u(s) = (tan(s))'n(94)

Q: tan + x Anctan ly =0

A: The given differential equation is,

Q: sec z 47. tan z tan z

A:

Q: What is the indefinite integral (anti-derivative) { cos(x) dx? ○ sin(x) + C cos(x) + C - sin(x) + C…

A:

Q: tan zeecz coS z

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

Q: (sinx E,x# 0 a) f(x) = in x = 0 0, x = 0 b) f(x) = x - |x| in x= 0

A: Topic:- Continuity

Q: defines eX-e-x O a. tanh x Оb.csch x O c. sinh x

A: 2ex-e-x=?

Q: Integrate sin 4x cos 5x + cos 4x sin 5x

A: SinAcosB+cosAsinB=sin(A+B)

Q: sinh (iz) = i sinz sintiz) =isinh z,escia)= cosh: 2. !!

A: In this question, the concept of a trigonometric function is applied, Trigonometric Function The…

Q: What’s the difference between differential and inferential Calculus? And How do they apply to…

A: DIFFERENCE BETWEEN INFERENTIAL AND DIFFERENTIAL CALCULUS:…

Q: find integral tan 3 x dx

A: To find the integral of tan2x first split tan into two part and the using property of sec and tan…

Q: Leb Fur =ue Show thab f6/0 )c

A:

Q: Prove: sinh(x – y) = sinh(x) cosh(y) – cosh(x) sinh(y)

A: The basic relations we need to know to solve this problem are, sinh(x) = ex- e-x2cosh(x) = ex+ e-x2

Q: Using Beta function, show that dx 3- (b – x) (x – a) |

A:

Q: cos (In z) sin (In x) dx

A: To Evaluate the integral

Q: sin x dx V2-cos² x

A: Given : ∫(sin x/√2 - cos2 x) dx     ....(1)   Let cos x = t   Differentiating both sides w.r.t. x -…

Q: tan °(ln z) sec® (In z) Evaluate dz.

A: Evaluate: ∫tan3lnxsec6lnxxdx

Q: bn =1/n f(x) cos nx dx bn" f(x) cos nx dx bn fo) sin nx dx bn -1/m f(x) sin nx dx

A: Last option is correct.

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

A:

Q: integral Scos 4 (3x) Sin (3x) dx Evaluate the

A:

Q: ,x € (0, 2] ,a = 0 f(x) = sinx then f (x) dx = 1 3 2.

A:

Q: 2 tanx cotx – tanx=0

A:

Q: sin (2x) dx 2. ( (sin(In x) + cos(In x)]² dx xp: 3x/10 In(3x) – (1In(3x))²

A:

Q: O tan-()+ -dx =| Business Mathematics And Statistics x4 +1 Questions 1 O tan-(+e -) + c V2x x2 +1 O…

A:

Q: integral of cos x sin^3 2 x dx

A:

Q: tanx -√ S sec²x 1+ et tanx In (secx) √✓ 1+tan²x 1+ elanx sec ³x 1+etanx If f(x) = A B (с 1+1² 1+e'…

A:

Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2…

A:

Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

A:

Q: integral of (e^2x)(sin3x) using u=e^2x

A: Given, ∫e2xsin3xdx    We have to find the integral

Q: S tanx 1+ COS X JX

A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

Q: cos*(x)dx

A: According to integration reduction formula ∫cosn(x) dx=n-1n∫cosn-2(x) dx+cosn-1(x) sin (x)n . For…

Q: 3. sin 8x cos 8x dx s 2x sin 2x dx cos

A:

Q: sin(x) dx J1- cos²(x)

A: ∫sinx dx1-cos2x Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: (2x) Sinx 2. Prove that (1) Jy₂ (x)=√√(x) =_ (11) J-y₂(x) = √(3/1²) Cosx

A:

Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: sin 3x dr + 2y cos* 3x dy = 0 COS

A:

Q: [sin(In x) + cos(In x)]* dx 3. xp: 3x/10 In(3x) – (In(3x))²

A:

Q: Find the differential of the function.

A: Differentials are infinitely small quantities. We usually write differentials dx, dy, dt (and so…

Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: cos x sin x dx 4. sin 2x cos 2x dx 5. cos x sin* x dx 6. sin 3x dx 7. sin³ x cos? x dx 8. 3.

A:

Q: Prove the identity (cosh x + sinh x) n  = cosh n  x + sinh nx

A: Consider the given L.H.S of the given identity coshx+sinhhxn

Q: y = sin(2x) sin(x) + cos ( 2x) cos (x) COS %3D

A: Using the formula of cos(A-B)=cosAcosB+sinAsinB. Explanation is given below..

Q: solve eYsin(x) -y'cos"x = 0 2. cos¯x=0

A:

Q: dx 2 sin x - cOS X |tan+ 2 + V5| In 5 tan; + 2– V5 |tan+2-V5 + C + 2+ V5 2. + C In Option 1 O Option…

A:

Q: when

A:

Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: a) / sin°(x) cos(x) dx = » / sin(x)(cos(x))² dx =

A:

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

A:

Q: Use fundamental theorem of calculus .4 –dx x In x 2,

A: Follow the steps.

Q: Beta Function 27 dx (*+ 1) Prove that

A: The given problem is to evaluate the given beta function integral.

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.