cos(48°) Use differential to approximate the value of

Q: sin xcos* xdx х cos

A:

Q: cos(: sin@)]=[- sin(esin@)]. * (b) (i) Show that - cose dt

A: We will use product rule of differentiation here

Q: valuate sin

A: We have to find the value

Q: y3극 cos(10xx) 7 을 cos(10x) period amplitude

A: Given,          y=-47cos10πx

Q: sin20 de 1+cos²0

A:

Q: tan(e) cos(0) - sec(0)

A:

Q: |sin² xcos“ xdx

A: The given integral is: I=∫sin2(x) cos4(x) dx

Q: cos-") sin ()dt 3 COS

A:

Q: 1. sine 12 13 cosine tangent

A:

Q: Simplify secA (1-sinA)(secA+tanA)

A:

Q: Sinx -cos2y=l COS

A: If f(x) and g(x) are the functions of 'x' . Now, differentiate y= f(g(x)) with respect to 'x' , then…

Q: Solue the differential equatin Sinc

A:

Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: sin 5. Approximate | * dx| by Simpson's rule with seventh ordinates.

A: To approximate,∫0πsinxxdx    Dividing the interval 0, π into 6 equal parts each of width,h = π-06 =…

Q: sin’ 0 cos“ 0 de

A: We are given the Integral : ∫sin7θ cos6θ dθ Let I=∫sin7θ cos6θ dθLet cos θ=t ⇒sin θ=1-t2⇒dt=-sin θ…

Q: Find the period and amplitude. y = 6 sin 5x period           amplitude

A:

Q: Sin (Cos8X) Find dy

A: Given,           y=sincos8x

Q: sin-1 х — у- dx + (tan-1(yx-1))xdy = 0 | cos

A:

Q: Sin(2x)Cos(nx) da

A: Law :  2sinAcosB = sin(A+B) + sin(A-B)

Q: SinA (1+cos A) = 2cosecA (+cos A) sin A

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: Determine? cos 3x.dx

A: Given integral ∫cos(3x) dx, solve using the properties of indefinite integrals ∫cos(ax)dx=…

Q: Approximate cos 46 degrees using linear approximations.

A: Approximate cos 46° using linear approximationswe choose a= 45° , the derivative of 'cos' at this pt…

Q: sin-1 Vx 7. S Vx — х2 dx

A:

Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0

A:

Q: sin 4t sin 2t dt

A: To evaluate the given integral.

Q: Sin3x.e" Šinx

A: We will use standard formula of integration

Q: sina+sinatan² dx a sinx 2. ·S

A:

Q: Coso 1-Sine SinG

A: Using indentity  (a+b) (a-b) =a^2-b^2

Q: tanode B В sec®

A:

Q: 1 cose sin 0 2/3 2 csce: 3

A: Explanation and solutions is given below....

Q: Find phase shift sin ((1)/(4)x+(\pi )/(3))

A:

Q: Cos t csct

A: cos t csc t

Q: 5 Sine cose do 1. Sine+ 3sine - 4

A: Indefinite integral

Q: 1- sine = sece- tan e %3D CoS cos e

A:

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: FTi csc x = 4,90° < x < 180°, then %3D sin cos %3D tan %3D II II

A:

Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: CoSe Zane Sine

A: We will solve the following.

Q: dr =-1- 2r cose sine de

A: First order Linear differential equation is of the form: y'+py=q…

Q: sin-1 Vx dx Vx — х2

A:

Q: CoS 2n du.

A:

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: e phase shift of y = -3 + 3 sin

A: The given equation is y=-3+3sin6x-π2.

Q: cos –1 (-V)] 2 sec OS

A: Simplification

Q: cos400 de J3- sin40

A:

Q: [sin(3x) sin(7x) dx a.

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.