2 of 10 L3) Solve for the zeros of the function: 57 y = 4 cos( (x + )) – 2

Q: 2cos'z = COS T Select all correct solutions.

A: Follow the procedure given below.

Q: Which is the du in y= sin (x2-2x + 1)? x2-2x + 1

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Q: A-Show that S 1, L{cos at} s2+a²

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

Q: Use a CAS to find the solutions of y′ + y = ƒ(x) subject to the initial condition y(0) = 0, if ƒ(x)…

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Q: Transform F(s) (giving you cos 5t + t³

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Q: Solve the following ODE y' + tan(5 x)y = 0 with initial condition y(0) = 3

A: Given that: y'+tan(5x)y=0 and y(0)=3

Q: (a) Find out solution of the following 3rd order ODE: y" – 4y' – 4t + sint – tet = 0 - -

A:

Q: Suppose z and y are funetions of time and satisfy the formula e sin y = In y + tan dy Write a…

A: Solution:- differentiate with respect to t.

Q: y" + y = 3x sin x

A:

Q: = cos(x + y), when x = 0, y = " %3D

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Q: Find the value of zrr at the point (0, 3, 2) where x²y? + z² – cos(xyz) = 10. |

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Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: 8 Find the anti denivapine Sfa) faa or © f la) = Cos ( 6x) 16 - Sin? ( 6x)

A: f(x) = cos(6x)16-sin2(6x) ⇒I=∫f(x) = ∫cos(6x)16-sin2(6x)dx Since dsinxdx=cosx, therefore:…

Q: 18 a Show that / (1 + sin 2zx)dx = n, for all positive integers n. b Sketch y = 1 + sin 27x, and…

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Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, 2A-3B…

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Q: The integral (cos(3x)) sin(3x)dx under the change of variable u = cos3r becomes u du. Select one: a.…

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Q: Use the substitution formula to evaluate the integral. (1 + cos 3t) 2 sin 5t dt 15 15

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Q: Use the Substitution Rule to provethat∫cos2ax dx =(x/2) +(sin(2ax)/4a) + C.

A: The given integral is ∫cos2axdx=x2+sin2ax4a+C

Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

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Q: the solving for equa tion ty=o is 1-y= COSX %3D 2-y= Sin x %3D y= tax

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Q: Q2/provethate Cos17 +SinI7 cos17-Sın17 %3Dtun62

A: We have to prove that                               cos17°+sin17°cos17°-sin17°=tan62°

Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

A:

Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: Find 7'(t), given 7(t) - 4e 2t (3 sin(2t), ,4 cos(4t)). F'(t) =

A:

Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: Solve 3 tan(z) = V3 over the interval [0, 27)

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Q: Find the first approximation to the root of the equation xe" – cosx =0 using Regular-Falsi method…

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Q: Evaluate. S cos a In(secz)dr COS D

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Q: 3) Solve for r, where 0 <x < 2n. 2 cos r +1=0

A: We have given a trigonometric equation        2cosx + 1 = 0 , where   0≤x&lt;2π. Solve the given…

Q: (c) Integrate sin"uelog (cosu) . Where n is 482

A: Integrate the sinnuelog(cosu). Where n=482

Q: du Given u In[y cos(3x²y)1, solve CoS %3D ax

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Q: Find y' (y prime) and y" (double prime)y = cos(x2)

A: To determine the expressions for the first and second derivatives of the given composite function

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value…

A: we use the formula ddx(ax)=ax lna

Q: (1 + cos 9t) 2 sin 9t dt

A: ∫0π1+cos9t2 sin9t dt Consider, ∫1+cos9t2 sin9t dt Put, 1+cos9t=u⇒0-9sin9t=dudt⇒-9sin9t dt=du⇒sin9t…

Q: Q1:- Solve the following DEs:- xy2-cos x sin x 1) y' = y(1-x²)

A: The most general form of a linear differential equation of first order is dydx+Py=Q where P and Q…

Q: Find the positive solution of f = 2x – cosx

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Q: Use the method of undetermined coefficients to solve the differe equation dy + ay = cos br, dr?…

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Q: Find all solutions to 2 cos(0) = V3 on the interval 0 < 0 < 2n %3D 0 =

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Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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Q: Solve the eaation on the interval. 2sin Đ =3(cos o t D

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Q: Find all solutions of cos 2x V3 for x if 0 < x < 27. 2

A: on solving this we get the

Q: Let 1 = , x² cos(x) dx. The approximation of I using the two-point Gaussian quadrature formula is:

A:

Q: 6. In right ALMN with right angle at N, sin L 4x-0.22 and the cos M 2x+ 0.28. Determine and state…

A: Given; sin=4x-0.22 and the cosM =2x+0.28.

Q: 3 Differentiate: y = In cosh° (cos 2x)

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 From the given problem:…

Q: O Find the solutions of : 1+sinx=2(cosx)´ in the interval 0<x<2T.

A:

Q: The integral (cos(3x)) sin(3x)dx under the change of variable u = cos3xbecomes v uz du. -9/29 Select…

A: Given,

Q: Show that, for any constants k' and 'a', u = sin(kx) sin(akt) is a solution of the equation Ut =…

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.