Gwen That 2 .... 2 76 e 2! 3. Show That 3-322 %3D 2 3-33x+ 357x² 3819 x+ 48 and write down the rachis f corergena of The senės

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: Given: f(x, y) = x³y +exy² find fxy to 9. b. find a³f хепеле

A: Given f(x,y)=x3y+exy2

Q: Suppose an -6a, 1+ lan 2 - lan 3 and a4 34, as = -211, and as 1305. Find a1, a2, az. %3D %3D and

A:

Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

Q: = 7x3-3x2 +x+2 and B one: 5x3 +7x2-11 b. -5x3 +7x? – x - 11 -5x3 + x2 +x- 11 c.

A: Given: A=7x3-3x2+x+2B=2x3+4x2-9Find: B-A

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: S. x Y+ 3 x²

A:

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: ५हीकटिकप्रेट %3D (ट+ प्ढ़ी-धा

A: Solution  Given13 - (2n+2) = 2(n+2) + 3n=> 13 - 2n - 2 = 2n + 4 +3n

Q: What is AA-. wbetce 2 2 1 2 2 2 1 1 A = 2

A: To Determine: find AA-1 Given: we have a matrix A=122212221 Explanation: we have a matrix…

Q: 6. fx√4x+1dx

A:

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

A:

Q: (3+ 5x)°dx

A:

Q: find the Valus of xad y for which 2.

A:

Q: If A: find A 2. 3 3. and Show Shat A-3

A: A=1213 Now determinant value is, A=13-12=1 Adjoint of matrix A is, adjA=3-2-11 Now,…

Q: Evaluate. (10x³+4x² - 7x+2) dx

A:

Q: Sx ³√x²+4 3 S

A:

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: 85 MATH2215 2x+1 dx x2-7x +12 2x+1 メー4XX-3) B. (X-4) (X-3) ACX-3)+ B(X-4) てメー4)CX-3) = Ax-3A+Bx-HB…

A:

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: veify For nzl that 2n t i73+5 tn t (2n-1)

A: To verify : For n≥1 ,   prove that 12+ 32 + 52+........+ (2n-1)2 = 2n+13

Q: 5 + 4x + 3 ) dx Find x4 + C

A: ∫(4x+5x4+3)dxApply linearity:4∫x dx+5∫1x4dx+3∫1 dx

Q: raically 7) 2x 3 +16x² = 40x %3D

A: We subtract 40x then factor out GCF 2x.

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

A:

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: а. In(3x — 5) %3D 0

A: we have to solve for the exact value of 'x' (1) ln(3x-5)=03x-5=e03x-5=13x=6x=63x= 2

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

A:

Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

A:

Q: 2y³ . 3xy³ 3x²y4 2,4

A: Given,           2y3·3xy33x2y4

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: (2). 2 Z√2 5

A: Solution: (z√2)5/(z√2) = {z5(√2)5}/(z√2)                         = z4(√2)4                        =…

Q: Simplify. −x²³y² − 4x²y² + xy² -7x³y² +5x² - 2x³y² O-9x³y2²-4x²y² + 5xy² O-14x³y²-4x²y² + 5xy²…

A: Simplify

Q: If 5x + 3 = 7x – 1. Find x a. 1/3b. ½c. 1d. 2

A:

Q: Evaluate √3x So So dydx √√x²+y²

A:

Q: 15. Find mzN. (8x+17) (12x-39)

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

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.