2x + 1 Given that (1 – x)(2 + x)' 1. 2 + x A P-1, Q=1 -B- P= 1, Q = -1 C P=-1, Q=-1 D P=-1, Q= 1

Q: Solve the equation using Jacobi's Method (Error≈0.001): 2x1 - x2 + x3 = -1 x1 + 2x2 - x3 = 6 x1 -…

A: Given system of equation 2x1 - x2 + x3 = -1 x1 + 2x2 - x3 = 6 x1 - x2 + 2x3 = -1

Q: 6 4 for f(x, y) 3 3x у" - 4x"у. 5 3 Verify that дх ду ду дх of 4 5 3 4 18y x - 20y°x dx 18x°y -…

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Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: 3.2.5 Test for exactness then solve. (x3+ xy2 − y)dx + (y3 + x2y − x)dy = 0

A: Given: (x3+xy2-y)dx+(y3+x2y-x)dy=0

Q: Q.3 а. Using first principle develop a formula of finding AY AX when Y- {(X)+g(X) Z(X)

A: y = (f(x) + g(x)) ÷ z(x)     Hence,  => ΔYΔx  =  dydx  =  ddx(fx+gxzx) By quotient rule of…

Q: Let y"+5y' +y=x= e* the particular solution of the equation can be obtained: Select one: a. By both…

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Q: Consider the equation Xyk = Yk+1 - - 1; X= constant. (2.87) This corresponds to ar chapter, the…

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Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x. (ii) x²u"+xy' +(x² – !)u…

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Q: Please solve using 2nd Order and 4th Order Runga-Kutta y'=ysin^3(t)       y(0)=1 t= 0 to 3   h=0.1

A: Since, we have maximum pages uploaded is 10. So We give you only solution of second order RK method.…

Q: 3. x = 1-5t and y -t+ 3 for 2 < t<6 %3D y (x,y) Domain:

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Q: : A plate whose shape is given by x 2+y 2 ≤ 1 is heated so that the temprature T(x, y) at the point…

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Q: Using R.K. method of fourth order, find y(0.8)correct to 4 decimal places if y'-y-x v(0.6)=1.7379

A: Given y'=y-x2  y(0.6)=1.7379. Using R.K method of fourth order, we need to find y(0.8)  The solution…

Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y…

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Q: 2. Differentiate y with respect to x of the equation y=- X+1 3. Solve for x of the equation 2…

A: (2). Given: y=x2x+1   We know that; The Quotient rule: fg'=f'·g-g'·fg2   From the definition of the…

Q: Let y" + 5y' +y= x-3 ex the particular solution of the equation can be obtained: Select one: a. Only…

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Q: Q1 Find root of equation f(x) = In (x')-5, using N-R method in [5,6] with e S0.0001, take E=|x1-x,…

A: Note: It is assumed that the N-R method is the Newton-Raphson method. The root of the equation…

Q: Find for the following by using appropriate rules: dx i. y = Vt , x= ++1

A: Differentiate y and x w.r.t 't' And, Recall quotient rule

Q: L[(t + 1)2e] = ? %3D s2-1 s2 +1 (s-1)2 (s – 1)2 -

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: Q2: If Z1= 4i-3 22= 3i Z1+Z2 Find Z2 (2x² x > 2 Q3: if f(x) = 4 x < 2 f(x)dx

A: For question 2 given data is   and for question 3 given data is…

Q: (1) E(x, -x)² =Ex} – nx² | (ii) E(x, –x)(y; -y)=Lx,y, – nxy (üi) E(x, – x)(y, – F) =Ex,(v, - )

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Q: x-(1+iy) Q11: Express- in terms of z and z. (x-1)2+y2

A: Let z=x+iy and z bar =x-iy

Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: Choose your method Use any method to evaluate the deriva-tive of the following functions.

A: The given function is fx=4-x2x-2

Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 1. D²(D – 1)y = 3e* + sinx 2. (D² + D – 2)y =…

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Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

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Q: (2 (1=x)² F flxa ax² tbx?, determine a and OF b co that the grape of f will have a point of…

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Q: Q.3 а. Using first principle develop a formula of finding AY AX when Y-LX)+g(X) Z(X) f(X)+g(X)

A: Note :- Due to having multiple sub parts i am providing here solution of part a only

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: et y" +5y' +y= xe* the particular solution of the equation can be obtained: elect one: a. By both…

A: The given differential equation is -  y'' + 5y' + y = x-3ex

Q: olve following equation with master theorem T(n) = 2T(n/2) + n2

A: The master theorem says that, If there is a reccurences of the form, If a&gt;1 and b&gt;1 are…

Q: 7- f (x)= 3.x², 0<xr<1 olarak verilsin. P(/2/ (2, = ? O a. 1/8 O b. 1/4 Oc 3/4 O d. 7/9 O e. 1/9

A: Solution: 7. From the given information, the probability density function of X is

Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

A: Solution

Q: 'ain(t -플)') co여(t- dt

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Q: f(x) %3D (х + 1)"- 9 h(x) %3D 2(х + 2) (х — 4) а. с. g(x) = (x – 1) – 9 b. d. none of thеse 10 8 4…

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Q: Find all a E R that the given equation does not have solution: а — 5 x +1 7+ 3a 2ах — 5 - - - x – 2…

A: Given equation is: a-5x+1-7+3ax-2=2ax-5x2-x-2 Take L.C.M. on left hand side:…

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

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Q: (i) Determine the number g, of ways of tossing a coin n times so that the combination HT never…

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Q: 3+1 f(r) = 4r² – 1 g(x) = h(1) = VI 2т + 1 13. (f - 9)(г) Sz3 + 4x? – 3r – 4 (A) 2т +1 8r3 + 4r? – 1…

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Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

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Q: Let y" +5y'+y=x3 e* the particular solution of the equation can be obtained Select one: a. By both…

A: The given equation is -  y''+5y'+y=x-3ex

Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

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Q: x=k y=1. kER 2=k x=1+k y=k ,kER z=1+k x=1 kFR

A: we have to find the parametric equation of the line that passes through origin and A(1,0,1).

Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

A: We have to find

Q: 4 | V1+y dy 3 ((1+9) GAC). ZV 2). 3 for KQuestion 6.6.13 -1/2 -x S= 27 V1- a21+ dx -1/2 r1/2 dx =…

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Q: Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

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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.