 2.

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

Q: Integrate the following. 2. S

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Q: 3- S e J coscinx) d

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Q: 6/155) cos 0, 1+ cos 29

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Q: 0 <m < n such that am = e. (Hin

A: Subgroup generated by any element in a finite group will have at most n element where n is order of…

Q: now tha 4.31) and that cov(y-ΣΣ) Σ- as in 4.32). – E,. x) = ΣΣΣ as in (4.32). %3D

A: E(y-∑yx∑xxx) = E(y)-∑yx∑xxE(x) = μy-∑yx∑xx μx AS E(y) = μy E(x)=μx ∑yx is the covariance marix…

Q: Solve the following homogeneous ODE 2ху 8. y' = ya-x2

A: Given differential equation is an homogenous equation

Q: Which expression below can be obtained from 22sin*a by using a power reducing formula? Select the…

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Q: Q- het m = 10-81 +3. compute the Suron E Sin (mntt) cos (m +2) (m+1)"+ COS n+1 n=1

A: The sequence of partial sums is very important in evaluating the sum of an infinite series. The…

Q: 2. an = 3 +- + cos(2nz) п 3. an = In(14n – n) – In(3n° + 2n² + 1) - |

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Q: 2. : (a) For n ≥ 1, show that 1+z+2²+...+ 2¹: (b) Hence, show that 1+ cos 0 + cos 20 + 12+1 2 #1 7…

A: Solution:

Q: Evaluate the Integral 3sin2ß) 4 cos2ß dß. A 30 - (4 – 3sin2f) 5 + C (4- 3cos28) 5+ C B 30 -(4-…

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Q: 24- 'ח 27 Given : x³sin(2x)dx = Find b if sbsn 64

A: ∫0bx3sin(2x)dx=27π2-2464 First finding the indefinite integral ∫x3sin(2x)dx(integration by parts…

Q: 11) (3ysos(3a By cos(3

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Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

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Q: Find all the values of In(4 – 4j). What is its principal value?

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Q: -ST In 0.2 %D 1-8

A: To solve the equation for δ, first we remove square root by squaring both sides and then get an…

Q: The value of the integral . rcos ydydr is cos 8 cos 4 b. - cos 8+ cos 4 2 1 c. cos 8 – cos 4 + Cos 8…

A: SOLUTION-

Q: 3. Verify that u = e cos x is a solution of + 8² = 0

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Q: cos 15.4- cos 9A A) 2cos 3.Asin 124 C) -2sin 124sin 3A B) -2cos 3.Acos 124 D) 2cos 3.Acos 124

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Q: In ([0, co), Tdisc), Ext(N) = a. N O b. [0, 0) –N С. O d. (0, co) О е. [0, оо)

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Q: Give all solutions from [2, 14]. 2 cos(x- n) = v3

A: Consider the provided question, We need to find the solution of  2cosπ3x-π=3 between the interval…

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: (1) List the first 5 terms of oach of the soquence (a,). n+1 (d) an = sin An = 3n- - 1 3(-1)" (e) a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: if क f z₁ = 2 ( 65 30 +isin 30) and Z₁ = (Cos60 +isin60), Find the following Z₁ * Z₁ له الله چه

A: Here we have z1=2cos30°+isin30° and z2=13cos60°+isin60° We have to find 1) z1·z2 and 2) z2z1

Q: Find the DE of the following by eliminating the arbitary 1. tanx-2x3y=c

A:

Q: dq + q = 4 cos 2t dt

A: Given that, dqdt+q=4cos2t On comparing with general equation dydx+Py=Q ⇒P=1, Q=4cos2t, dx=dt…

Q: COs 05

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Q: cos 4x = cos 6y, which of the following is correct? 2x + 3y = 90⁰ 2x + 3y = 270⁰ 2x + 3y = 180⁰ 2x…

A: Given query is to find which statment is correct.

Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

A:

Q: What is R2 if beta = 0?

A: Solution : Consider a linear regression model, Yi = α + βXi + εi It is known that, coefficient of…

Q: Use the product to sum formula to evaluate cos 11tt/12 cos t/12 (2+v3)/4 -(2+v3)/4 O (2+v3)/2…

A: This question is based on trigonometric formula.

Q: 1. If Beta = 0.26, what is the power of the test? * %3D O 0.74 O0.84 O 0.26 O 1-alpha

A: According to the provided information, β=0.26

Q: Express as a product a. cos 5t + cos 6t b. cos x + 2x

A: We have to express as a product  (a)  Cos 5t + Cos 6t We know that  CosC + CosD =…

Q: 3. Show f cos2n Ode 277 sin-n Ꮎ ᏧᎾ = 27 22n 11.1 n = 1, 2, 3,...

A: Using Cauchy integral formula.

Q: 2. Which of the following is the complementary solution to the given ODE. y" + 4y = cos(2x) -2x А.…

A: We have to find complementary solution of given differential equation.

Q: 5.) Which of the following illustrates 4D E F inscribed in O M?

A: To determine which  of the following illustrates ∠DEF  inscribed in ⊙M

Q: 2 7 4 is S cos' xsin xdx 비

A: See the details solution in below

Q: -) {in(6n) 2 n=2 =) an = In(6n³ – 4) – ) {cos(nt)}0 n=0

A: e) an=ln6n3-4-ln3n3+5n2-7n+8 determine if the series is convergent or divergent? if convergent find…

Q: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

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Q: Find o v' (+2) dt. Show the computations that lead to your answer

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Q: Which of the following is one of the correct steps to evaluate cos³ dt to obtain the correct…

A: In this we have to find which of the following correct steps to evaluate the given Integral.

Q: Find an expression of for y = 2*ev*, Hint: (a*) = a* . (x) · In a

A: We can find the derivative as below

Q: Compute for the value of tanh-(1 – i) In 5 my + 2.13i In /2 + 2.13i Inv - 4.25i 2 In /2 + 2.13i

A: Let, tanh-11-i=z. Thus, solve for z:…

Q: Evaluate L{cos (3+2t) } scos3 + 2sin3 A s2+4 scos3 – 2sin3 B s2+4 (s+3)2+4 (s+3) 2–4

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Q: Evaluate: Jx?cos(2x)dx A None of the above 2x2sin(2x) – 2xcos(2x) + sin(2x) B + C 2x²sin(2x) +…

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Q: Find The coefficient cof x ard X in The expasion of Ox°-)

A: We have to find the coefficient of x9 and x10 in the expansion of given series.   According to our…

Q: Compute the following. π/4 | 7sin(x)+12cos(4x)dx n/6

A: Given f(x) = 7 sin(x)+12 cos(4x) Limits are π/6&lt;x&lt;π/4

Q: 2n (1-cos0 5. Evaluate p³cos²0 dpd0

A: