1 )if y=tan( 2x + 3x) then y ()= a) sec?(2x +3x)(6x² + 3) b) (2x+3x)(6x? + 3) c) sec-(2x3 + 3x) (6x²) d) sec?(2x3 + 3x)(3) 2) if y = then y= 3)if y =x+7x? +4 then y= a) 5x*+14x b) 5x* + 14x + 1

Q: 3.2 Differentiate 3.2.1 y= x¹ tan 3x. 3.2.2_y=ln(2x²+1). e +1 3.2.3 y=- -1 the following with…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2 cos(4x) – 4x? – 2 - - 8. lim x→0 sin(2x) – x2 – 2x -

A: Topic = Limits

Q: O yotan' (x'+3x-s)+ sin (x²s 2x -1)

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

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: sec 0 + In - 22+3 = -3 2 In y + 327 - 4 = 1+ cos 20 2/1+ (tan 0)2 + 2ln y+2 -3

A:

Q: In [tan (5 + )| +o sec x dx 4 2

A:

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 7/4 2 sec(6x)dx sin(r In(x)) 13x 1

A: (b)

Q: tan(2x) O 1+ cos(4x) sin(4x) O cos(4x) – 1 sin(4x) O 1- cos(2x) sin(2a) sin(4x) 1+ cos(4x)

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: tan x ....+ C sec x Select one: 3(sec5/3x) 3 5 sec x 3(sec5/3x) 3 V sec x 2(sec1:5x) +2y sec x 3 O…

A: Use substitution method to solve this

Q: 15. 2sin3x + sin²x - 2sinx -1 = 0

A: Given equation, 2sin3x+sin2x-2sinx-1=0

Q: 7. c(x) = x cosx +2 tan x sin x 8. y= 14tanx 9. y= secxtan x

A: It is known that, if a function f(ax) is given than the derivative of the function is defined as,…

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: two students playing the same game.  the difference in points that each scored can be modeled by the…

A: There may be use of algebra or calculus...

Q: Place these trig equations into general form: 1. y = sin (4x + 3π/2) + 2 2. y = cos (3x - 6/7) 3.…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2 cos(5x) – 5 x² – 2 sin(3x) – x2 – 3x - lim - - (Write your answer in the given box)

A:

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: 2dx 2 2 cos x√ 4tanx - tan x S-

A:

Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

A:

Q: 1. 3sin x = sin-' (3x – 4x³), xe 2 2.

A: Note- as per our guidelines we have to answer only first question if multiple questions are…

Q: Suppose that x = 2 tan 8. What is sec e equal to in terms of x? √4+x² 2 √4+x² X Option 1 Option 2…

A:

Q: 2 sin 2x - 1 de hift -2AT Chift

A: The standard form of the trigonometric function ,y=asinbx-c+d. The given function is y=2sin2x-1.…

Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

A:

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: tan(6 x) sec²(6 x) d x. Compute 9

A: Topic : integration

Q: 6. 1 %3D 2tanx secx - tanx secx + tanx

A:

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

A:

Q: (B) Evaluate tan (3x +1) sec³(3x +1) dr

A:

Q: 7/4 (sec² x – sin x)dx

A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

Q: 1)f sin 4xdx cse(2+3lnx) dx 2) fcos 2xdx 7)f sec (4x)dx 3) fx tan(2x2 +1)dx 8)fx csc| 3- dx 3 dx…

A:

Q: 3π/4 9) 8 sec 0 tan 0 do -T/4

A:

Q: 6xsec 3x 2-If y = (tan3x)" prove that = (tan3x)²"| + 2ln(tan3x) %3D %3! tan3x

A:

Q: 13. Differentiate 1 3 y = 2x2 + 6x3 – 2x2 а. 2 6 b. у 3 —t 4 3 x2 3 x4 x2 'x3 y = sin³ [cos(tan(3x –…

A:

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 8. The reason why cos²(x)-2=0, [-27,27] has no solution is because cos(x) is undefined for x =+ /2.…

A: Given that,  Cos^2(x) -2= 0 Cos^2(x) =2  Cos x= +-√2= +-(1.414)

Q: Establish the identity.

A:

Q: 5. 4 f sin + 2zdz

A:

Q: 1- cos 4x sec2 2x – 1 = 1+ cos 4x

A: Question is solved.

Q: 1- у-In (x' +4) -x tan' -1 х 2 y = e2x²-3;

A: We will solve the following

Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

A:

Q: y = cos (tan (3x)) A. -9cos? (tan (3x))sin (tan (3x)) sec (x) B. -9cos? (tan (3x))sin (tan (x))…

A:

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: Suppose f(x) =sin(3x- 2). Evaluate: A -3cos(3x- 2) +C B ® --cos( 3x – 2) +C © ;cos(3x – 2) + C D D…

A: Topic = Integration Correct option = B

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

A: 1st derivative of 1st 3 trigonometric function are :

Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: Suppose f(x) =cos ( 3x – 2). Evaluate: A -3sin(3x - 2)+C ® -sin(3x- 2) + C sin(3x – 2) +C 3sin( 3x –…

A: Given function f(x) = cos(3x-2)

Q: cos( 2 tan1 (x/ 4)) = Select one: O 2x ( 16 - x2 )0.5 / ( 2x2 - 16 ) O 2x ( 16 - x2 )0.5/ ( 16 - 2x2…

A: Solution:-.

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.