2 sinlbx) +1-cosX lim

Q: If cosh x  =5/3 and x>0 , find the values of the other hyperbolicfunctions at x .

A: Given  cosh x  =53 , x>0

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: 1- tanhx = sech x

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

Q: Determine f'(x) for: Ax) = sin (5x - 2)

A:

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: solve using reduction of order (D^2+1)y=tanx

A:

Q: Find the limit

A: We have to find out the limit of given function Farmula used- (a-b) (a+b) = a^2-b^2 1-cos2x=sin2x

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: b) lim, . sin(8z)

A:

Q: Suppose that 3x² - y² = 1² and y=tsin 0. Find (3). = sin 0 y (1) ¹ (2) and (2) 0 X X

A: Let's find partial derivative of given two equation.

Q: sin 3y lim y→0 4y

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1+3x – cosI 2.) lim tan x

A: limx->01+3x-cosxtanx When we plug in 0 for x then we get…

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: ,3x lim x→0 CO cosh(Зa)

A: By substituting cosh(3x) in givenimit we can get the required value of Function.

Q: tan (5x) x sin3 (2x) 2)- limx-o:

A: we have to evaluate the A=limx→0tan4(5x)xsin3(2x)

Q: Find sin 4.x cos 8x dx.

A:

Q: Exercises To Solve [No.5] Lim 5 9-5 dx -x²8x-15 D "Cosx dx Sin x+25inx+5 b

A: 5)  Let , I = lima→5 ∫a-4 dx-x2 - 8x - 15 Let , us simplify denominator first ,  -x2 - 8x - 15 = -x2…

Q: 1. limg sin(x)

A:

Q: dr (c) (d) lim sint dt

A: Given:

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

A:

Q: (b) Prove that : - 1) (coshx)² – (sinhx)² = 1

A:

Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

A:

Q: In(cos ax) ? limx-0 In(cos bx)

A:

Q: (2 cos 2x+ 3 sin 2.x) 7. evaluated at x = 1 rad

A: Given query is to find the value of the expression at x = 1.

Q: In(sin 4x) \ In(sin 8x) lim x → 0

A: We have to evaluate the limitlimx→0ln(sin4x)ln(sin8x)

Q: Show that limx→0(√x) cos(1/2x) = 0.Show your work.

A:

Q: 4 cos () dx 10. x³ sin3

A:

Q: If Z= sinh () x- show that:

A:

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: 2 , 1 + sinx +. D. cosx cosx il + sin.x

A:

Q: COS X dx 1-sin x

A:

Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: 3 cos xdx 1-sinx

A:

Q: 4 dx 1– cos(4x)

A: We to evaluate the integral ∫4 dx1 - cos 4x

Q: Find the value of : sin3x lim x→0 2x

A: This question is based on Limits.

Q: Find cos(2x) Given that sinx= 4/5 and 0<x≤ pi/2

A:

Q: ating / * sin (2x)cos(2x) dr by substitution, if u= sin(2x) th

A:

Q: Compute limx→0 sin(x) − x divided by  x^3

A: We have to evaluate the limit: limx→0sinx-xx3 After putting limit value we can see that this is 00…

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: when

A:

Q: sin(4 + 5x) cos (5x – 4)dx

A:

Q: tan 3x lim sin 8x

A:

Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: Find lim Sin 3x (1- Cosx) メーや。 メ*s X Sinzx cosx

A:

Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.