Q.7 Show that B(x,x+)= (2)ª B(2x + 2x)

Q: 3 max z = -X1 + 3x2 s.t. X1 - x2 4 X1, X2 2 ()

A: LINEAR programming problem graphical method

Q: 2 3 %3D x у 2|%3D5, find lg 5y 2 - 5у!. Ip q r |p 5x 1-5x| a. Given that |A| = Ir 5z 3-5zl

A:

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

A:

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: S xdx can be solved by either algebraic subsitution or integrataion by parts. Vx- 1 A True B False

A:

Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: (c) Show that V(3) = o²(X'V-¹X)-¹.

A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

Q: Maximize B=6xy^2​, where x and y are positive numbers such that x+y^2=4.

A:

Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

A: In the given problem we have to show that                                 x-1x+y-1β(x-1,y)=β(x,y)

Q: 3. Differentiate the following x2-1 a) y = x2+1

A:

Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

A:

Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

A:

Q: S: z = √x² + y², (x-1)² + y² ≤ 1

A:

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: y show that = 0. . If z: x² + y² II

A:

Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

A:

Q: Q:2: a) Find implicitly, if y²cosy +x² = 2xy

A:

Q: Find The valu eo of a and b :for: Fcr): X-2 7 7X d! ax²-bx+3 if 2<x<3 2x -a +b if x3

A:

Q: 3. Find the coefficient of xy' in (2x + 3y)°.

A: The provided information is we find the coefficient of  x2y7    in (2x+3y)9 Then, (79)*(2x)2*(3y)7…

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

A:

Q: f(z) = 2(x – 5)² + 3. - f (x) is invertible for which values of x?

A: Given function is: fx=2x-52+3 Then we get,…

Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.

A: Given that,

Q: 1 of f(z): is z2+2z+2 %3D

A:

Q: 1 B (m,n) = m-1 (1-x)"-ldx %3D

A: Concept: By definition of Beta function

Q: 2t Mr (t) - %3D 7-ゼ Find the MGF of 2- 3(W-2)

A: # Given: mgf of random variable w is  Mw(t)=9e^2t/(9-t^2)  then to find mgf of Z=3(w-2)??

Q: 1. (1+ V)²dx 2 2. (교2-z) dr (r-1 +x)2 3. xp-

A: solve the following

Q: 8 EXIF W-f Cxr g), X=2u+3 V 9. y -3u - 2V »Provethat wuv bw xX+5 wXy-6WYY 10 11

A:

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +…

A: Given, rx=lnx3+2x2+3x+1

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: 14 (3 3 1f y=/xL5x²–36 x15x²-36 X23x²+¥x-12 show that dy dx4 24

A:

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

A:

Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

A:

Q: 3 13. Evaluate x2 Vx + 2 da -1

A:

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

A:

Q: a) Evaluate ²₁ √√1-x² √√1-x²-y²e-3(x²+y²+z²)² dz dydx

A: The given problem is to evaluate the given triple integral of Cartesian coordinates.

Q: = (y² – z² +3yz – 2x of the following is/a

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Q: 4 %3D X2+2x-15 is X-3 S+X

A:

Q: In x +1 If y = then will be 2x³ – 3x' (2x³ – 3x) G+1) – (In x + 1)(6x² – 3) (2x — 3х)? А. (2x3 — 3х)…

A: SOLUTION-

Q: What is the discriminant of the PDE?    4d2/dy2=-3du/dx-4u

A: the discriminant of the PDE is :

Q: B (m,n) = xm-1 (1-x)"-1dx %3D

A: Using the definition of Beta function  Bx, y=∫01tx-11-ty-1dt                  1

Q: 1) The mZRWV= 4x + 2. Find the value of x. * R V.

A: in the given rhombus RSTV m∠RWV=4x+2to find the value of x

Q: Solve the equation forX, given that

A: To show that the given matrix B commutes with the other two matrices, B=abcd commutes with 1000  and…

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

A:

Q: Find дхду of z %3 In (x? - у) -2х дхду (x²–y)² 2ху дхду (x² –y)² 2х дхду (x²–y)² O. 1 %3D дхду…

A: Givenz=ln(x2-y)To find∂2z∂x∂y

Q: 3a Show that the method xn+1 = Xn 6+ Xn ,converage to vā. %3D 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.