H.W OFind the -x2

Q: _If A = Verify that [A-!]" = [A"]¬1 ? l1 2.

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Q: From z= 0 to z = 1.57

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Q: e algebraic form of the

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Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: if f(t)

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Q: Let Find M13 and C13. M13 = C13= ND MI A = -1 -3 0 0 7 1 8 8 9 4 5 0 -6 7 -6

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Q: 8+ド. K 13 let y6)=1 andyい し" Find Ķ

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Q: As x→4, k(x)→ As x→−10, k(x)→

A: Given a graph for various values of x and y. We need to find: As x→4, k(x)→ As x→−10, k(x)→

Q: 2. Let, a1 = 3 and for n 2 2, an = 2am-+1, express an in terms of n. 3. Let, a1 =3, a2 = 4 and for n…

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

Q: If 40% of x is 300 then find x

A: Given,40% of x is 300then, x = ?

Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

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Q: show that (ex1 )^x2 = e^(x1 x2) = (ex2)^(x1 ) for any numbers x1 and x2.

A: In order to prove the equations:

Q: & 18) Vaing show that the idntity (i+a5^= (1+x)" (1+x), 2

A: The given problem is to prove combinatorial proof using basic binomial identites, we have to show…

Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: Compute |x| and [x]= for each of the values of x 17/4

A: We have to compute the values of | x | and [ x ] for x = 17/4.

Q: show that |z3|  ≠ |z4|  it is verified that |z1+z2/z3+z4|  ≤ |z1|+|z2|/|z3|-|z4|

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Q: Σ 9n n = 1 Identify an-

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Q: やx) - 3-X 2: To fmel つ Let 3-x>。

A: We have to find the domain of the given function.

Q: Let 7(t) Find (Note that the +C has already been included for you). = + Č Answer preview: <

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Q: Open intereval (0, a)rettan as {x ER/S bx > a } {x ER /x a }

A: given a statement

Q: n=1 m sup,+∞ an = (lim infn an)+2. %3D n-00

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Q: Let the score on Fred’s first exam be q, the score on his second exam be s, and the score on his…

A: Score in first exam = q Score in second exam = s Score in third exam = t Total score = q + s + t…

Q: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

Q: 1. Let, a1 = 7 and for n > 2, an = " express a, in terms of n.

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Q: Lise a direct proof to show "fx's odd and y is even, anen x+1s odd."

A: The given statement is: "If x is odd and y is even, then x+y is odd" Result: Any odd number x can be…

Q: Which of the following is a coefficient of x' in (2 - x)11, O -5280 O 5280 О -330 О 330

A: In the expansion of (a+b)n , the (r+1)th term is given by tr+1 = ncr.an-r.br

Q: 3. Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 + an-2 -5, express a, in terms of n. %3D

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Q: 5) Let A= 18 Using Caley-Hamilton theorem find the expression A* -19A³ + 18A? + A + 21.

A: Please refer the attached image for complete solution.

Q: n+2n Show that represents an integer Vn EN.

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Q: 4. Let, a = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2 +n, express a, in terms of n.

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Q: Given z(x) = -x2 Find the following: z(3) z(-2) z(0)

A: z(3)=-(3)2       = -9

Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 + an-2 - 5, express an in terms of n.

A: We will solve the problem using recurrence relation

Q: - Given A 4 find AT A. 1

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Q: Express x = In(t), y = 8 – 3t in the form y = f(x). (Use symbolic notation and fractions where…

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Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: ansform of the follow 1

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Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: for 1 for I>1

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Q: Let X = {1,2,3}. (1 2 3 ) give a) For a (3 2 give a321

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Q: N Let y (0) X ~ Bin 0.3 {0.4

A: From the given information, X follows Binomial distribution n,Θ. PX|Θ=nxΘx1-Θn-x yΘ=0.3, Θ=Θ1,Θ20.4,…

Q: 11) Suppose an>0. Which of the followill

A: This is a question from the series.

Q: Find all values of x for which |6x – 1| = 1 – 6x. - Select one: O (-00, 1/6] O -1/6 not in the list…

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Q: 4. Prove the identity div (fF) = f div F + F Vf.

A: Given Data To Proved div (fF) =f div F+F∙∇f   Evaluate the left-hand side,

Q: Tilm

A: To findlimx→22x2+13x-2

Q: 4 If x is an integer, then xr >x.

A: See the detailed solution below.

Q: Find the particular solution of 3 (Use symbolic notation and fr

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Q: h >x hɛIA

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.