C 3y° cos xydydx = O 3(1-Cos3) 5(1-cos3) cos3-1 O 5(1-Cos3)

Q: 3. Solve: cos xdx + ( 1+ | sin ædy = 0 %3D

A:

Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one…

Q: cos 5x dx 2. S 3 + sin 5x

A:

Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

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A:

Q: Solve the equation below. 3sin x – V3 cos x = 0 if 0 < x < 2n

A: Here given as 3sin x- 3cos x=0

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A:

Q: 2. S tane sec4 0 d0

A:

Q: f/² sin (1) 4x ; (**) sin (²) COS (²) dx (Consider initially the first 2 terms)

A: ∫vn dv =vn+1n+1+C

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

A:

Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 57 sin 6 (똥 + 미) =글(c8 )%3D (cos w - V3 sin w) -

A:

Q: Q4/ Find only five of the following: 1-[t cos at 2-f(6 sin 2t – 5 cos 2t 6. 3+2S 3-[( 3 t5 – 2 t3+ 4…

A:

Q: symbolnc cos(6x) cos(11x) dx = cos(11) sin(6x) + C ncorrect

A:

Q: /2 2 cos x dx 1+ (sin x)² -n/2

A:

Q: Evaluate the integral

A: Let the given integral be y - y = ∫6sin2x1+cos4xdxy = 6∫sin(2x)1+cos2x2dx…

Q: S sin° (3t) cos(3t)dt Evaluate COS

A: To determine the value of the integral.

Q: 5. 1-cos2y 1+cos2y dy

A:

Q: Find all solutions of the equation 2 cos x – V3 = 0. on interval [0, 27) x =

A:

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

A:

Q: 1-cos 3x +C 3sin 3x dx 2. 1+ cos 3x

A: We have to prove given integral.

Q: Solve 2 cos (w) +5 cos(u) +3 = 0 for all solutions. where keZ

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Q: 3nt 3nt s = sin 2 + cos 2 %3D

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: (2) S sin6 x+cos6 x sin³ x cos³ x dx

A: See this solution in below.

Q: 2 cos(2z)- V3 = 0.

A:

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: cos 4x cos 2.xdx 3.

A:

Q: dx+ 1.5 +§ (5r – 15)cos (5х — 15)сos dx COS 1.5 Jo (5x)cos 1.5

A: We have to apply the integral by parts.

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: 8. 5 cos²x - 3tan x COS X dx

A:

Q: 2y 1 + cos 3x - 4.x + 3y sin 3.r = 0 %3D dr

A: 2y-1x+cos3xdydx+yx2-4x3+3ysin3x=0 Rewrite the above ODE in the form of Mdx+Ndy=0.…

Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: We have given integral, I=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

A:

Q: 4. Find all solutions to the equation 4sin x cos x = v2 in the interval [0,2]

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Q: sin 2t cos 2t dt 1 +3 cos 4t

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: Why is I cos 0 |never greater than 1 in the first place?

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Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

A: Use the following formulas to calculate the Fourier cosine transform. Fee-ax=2πaa2+ω2…

Q: Q.3 Solve he fotlowing dfferen tial eyuetions ニ Cos x 3,

A: For (1) variable and separable method is used. For (2) since, it is a linear differential equation…

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

A: we have to find the general solution

Q: 2 0 sin 2x dx 3-cos2x

A:

Q: B. - sin3 p cos 3p sin 3p cos 6p – sin 6p cos 6p H. sin 6p - cos 9p - sin 9p K cos 9p sin 9p LL

A:

Q: e sec(3x+2) sin(3x+2) dx Evaluate cos² (3x+2) -3e sec(3x+2) + . O 1 ,sec(3x+2) + C 3 1 ,sec(3x+2) 3…

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Q: 2 Sinx Cose - Cosx eE 2/CoS 3% t Cas ex

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

Q: Find the solution set of sin²(2x) – cos² x = 0 on the interval [0, 2m

A: Here we have to find the solution set of sin2(2x)-cos2x=0 on the interval [0, 2π]

Q: 2. (sin20 - 2p cos O) dO = 2dp

A:

Q: * /2 2 sinh (sin 0) cos 0 d0

A:

Q: Find LT of (i) e-*(2 cos 5t – 3 sin 5t) (ii) e²ª cos² t (iii) e“ sin 2t cos t ,4t

A:

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.