If = C,e=x + C2xe-* + C3x?e¯* + C4e* , then the roots are -1, -1, -1, -1 -1, -1, -1, 1

Q: 23. Given that 4sinh - 2coshx = Ae*+ Be* then A and B are respectively А. 1,-3 C. -1,-3 В. -1,3 D.…

A: Topic- trigonometry

Q: 1 リ=ス,メ=0; Xe2, y=or abt. A the x- Axls

A: Given

Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}?

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Q: (a) Show that xn → x and Yn →y implies Xn + Yn → x + y and also show that an -→ a and Xn → ax. → x…

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Q: perform the indicated calculations 2[2, 2, 1] in Z33

A:

Q: #2 it must be in the format of the second picture.

A: (a)

Q: if f(x1,x2) = e-*-*2, 0 < x1 < o, 0 < x2 < o, F(x1, x2) = e-Xie-x2 + e-X2 True False

A:

Q: Show that 1/2 ( Tn + Mn ) = T 2n

A:

Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: Solve for x: (x-1)(x+2)(x-3)%3D0 O x = -1, -2, 3 x 1, -2, -3 %3D O x= 1, -2, 3 %D O x= 1, 2, -3

A: Find your answer below

Q: E(X), E[(X +2)3], and E[6X – 2(X + 2)). -

A: Expectation is basically an average . It gives an value on the long run of a stochastic process .

Q: Transform the equation 17? ^2 + 18?? −7?^2 − 16? − 32? − 18 = 0 to one in  which there is no term…

A: Let ? denotes x and y respectivelyGiven:…

Q: a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b)…

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Q: 21-I xdydr =?

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Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

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Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

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Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).

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Q: 3. IfU = x' + y'+z'- 3xyz, show that xU + yU + 2U = 30

A: Topic  = Derivative

Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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Q: +o0 - Find Ul-1/i, 1/i]- i=1

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Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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Q: v at a = -11 since,

A: We have to choose the correct option according to the given condition

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

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Q: If a1 5 and an an-1 – 4 then find the value of af. %3D %3D

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Q: Show that E-o (-1)*(")=0, and then verify that () + C) + C)+ - = (") +C) + () +-- -G) + G) + G)-…

A: We can show given identity by definition of Binomial theorem:

Q: dr e +e-z

A: Use u-substitution method to evaluate the integral.

Q: the (1,1)-entry of A¯1B?

A: (b) -8 is correct We have to find out the 1,1 entry of A-1B Matrix A and B is given where A=116118…

Q: It is possible to regress x1 on y. a. True b. Falas

A: From the given dataset we have to check that , is it possible to regress X1 on Y1  or not.

Q: S. ADEF with N-2,-1), -1, 3). 6ARCD with A(I, 4), R3, 2), CO, -2). FO. -1) in the sasis D-3, 1) in…

A: #5  Reflect the triangle DEF in x axis  For reflection over x axis , the rule is  (x,y) -----&gt;…

Q: 1.) Use Cramer's rule to solve (if possible) 14x, - 21x, – 7x3 - 4x, + 2x2 – 2x3 = 56х = -21 , —…

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Q: az If x2 + xy + yz + z2 = 6, then- ду

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Q: уху + ху %3D 7, у"

A: x.y+x.y=7we know thatddx(uv)=vdudx-udvdxv2    and ddx(u.v)=udvdx+vdudxdifferentiate…

Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

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Q: What is the midpoint between z1 = 3 + 9i and z2 = 4 - 12i? (0.5,-10.5) (3.5,-1.5) (-2,-2.5) (6,-1.5)

A: Explanation of the answer is as follows

Q: A (0, 8) В (4, -12) С (9, -1) D (-8, -8) Е (1,-3) F (3, 5) ULLV 1. Identify the component form of…

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Q: Solve for x1, x2, x3, x4, x5, x6 0 3 8 -5 -1 6 x, 34 3 12 -4 8 5 -2 x2 80 0 10-3 7X3 45 36 4 X4 0 0…

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Q: If #1 = 5, ,x2 = 3, an = -4xn-1 + 5xn 2, Vn 2 3. Find the general tem an

A: Characteristic equation is: r2=-4r+5r2+4r-5=0r+5r-1=0r=1,-5

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: Question 4 Solve following system of equations of non-negative integers using methods of Commutative…

A: In this question,  We solve the system of non homogeneous equation .

Q: 2. Show that () (":")-).

A: 2. We have to show that Nk=N-1k+N-1k-1 The formula for combinations is, Nk=N!N-k!k!

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: Compute: (2 -i OC/2-i3) r:

A:

Q: If A = {x° – 3x+2:x €[0, 2]} then in (R, 1,), A = О а. [1, 3] O b. [0, 4] О с. [-1, 3] O d. [-3, 1]…

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.