1. у%3 Sin 5x +1 2. y = cos 3. у 3 tan (7x-1)

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

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Q: Eliminate n from their equations  X= sin n + tan n and y=sin n - tan n

A: With the help of trigonometric identities we eliminate n from the equations.

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: 16. Calculate (sin 0 , 0 , cos 20) d0.

A: ∫0π< sinθ,θ,cos 2θ>dθ

Q: So 3 3 cos y sin y dy

A:

Q: 6. Find Sin 5x (b) y = THcos 5x dx

A:

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: If y=sin 2x sin 3x sin 4x then find y''

A:

Q: 1 Differentiate y = tan 8x + cos ,x

A: Using differentiation rule,

Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

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Q: 2. S tane sec4 0 d0

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Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…

A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

Q: S 3. sin°ydy 1+ cosy

A:

Q: 1. [(10 cos2x - 5 csc2x +4 tan2x + 8 sin2x)dx

A: Integration properties help to find the integration of the given function. Integration property for…

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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Q: |12 sin(4x) cot(cos(4x)) dx

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Q: 25. y = 2 cos yA 2 28. y = 2 sin ) -2TT -2 31. y = 3 sin (2x) (A)

A: In this, the amplitude is multiplied by 2 and x is scaled by 1/2.

Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: 2 + 3 sin 2x The value of 3x dx equals 1+ cos 2x

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

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Q: Differentiate y = sin 20 cos 20

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Q: 12) Given y = 2 sin2x Period = b 3D Period = 1-- -1- -2

A: Solution: Give y=2sin2x Now use the form [a sin(bx-c)+d] That implise a=2 and b=2   Period =…

Q: 4. (cos? 6x + sin 6x – sin³ 6x)Zdx (Hint:factor out sin 6x first) 3 -

A: We need to evaluate ∫cos26x+sin6x-sin36x12dx Using the identity  cos2y+sin2y=1⇒cos2y=1-sin2y…

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: .15 S sin²4y cos>4ydy

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Q: If y = sin 2x sin 3x sin 4x then find y".

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Q: 18) * x-sin 2x ; find y" y y" cos 2x y = 7 %3D Option 3 O Option 1 y" sin 2x

A: First we find out first derivative with respect to x then we find out 2nd derivative with respect to…

Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: Find y if 4 In(sec y + tan y) – 2x – sin 2x 9

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Q: 2. Show that y = ce sin

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Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: 5. (1+ cos 3x ) dx

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Q: Suppose y=sin x, what is x-value between 2pi and 4 pi corresponding to y-value of -1

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Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: (12) ſ sin²x cos²x dx sin4x sin4x 8. 4 16 Option 1 Option 2 sin2x - 8. Option 3

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Q: 4). | (5 sin 2x) dx = 2

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Q: Find sin 2' COS and tan 2 - 2' 1 and 0° < 0 < 90° cs 0 =

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Q: 3. Find sin y if sec y = √30 5 and tan y < 0.

A: Given, secy=305&gt;0 and tany&lt;0 We know that sec function is positive in first and fourth…

Q: 3 3m 2. sin ---- sin(20) = b. cos(20) = a.

A:

Q: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: if csc(x)=12/7 (in quadrant-1)  sin(2x) = ?

A:

Q: 1. If 0° <0< 90° and sin 0 = , find sin 20. %3D

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Q: 1. Solve the DE: tan xsin y y'+(3 tan x-2 cos y) secx= 0

A: Given tanxsinyy'+3tanx-2cosysec2x =0 tanxsinydydx+3tanx-2cosysec2x =0 3tanx-2cosysec2xdx+tanxsinydy…

Q: If y = sin (sin x) show that y"+ (tan x)y +y cos x = 0.

A: Answer

Q: 1-Show that a +B sina – sinß = 2cos(- 2 a -B

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If y cos (sin2x), then -6 cos (sin 2x) sin (sin 2x) cos(2x) dy dx True False O

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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.