Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) = 119 cos(2x) = 169 tan(2x) = %3D

Q: 3 S² x³ cos x ²dx 6.

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Q: nd all values of x in the interval [0, 2x] that satisfy the equation. (Enter your an 9 sin(2x) = 9…

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Q: 5. Find the e xact Value. ) sin I Sin( 6. Wtan sint 3.

A: (1) We have to find the exact value of the following -  sin-1sin7π6Since sin-1 and sin together will…

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A: Introduction: There is an exponential expression for the hyperbolic function. The expressions for…

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A: A detailed solution is given below

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Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

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Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

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Q: Using an appropriate substitution, f sin³ (x)cos®(x)dx is equal to: sinx + C sin13x + C 13 sin11x…

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Q: determine the annihilator of the givenfunction. F(x) = sin x cos3 x.

A: We have to determine the annihilator of the function: Fx=sinxcos3x Annihilator is the set of linear…

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Q: Find the smallest positive solution of cos x = eX; x0 = 1 by iteration.

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Q: sin²x dx cos x

A: To decompose the given integral we have to use some basic trigonometric formulas.   We know that,…

Q: 1. i) Find ſcos 2x +3 sin 3x dx . ii) Evaluate fxe dx. Hence, solve | 5xe e dx. 1

A: To evaluate the given integrals.

Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: (-1)° x*1 (2k –1)! 2k-1 k=0 a) sin x b) cosx c) sin x- x d) cosx-1 e) e* ||

A: Given,

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Q: find sin x cos? x dx 75. 76. sin 2x sin (cos 2x) dx er dx et + e* (e2x + e)² dx 77. 78. x + 1 e* + 1…

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Q: Please find all 0 <o< 2m, for which .. (a) tan (을) =D v3 (b) 3 sin²(0) + 4 = 5 (c) 2 cos(ln(x² + e")…

A: As question has many subpart we are giving solution for first three subpart. If you want solution of…

Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…

A: (b) To proof :   tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…

Q: cos x 3. f sin³x dx (2 + sin?x) + C 3 4. S* x sin 2x dx 1-9x2 5. S sin-1 3x dx + x sin-1 3x + C 3

A: Q - 3

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

A: We find the general solution of  y"-y'-6y=e-x-7cos(x).....(1)

Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: 1. Solve the DE: (cos y- cos x)y' +cos y sin 2x = 0

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Q: 1. S sin°(x)cos³(x)dx = sin13 x а. sin15 x + C 15 13 sin16x b. sin14 x + C 14 16 sin'x с. sin°x + C…

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

A:

Q: 1. Integrate x tan- (x²) dx. x4 + 1 2. (a) Evaluate cos? x sint x dx. (b) Calculate dx. x² – 5x + 6…

A: These are integrals which can be evaluated using standard techniques. The solution typed in LaTeX…

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A: Consider the following functions: fx=cosxgx=a+bx+cx2 f0=g0cos0=a+b×0+c×021=a+0+0a=1 Hence, the value…

Q: 10. Solve algebraically for 0 <x < 2n . 2 cos? x - sin x=-1 a. b. %3D

A: We have to find solutions

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A: Given :∫cosxcos4xdx

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

Q: Determine the general solution of y' = cosx cos y

A: we have to find the general solution

Q: Evaluate D°(cos x +e-2") A cos x – 32e-2x (B) sin x + 64e -2x (c) - sin x – 32e -2r (D - cos x +64e…

A: Here we have to evaluate      D6(cosx+e-2x)

Q: Using an appropriate substitution, S sin° (x)cos (x)dx is equal to: cos13x cos11x +C 11 cos1x cos°x…

A: To evaluate the given integral

Q: Evaluate D6(cosx+e-2*) (A sin x +64e -2 B cos x – 32e-2r (c - sin x – 32e-2x cos x + 64e -2x |

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Q: 1. f(x) = In 5x 2. у %3D 103х Final Answer: Final Answer: 3. y = sin(e3×) 4. у %3 cos 2x (e**-1)…

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Q: Use the identity cos alpha cos beta = 1/2[cos(a-b)+cos(a+b)] to rewrite 2cos3xcos2x as a sum of trig…

A: The given identity

Q: Evaluate D°(cos x+e-2*) (A - cos x +64e -2x B - sin x – 32e -2 cos x – 32e-2 D sin x +64e -2x

A: Explained below

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.